热烈庆祝

李建华 谢丰 谢理 谢干权

在国际上首先发明可以实现的

 GLHUA和GLLH完全隐形披风

 

http://arxiv.org/abs/1612.02857

http://arxiv.org/abs/1701.00534

http://arxiv.org/abs/1701.02583

http://arxiv.org/abs/1005.3999

 

 

在上述论文中李建华谢干权团队还在国际上首先提出了新奇的超级科学和超级计算科学:

在现行普通科学中,可见的物理物质科学与不可见的思想科学和不可见的社会科学是主要的研究目标。

相反,不可见的物理物质科学与可见的思想科学和可见的社会科学是新奇的超科学的主要研究目标。

经过16年的创造和艰苦努力,李建华 谢丰 谢理 谢干权在国际上首先发现和发明了可以实现的GLHUA和GLLH完全隐形披风 ,和 Easton LaChappelle发明的意念控制机器手都标志着超级科学的诞生。超级计算科学是研究超级科学的入口和通道。我们,超级科学家,超级计算科学家,超级科学的先知先觉者要在超级科学的入口举起强光的火炬;在超级科学的通道点亮盏盏的明灯。。。。。。

 

热烈庆祝

 

湖南省超级计算科学学会成立

学会会址

长沙望城大禹岭超级计算科学中心

 

响应习主席的号召,

感谢省、市、区领导的支持,

 

千年的湖南超级计算科学学会

于2017年1月15日在长沙望城成立。

 

首任和创会会长 谢干权

 

荣誉会长

李建华,侯振挺,郭友中

 

 

常务副会长

罗建书,欧阳君利,田仲初

侯木舟,曹石鼓,黄虎

 

顾问 

蔡海涛,舒立德,钱浩

 

 

超算惊雷

 

千年学会才召开

超级科学响惊雷

长沙晚报金鸡

千门万户开。

 

 

感谢省领导的支持

 

科星群起富三湘,

改革开放张再祥

超算科学千家唱,

芙蓉国里好春光。

 

 

感谢市领导和区领导的支持

 

一路欢呼启望城,

千年学会今举行,

正反劳伦乾坤算,

超级科学家国馨

 

 

 

中国超级计算科学大禹岭中心

Chinese Supercomputational Sciences

Dayuling Center

CSSDC

 

大禹岭超算中心创办人和主任

谢干权,美国博士,教授,美国电磁场科学院fellow院士. 已组织主持60多次电磁力学国际会议.国际知名科学家和电磁力学计算学术带头人,1986年,发起组织创办湖南省计算数学与应用软件学会为一级学会,经过一年多努力申请筹备,由当时的陈邦柱支持特批,作为省一级学会于1987年成立,谢干权担任第一届理事长,(li.jianhua275@gmail.com),至今28年了。

 

大禹岭超算中心副主任

李建华,美国博士,教授,美国罗伦兹国家实验室研究员. 美国吉尔地球物理实验室主任,已组织主持60多次电磁力学国际会议.国际知名科学家和电磁力学计算学术带头人

 

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中国超级计算科学大禹岭中心

Chinese Supercomputational Sciences

Dayuling Center

CSSDC

 

 

湖南省计算科学学会

Computational Science Society

In Hunan Province 

CSSH

 

 

  在世界科学发展的前沿,一门崭新的计算科学像东方的一轮红日横空在世。  美国和全世界的核武器国家都用计算科学模拟核武器代替被国际条约限制的核实验。现在无处不用的电子计算机就是美国为研制第一原子弹而发明的。发明人冯诺曼是美国柯郎数学所的世界著名数学家。是我的博士后导师彼得拉克斯的导师和亲密研究伙伴。第一原子弹能成功爆炸的关键就是拉克斯院士完成的计算。近几年来,由谢干权,李建华等的不超光速的GLLH完全隐形披风,隐声材料和隐震材料就是用谢李的整体和局部电磁力学声学的吉尔GL计算科学方法发明和研发的。目前流行的云计算就是一种整体和局部的国际数据管理计算科学方法。计算数学,计算物理,计算流体力学,计算电磁学,计算力学,计算声学,计算地球物理,计算岩石力学,计算气象学,计算地震学,计算材料学,计算环境学,计算化学,计算生物,计算经济,计算数据学,计算行政,计算哲学,计算心理学,计算法学等都属于计算科学。历史传统到如今,大多数的研究者从事正算,即是从原因到结果,从确定模式出发研究计算方法,所以都称上述计算科学为科学计算。现在,新的从结果找原因的反算科学已经发展起来,从寻找局部模式原因到探索整体模式的源头的反算科学在科学研究中越来越起决定的作用。从寻找局部模式原因到探索整体模式的源头的反算科学更使得计算科学成为独立的科学。在可见科学(散射物理和化学)世界,计算科学与实验科学同等重要;在不可见隐形科学散射物理和化学)世界, 在无散射物理和化学实验缺乏的当今,计算科学是探索和研究散射物理和化学等不可见隐形科学得唯一科学方法。这个新的计算科学还没有为人们所认识。因此,我们在世界上首先提出超级计算科学,发起组织在香港注册成立中国超级计算科学大禹岭中心和湖南超级计算科学中心(名称已专利)和湖南省计算科学学会(省一级学会,名称已专利)。中国超级计算科学大禹岭中心已经建立在湖南省长沙市望城区桥驿镇永丰村大禹岭。 谢干权已在湖南省计算数学与应用软件学会2012年年会上首先明确提出“超级计算科学”和成立“湖南省计算科学学会”.谢干权在2008年512汶川地震和2012年907彝良地震的第3天到达地震中心抓紧余震时期研究计算地震科学并提出计算余震地震学。2012年8月谢干权和李建华在世界上首先发现和提出“光速是无理数”,即无限不循环数。

湖南计算科学学会创办组织申请者:谢干权,美国博士,教授,美国电磁场科学院院士. 已组织主持60多次电磁力学国际会议.国际知名科学家和电磁力学计算学术带头人, 1986年,发起创办组织湖南省计算数学与应用软件学会为一级学会,经过一年多努力申请筹备,由当时的陈邦柱支持特批,作为省一级学会于1987年成立了,谢干权担任第一届理事长,(li.jianhua275@gmail.com),至今28年了。新的超级计算科学横空出世,因此,必须创办组织湖南省计算科学学会和湖南省超级计算科学学会。

GLGANQUAN@GLGEO.COM,电话:180 7310 4386

2012年12月18日

 

光速是无理数

2012年8月谢干权和李建华在世界上首先发现和提出“光速是无理数”,即无限不循环数。又一次证明了对于客观物质世界的每一步真正新的发现和认识都不是过去简单的重复。谢李已有该项发现的专利。

 

 

湖南省计算数学与应用软件学会

 第一届和创会理事长:谢干权

1987

第一届学会理事会单位:

湖南省计算技术研究所

 

                           历史和发展

 

湖南省计算数学与应用软件学会是由谢干权教授于1987年特意命名、动议、和申请创建的,湖南大 学肖伊莘教授支持,经过陈邦柱省长支持和特批而创立的省一级学会。是与湖南数学学会等平行的。学会成立时就严格规定,4年换届,民主选举理事长。谢干权担任第一届理事长。肖伊莘教授为第一届荣誉理事长。在全国,所有的计算数学会都是二级分会。与众不同,湖南计算数学与应用软件学会是一级学会。湖南数学学会恢复后至1981年,经肖伊莘教授推荐,谢干权一直担任湖南数学学会理事,当时是数学会中唯一研究计算数学的理事。1981年8月,美籍华人计算数学家陈永明教授访问湖南,湖南没有计算数学分会,负责接待的数学会又没有接待经费。李建华谢干权于1972年在中国最早研发了三维有限元和1973年在世界上最早发现了三维有限元超收敛并用以计算了大量水坝等工程应力,于1978年获得了全国科学大会和省科学大会奖,在工程界获得好评,获得中国计算数学的创始人冯康院士的高度评价。为接待陈永明教授,李建华谢干权得到在长沙的多个工程设计院的支助经费,交给湖南数学学会,由湖南数学会接待和主持陈教授演讲反演计算1986年至1987年,中国计算数学的创始人冯康院士费了很大的努力,也没有将中国计算学会从中国数学会里独立出来,至今,中国计算学会依然是二级学会。1981年9月,谢干权访美留学,1984年获得博士,1986年,完成博士后研究,在研究波动方程反算方法取得重大突破,世界权威数学家,美国第一颗原子弹的计算功勋拉克斯评价谢干权是解决困难问题的魔鬼。1986年4月,谢干权回国,冯康院士立即推荐谢干权晋升正研究员。湖南日报于1986年6月5日在头版中上部以“归去神州为大业”报道了谢干权学成归国和立即晋升正研究员的事迹,在全国学术界和湖南省领导界产生了很大的影响。谢干权和在美国研究的李建华根据自己在三维有限元和反算方法的重大突破的计算数学和应用软件的成就、深刻的认识、丰富的经验和国家的需要才提出了“湖南省计算数学与应用软件学会”的中国唯一的新学会名称。在中国的当时和30年后的现在,都还是唯一的一级学会名称。同年,谢干权就创建湖南省计算数学与应用软件学会。通过谢干权的巨大的努力,湖南计算数学与应用软件学会作为一个在当时有谢干权李建华的新科学目标和新成就的新的一级学会于1987年成立了, 这在全国是独一无二和首屈一指的。经历了7届理事会,到2015年,湖南计算数学与应用软件学会已经成立28周年了。所有违背本网站上述学会历史真实记录的任何网站和传言都是在编造历史。谢资清在她把持的师大网页上编造学会假历史。因为谢干权从1978年起就是湖南数学会中唯一从事计算数学研究的理事。在谢干权于1987年创建成立“湖南省计算数学与应用软件学会”之前,湖南省只有数学学会,没有计算数学分会。在2015年,谢干权发现师大网页上编造学会假历史后就要求谢资清更正。将近两年了,谢资清没有更正和坚持错误。谢资清在“湖南省计算数学与应用软件学会”的历史上造假。谢资清的所有作假违法行为一定会被揭发和查究。从2011年至今,谢干权和李建华又创建新的湖南省超级计算科学一级学会。2012年,谢干权和李建华注册了下述4个学会和研究中心

1. 湖南省超级计算科学学会

2. 湖南省计算科学学会

3.中国计算科学学会

4.中国超级计算科学学会

5.中国大禹岭超级计算科学中心

6. 湖南大禹岭超级计算科学中心

7. 长沙大禹岭超级计算科学中心

8. 望城大禹岭超级计算科学中心

感谢习近平总书记的英明领导,感谢湖南省委省政府、长沙市市委市政府和省市科协的领导和望城区领导的支持,2013年,谢干权李建华教授回国回湖南,创立了长沙市望城区大禹岭超级计算科学中心,出成果,出人才,新的超级计算科学横空出世,因此,谢干权李建华又发起创建组织新的湖南省计算科学学会和湖南省超级计算科学学会和超级科学和超级计算科学研究中心(名称已专利)。为振兴中华科学,为湖南和中国的超级科学和超级计算科学做出新的贡献.....

2016年,湖南省领导,湖南省民政厅,湖南省科学协会批准成立中国和世界上第一个超级计算科学学会“湖南省超级计算科学学会”。“湖南省计算科学学会”会名被谢干权专利保留。

2017年,一月十五日,湖南省超级计算科学学会成立了。

30年前,1987年,谢干权创建了中国第一个”计算数学与应用软件学会”即“湖南省计算数学与应用软件学会”,至今还是中国唯一的“计算数学与应用软件学会”;2017年,国际著名科学家李建华和谢干权创建了中国和世界上第一个超级计算科学学会。

“湖南省超级计算科学学会”。

谢干权被选举出任第一届创会理事长。李建华被邀请出任学会荣誉主席。见长沙晚报报道。又见长沙晚报的报道。

 

                 中国最早的三维有限元


 1972年,谢干权和李建华教授用与西方不同的

方法,独地构造三维20节点等参元,在中

国最早研发了三维有限元方法。1973年谢干权

和李建华教授在世界上最早发现了三维20节点

等参元的超收敛o(h^4). 为全国20几个大型水

坝和矿山计算了位移,变形和应力,为国家

节省大量的建设资金。荣获1978年全国科学

大会奖和湖南科学大会奖。冯康院士教授

给予了高度的评价(证据,冯康的推荐信)

世界上最早发现的有限元超收敛

谢干权的学术论文“三维弹性问题的有限元法”经过冯康等多次审查发表在科学出版社的“数学的实践和认识”1975年第一期。28页至41页。 在第33页和第39页,谢干权就发表了1973年他和李建华发现了的超收敛现象 有o(h^4)的超收敛。谢干权当时称为“收敛的好处”。M. Krizek 教授在international Journal of numerical analysis and modeling 2005, 写道:"The first superconvergence result for d=3 goes back to 1978 when  Zlama in [73]......Supercongence at the Gauss points of isoparameter block elements was numerically observed already in 1975 by Xie [69] for linear elastic problem. Similar results was later drived by Chen in [12] 1980.

M. Krizek 教授证实了谢干权在世界上最早发现三维20节点等参元的超收敛现象(1975), 而Zlame 是(1978), Similar results was later drived by Chen in [12] 1980. M. Krizek 证实了陈传淼是在后来才研究超收敛的。
因为,谢干权的学术论文“三维弹性问题的有限元法”经过冯康等多次审查发表在科学出版社的“数学的实践和认识”1975年第一期。28页至41页。 在第33页和第39页,谢干权就发表了1973年发现了的超收敛现象 有o(h^4)的超收敛。谢干权当时称为”收敛的好处“。发表在“数学的实践和认识”1975年第一期的谢干权的学术论文“三维弹性问题的有限元法”的首页的下注已注明,该文1973收到,1974年收到修改稿。这些铁的事实就证谢干权在世界上最早发现三维有限元的超收敛。

这个成果是谢干权和他的合作者李建华教授共同获得的。

 

热烈庆祝望城二中七十周年校庆

 

谢干权

 

望城二中七十年,

培育人才数万千,

年年高考年年胜,

勤学苦练日月天。

 

 

望城二中七十年,

爱龙教育出圣贤,

中华世界多校友,

胡公喜数古樟前。

 

 

望城二中七十年,

风云变幻话时迁,

思益二中跟着党,

师生同读和谐篇。

 

 

望城二中七十年,

二零一二喜空前,

金榜题名九十九,

神九天宫载状元。

 

隐形科学的突破

新的整体和局部场方法GL Method

可用普通光学材料实现的不超过光速的GL隐形披风

 谢干权和李建华

http://www.glgeo.com/

2011920日在中国计算年会 报告

 

摘要

 

  在本文中,我们提出了一种新的总体 (Global)和局部 (Local)场方法.可用于求解数理化等科学中的线性和非线性的偏微分方程,包括双曲,抛物和椭圆方程和非线性的常微分方程,求解区域可以是有限域,无限域,或具曲面边界的部分无限域. 其无限域包括有限有界不均匀介质区域. 其不均匀介质区域被分划为若干子区域之和. 在这含非均匀介质的无限区域,我们将微分方程的解显式地表示为在若干非均匀介质子区域上和局部子曲面的积分的递归和。 我们把正反算的非线性关系递归地显式化. 在无限均匀区域,微分方程的解析解被称为初始总体场. 微分方程解的总体场相继地被各个非均匀介质子区域的局部散射场所修正. 这种修正过程是一个子域接着另个子域逐步相继地进行的。一旦所有非均匀介质子区域被散射扫描和有限步更新过程全部完成后, 微分方程的解就获得了. 我们称其为总体和局部场的方法, 简称为 GL 方法[1]. GL方法完全地不同于有限元及有限差方法, GL方法直接地逐子域地组装逆矩阵而获得解. GL方法无需求解大型矩阵方程, 它克服了有限元大型矩阵解的困难. 用有限元及有限差方法求解无限域上的微分方程时,人为边界及其上的吸收边界条件是必需的和困难的,人为边界上的吸收边界条件的不精确的反射会降低解的精确度和毁坏反算过程. GL方法又克服了有限元和有限差方法的人为边界的困难. GL 方法既不需要任何人为边界又不需要任何吸收边界条件就可以子域接子域逐步精确地求解无限域上的微分程. 有限元和有限差方法都仅仅是数值的方法, GL 方法将解析解和数值方法相容地结合起来.适合求解大波数的Helmoholtz 方程和高频率的三维电磁波,三维弹性波和三维声波。GL反算方法在力学,声学和电磁地震和地球物理勘探,不破坏探伤,奈米材料,电通讯,光子晶体,隐形披风等有广泛成功的应用。我们提出和证明了了三角的格林函数积分方程公式. 我们证明了当子域的直经趋于零时,波动方程的GL方法的数值解收敛于精确解. GL方法解波动方程的误差估计也获得了. 求解椭圆型,抛物线型,双曲线型方程的GL模拟计算结果显示出我们的GL方法具有准确,快速,稳定的许多优点.

 

基于我们的GL方法,我们发现了不超过光速的GL 电磁各向异性和各向同性的隐形斗篷披风。本文是新为GL隐形斗篷材料,是从我们GLLH的延伸,见论文ArXiv 1050.3999 [2]。在本文,介电和导磁性参数大于一。折射率NR)大于或等于一。这里提出了一个新的GL径向电磁建模和反演方法。在GL径向EM建模,无需解大矩阵,无需人工边界和吸收边界条件。通过在一个独特的有理函数类搜索, GL斗篷建模和反演发现了GL不超过光速的电磁隐形披风,证明了它的界电,导磁,和折射率大于一,和不超光速的属性。本文提出了新颖的电磁波的波前分叉传播。在GL斗篷前电磁波传播总是落后于它在自由空间的传播。这就证实了GL隐形披风克服了超光速的违反。在时间步长118dt,在GL斗篷,波前是弯曲的月牙型波前,它比在自由空间传播慢。在时间步长120dt,在GL EM斗篷内,电磁波传播比光的速度慢,而且,它的两个新颖的新月形前峰相交于一个分支点。在分支点,波前被分为两个波前。一个分支向前传播,另一波前分支向内边界吸引。一个更令人兴奋的突破性进展是,我们发现没有超过光速违反的一个各向同性EM隐形披风。在2001年,我们发现了一个双层披风斗篷现象。因为隐形披风没有散射,物理实验是非常困难,因此,我们发展一个全局和局部领域的方法,克服了FEMFD方法解超大矩阵的成本高和不准确的吸收条件等困难, GL的方法是物理数学实验工具。  GL地球物理实验室保留所有GL电磁斗篷和GL建模和反演方法版权和专利。

[1] Ganquan Xie, Jianhua Li, L.Xie, F. Xie, GL Method for Solving Equations in Math-Physics and Engineering, Acta Mathematicae Applicatae Sinica, English Series, v. 24,n. 1, p391-404,

 

DOI: 10.1007/s10255-007-7148-9


[2]
Ganquan Xie, Jianhua Li, arXiv
1005.3999 http://arXiv.org/abs/1005.3999

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

New GL Invisible Cloak Without Exceeding Light Speed Wave

Ganquan Xie, Jianhua Li, Lee Xie, Feng Xie

Patent Report

GL Geophysical Laboratory

Abstract

In this paper, we propose a new GL EM invisible cloak class without exceeding light speed. The GL cloak material in this paper is different from our paper ArXiv 1050.3999. The radial dielectric and permeanbility of GL EM cloak in this paper are large than one. The refractive index of the GL cloak material, n(r), is large than one or equal to one. Our GL EM cloak is created by GL EM cloak modeling and inversion with searching in a class of the rational function of (h), h = r − R1. The GL cloaks in this paper have finite speed and have no exceed light speed physical difficulty. The GL EM cloaks can be practicable by using conventional optical materials Radial GL EM inviavible cloak modeling, inversion and electromagnetic integral equation for cloak are proposed in this paper. The properties of our GL EM cloak and their proofs are presented in this paper. The novel EM wave propagation and front branching in the GL cloak by GL EM modeling are presented in this paper. The EM wave front propagation in GL cloak is behind of the front in free space. At time steps 118dt, in the GL cloak, the wave front is curved as a crescent like and propagates slower than the light in free space. At the time step 120dt, the EM wave inside of the GL EM cloak propagates slower than light speed, moreover, its two crescent front peaks intersect at a front branching point. At the front branching point, the front is split to two fronts. The novel front branching and crescent like wave propagation are displayed in figures in this paper. All copyright and patent of the GL EM cloaks and GL modeling and inversion methods are reserved by authors in GL Geophysical Laboratory.

On July 2, 2011, our paper has been submitted to arXiv with Stamp ArXiv:submitted/0276008.

The  full paper can be download here.

All contents of  the paper are new and have been patented. Your download address, process and information will be automatic recorded by our patent system. Any  colleague downloads and refers our paper for your research paper, please cite our paper as reference.

Please send an email tomailto:SLEE@GLGEO.COM for download record and guidance
PACS numbers: 13.40.-f, 41.20.-q, 41.20.jb,42.25.Bs

 Correction of GLLH paper ArXiv:1005.3999.

The formula (5) in page 4 of paper ArXiv:1005.3999 should be changed to

                                                 

 

 

 EAT  INVERSE PROBLEM, 吃反問題

Chinese people write "eat food" as 吃飯

Left side of is which means "EAT"=“”,Right side of is which means "inversion”.

"" means that all social revolutions are caused by "eat food problem", i.e. "問題"

"" means that all scientific revolutions are caused by "eat inverse problem."

Made By

Ganquan Xie and Jianhua  Li. GL Geophysical Laboratory

  Copyright belong to GLGEO. We presented in GLGEO and MSRI in November 11, 2010

 

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Photon Was Proposed By Bai Li (李白) in 701-762 in Tang Dynasty

李白 靜夜思

床前明月光,疑是地上霜。舉頭望明月,低頭思故鄉。

In this poem, Professor Bai Li said that

"The light is wave and particle duality, human and animal's emotion are relative to "light" "

"疑是地上霜" means the light may be is particles over ground state

 ""is "Photon"

Made By

Ganquan Xie and Jianhua Li

 GL Geophysical Laboratory

               Copyright and patents are belong to GLGEO

 We presented in GLGEO in 2002, in Mechanical Annual Meeting In Taiwan in 2008,

and in OPT2010 in Taiwan in December 4, 2010

Cite as:

arXiv:1105.0164v3 [physics.optics]

arXiv.org > physics > arXiv:1105.0164

Invisibility cloaking without superluminal propagation

Janos Perczel, Tomas Tyc, Ulf Leonhardt

(Submitted on 1 May 2011 (v1), last revised 20 Jun 2011 (this version, v3))

Conventional cloaking based on Euclidean transformation optics requires that the speed of light should tend to infinity on the inner surface of the cloak. Non-Euclidean cloaking still needed media with superluminal propagation. Here we show by giving an example that this is no longer necessary.

Subjects:

Optics (physics.optics)

Cite as:

arXiv:1105.0164v3 [physics.optics]

Submission history

From: Ulf Leonhardt [view email]
[v1] Sun, 1 May 2011 12:38:03 GMT (1116kb,D)
[v2] Tue, 14 Jun 2011 08:27:51 GMT (1116kb,D)
[v3] Mon, 20 Jun 2011 09:53:24 GMT (1116kb,D)

Which authors of this paper are endorsers?

Link back to: arXiv, form interface, contact.

In May 21, 2010, Professor Ulf Leonhardt et al published a paper in ArXiv, Cite as: arXiv:1105.0164v13[physics].

Page 1-3 and 21-22 of the Paper Pdf file can be download here,  ArXiv:1105.0164.     Also

You can download it in  http://arxiv.org/abs/1105.0164v34 or

http://arxiv.org/PS_cache/arxiv/pdf/1105/1105.0164v3.pdf

Professor Xie et al.'s paper ArXiv:1005.3999 "GLLH EM invisible Cloak with novel front branching and without light speed violation"

that has been published in ArXiv already  one year before Ul at al.f's paper arXiv:1105.0164.

Ulf did cite the paper ArXiv:1005.3999 by xie et al. as his reference  [35]. In the footnote of page 2, He wrote that "Preprint [35] proposes

a different method for cloaking without superluminal propagation".

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A GL Field Method and GL Invisible Cloak Without Exceeding Light Speed Violation

Ganquan Xie and Jianhua LI

GL Geophysical Laboratory, http://www.glgeo.com/,

Hunan Computaional Science InstituteChina

9/20/2011Report In Computational Mathematics Annual Meeting

 Abstract      

In this paper, we propose a new GL method [1] for solving the ordinary and the partial differential equation. These equations govern the electromagnetic field etc. macro and micro physical, chemical, financial problems in the sciences and engineering. The differential equation is held in an infinite domain which includes a finite inhomogeneous domain. The inhomogeneous domain is divided into finite sub domains. We present the solution of the differential equation as an explicit recursive sum of the integrals in the inhomogeneous sub domains. We discover the explicit relationship between forward modeling and inversion. The analytical solution of the equation in the infinite homogeneous domain is called as an initial global field. The global field is updated by local scattering field successively subdomain by subdomain. Once all subdomains are scattered and the finite updating process is finished in all the sub domains, the solution of the equation is obtained. We call our method as Global and Local field method, in short GL method. The GL method is totally different from Finite Element Method (FEM) method and Finite Difference Method (FD), the GL method directly assemble inverse matrix and get solution successively subdomain by subdomain . There is no big matrix equation needs to solve in the GL method which overcomes FEM’ and FD’s difficult for solving big matrix equation. When the FEM and FD is used to solve the differential equation in the infinite domain, the artificial boundary and absorption boundary condition are necessary and difficult. The error reflections from the artificial absorption boundary condition downgrade the accuracy of the forward solution and damage the inversion resolution. The GL method resolves the artificial boundary difficulty in FEM and FD methods. There is no artificial boundary and no absorption boundary condition for infinite domain in the GL method. FEM and FD methods are merely numerical methods, GL Methods compatibly combines analytical solutions and numerical methods.  We proposed a triangle integral equation of the Green’s functions and proved several theorems for the theoretical analysis of the GL method. The numerical discretization of the GL method is presented. We proved that the numerical solution of the GL method is convergent to the exact solution when the maximum diameter of the sub domain is going to zero. The error estimation of the GL method for solving the wave equation is presented.

we propose a radial GL field Method and GL EM anisotropic and isotropic invisible cloak class without exceeding light speed. The GL cloak material in this paper is extension from our paper ArXiv 1050.3999[2]. The radial dielectric and permeability of GL EM cloak in this paper are large than one. The refractive index of the GL cloak material, n(r), is large than one or equal to one. A unconventional GL radial EM modeling and inversion are proposed here. In the GL radial EM modeling, there is no large matrix to solve, artificial boundary is removed and absorption boundary condition is no needed. By searching in a distinctive pre media class of the rational function of (h), h = r - R1, the GL EM cloak modeling and inversion create a GL EM invisible cloak class without exceeding light speed. The GL EM cloaks can be practicable by using conventional optical materials. the properties of our GL EM cloak and their proofs are presented in this paper. The novel EM wave propagation and front branching in the GL cloak by GL EM modeling are presented in this paper. The EM wave front propagation in GL cloak is behind of the front in free space. At time steps 118dt, in the GL cloak, the wave front is curved as a crescent like and propagates slower than the light in free space. At the time step 120dt, the EM wave inside of the GL EM cloak propagates slower than light speed, moreover, its two crescent front peaks intersect at a front branching point. At the front branching point, the front is split to two fronts. The novel front branching and crescent like wave propagation are displayed in figures in this paper. A more exciting breakthrough progress is that we discovered a isotropic EM invisible cloak without exceeding light speed violation. The isotropic dielectric and permeability cloaking material are proposed in this paper. In 2001, we discovered a double layer cloak phenomena. There is no scattering from invisible cloak that is very difficulty for physical experiments, because the modern physical theory and experiments are based on scattering. We develop a Global and Local field method that overcome the massive size matrix solving cost and non accurate absorption condition etc. difficulties in FEM and FD method. The GL method can be a physical mathematical experiment tool for investigating the GL invisible cloak. All copyright and patent of the GL EM cloaks and GL modeling and inversion methods are reserved by authors in GL Geophysical Laboratory.

[1] Ganquan Xie, Jianhua Li, L.Xie, F. Xie, GL Method for Solving Equations in Math-Physics and

Engineering, Acta Mathematicae Applicatae Sinica, English Series, v. 24,n. 1, p391-404, DOI: 10.1007/s10255-007-7148-9

[2] G.anquan Xie, Jianhua Li, L.Xie, F. Xie, GLLH EM Invisible Cloak With Novel Front Branching And Without Exceed Light Speed Violation, arXiv:1005.3999,http://arXiv.org/abs/1005.3999.

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RESEARCH

Research Goal

The research goal of GL Geophysical Laboratory is to propose new method and software for solving front computational problem in Mathematical, Physical, Chemic, Biological, and Geophysical  Sciences and Engineering

 

Research Idea and Cue

Combine philosophic and scientific, finding and hiding, global analytical and local numerical, deterministic and stochastic, Macro and Micro,  ideas and cue to propose new Global and Local field  method and software.

PROJECTS

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Modeling and Applications

Inversion and Applications

PHC photonic crystal dispersive science and engineering

INVISIBLE CLOAK AND Acoustic Cloak AND Mechanical Cloak

Novel  GLLH EM Invisible Cloak Without Exceed Light Violation and With Refractive Index N > 1 May Be Practicable

We discovered a novel GLLH Electromagnetic (EM) invisible cloak with refractive index N > 1. The GLLH EM invisible cloak has a novel front branching and has finite speed and has no exceed light speed violation. The GLLH invisible cloak may be practicable by conventional optical materials.

Acoustic Cloak

Mechanical Cloak

GL and AGILD EM Stirring in Caster.

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METHODS

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Global and Local field - GL Modeling Method

 

From history to recent, the analytical and numerical method are developing separately.

We combine analytical and numerical methods consistently to propose new Global analytical

and local numerical GL field method [2],[3]

The novel GL method is powerful fast, accurate and parallel modeling method. the GL method is total different from FEM, FD, GILD and Born like methods. The GL method has advantages over them as follows:

  1. The GL method combines analytical and numerical approaches together;

  2. The GL method does not need any artificial boundary to truncate
        infinite domain;’

  3. There are  3x3 or 6x6 small matrices in GL Method;

  4. The GL method does not need to solve any large matrix equation;

  5. The GL method can be used to obtain the exact wave field;

  6. The GL method is available for all frequency and any large material contrast;

  7. The GL method is self parallelization;

  8. The GL method has super- convergence.

  9. GL method is very accurate and fast than FEM and FD method for wave propagation in the infinite domain.

Global and Local field - GL Inversion  Method [1]

GILD Modeling and Inversion

AGILD Modeling and Inversion

Finite Element Method  (FEM)

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There are glory history to develop FEM in China, In 1965, Professor Feng Kang (冯康) proposed difference scheme based on variational principle (ref 4 in [3])  that is equivalent the FEM method developed by W.R. Clough in University of California at Berkeley  in 1960 or early. In 1966, Professors Huang, Hongci (黄鸿慈), Wang, Jinxian (煑尽), Cui, Junzhi,(崔俊芝)  Zhao, Jingfang, () and Lin, Zongkai (林宗楷) developed two dimension variational difference scheme for elastic problem, ref 5 in[3]. Professor Cui (崔俊芝) published his paper variational method and FEM for two dimensional plane stress problem" in 1972 in "Mathematical Practice and knowledge", ref 2 in [3]. In this paper, Professor Cui published “Finite Element Method” name in academic journal first of China.  Ganquan Xie (謝幹權) and Jianhua Li (李建華) developed 3D isoparameter FEM method first of China, independently constructed a 3D 20 nodes curve element used a novel method in 1972, and discovered the super convergence of the isoparameter element in 1973, ref 15 in [3]. We calculated structure stress and displacement of 20 large hydro dams and many large mechanical and electromagnetic and heating engineering in  China. Xie and Li's  "3D Finite Element Methods on Elastic Problem" had been published in "Mathematical Practice and knowledge" (數學的實踐與認識) no. 1, 1975.  In the paper, O(h4) superconveregence had been proposed in page 33 and page 39. a novel method to construct 20 node isoparameter and excellent displacement and stress results had been proposed in this paper.

In the Chinese Scientific Congress in 1978, Ganquan Xie received Chinese Scientific Congress Prize on G.Q.Xie and J.H.Li's 3D FEM method developed in 1973  first of China. In 1978, Ganquan Xie and Jianhua Li received Hunan Scientific Congress Prize on Xie and Li's  3D FEM method developed in 1973  first of China.

 

Professor Michal Krizek mentioned Ganquan Xie's pioneer 3D FEM superconvergence work in page 47 of his paper,

Michal Krizek, Superconvergence phenomena on three dimensional meshes. International journal of numerical analysis and modeling, 2(1): 43{56 (2005).

Xie, G.Q. Three dimensional Finite element method for solving the elastic problem. Mathematical Practice and Knowledge, (1): 28~41 (1975) (chinese)

谢干权 三維弹性问题的有限元方法, 数学的实践与认识, 1975 年第一期, 28~41

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SOFTWARE

Global and Local field - GL Modeling Software

Global and Local field - GL Inversion Software

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APPLICATIONS

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CONFERENCES

PIERS - Progress In Electromagnetic Research Symposiums

GLGEO Professors and Colleague Professors Are Organizing 3 Sessions For

Program of The Program of The 30th PIERS 2011 In Suzhou of China

1. Electromagnetic Modeling, Inversion and Applications

Organized  by Ganquan Xie, Michael Oristaglio, and Jianhua Li,

 

2. Electromagnetic Science and Design on The Optical Dispersive Metamaterials, Invisible Cloak and Photonic Crystals

Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang Wu

 

3. Biomedical Electromagnetic Instruments, Electromagnetic Condensed Materials and Imaging

Organized by  Ganquan Xie, Jianhua Li,

 

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GLGEO Professors and Colleague Professors Are Organizing 3 Sessions For

Program of The 29th PIERS 2011 In Marrakesh of Morocco

1. Electromagnetic Modeling, Inversion and Applications

Organized  by Ganquan Xie, Michael Oristaglio, and Jianhua Li,

Chairman Fethi Bin Muhammad Belgacem, Yaun- Fong Chau, Xianwen Zhou,  (expected)

 

2. Electromagnetic Science and Design on The Optical Dispersive Metamaterials, Invisible Cloak and Photonic Crystals

Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang Wu,

chairman Chien-Jang Wu (Szu-Cheng Cheng), Chien-Chang Lin (expected)

 

3. Biomedical Electromagnetic Instruments, Electromagnetic Condensed Materials and Imaging

Organized by  Ganquan Xie, Jianhua Li, Herng-Er Horng

Chairman H. C. Yang, Liming Wang  (expected)

 

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GLGEO Professors and Colleague Professors Organized and Chaired 4 Sessions For

Program of The 28th PIERS 2010 In Cambridge of USA ,

search "Xie" in [Search Paper by Title or Author]

 

1A1 Electromagnetic Modeling, Inversion and Applications 1

Organized  by Ganquan Xie, Michael Oristaglio, and Jianhua Li,  Chaired by Ganquan Xie and Michael Oristaglio

 

1P1 Electromagnetic Modeling, Inversion and Applications 2

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua LiChaired by Michael Oristaglio

 

3A6b Electromagnetic Science and Design on The Optical Dispersive Metamaterials, Invisible Cloak and Photonic Crystals

Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang Wu, Chaired by Lauren Rast

 

3P5  Biomedical Electromagnetic Instruments, Electromagnetic Condensed Materials and Imaging

Organized by  Ganquan Xie, Chaired by Ganquan Xie and Heung-Gyoon Ryu

GLGEO Professors and Colleague Professors Organized and Chaired 5 Sessions For

Program of The 27th PIERS 2010 In Xian of China ,

search “Xie” in [Search Paper by Title or Author:]

 

1A2b Electromagnetic Modeling, Inversion, and Applications 1

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua Li, Chaired by Ganquan Xie and Tzon-Tzer Lu

 

1P2   Electromagnetic Modeling, Inversion, and Applications 2

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua Li, Chaired by Ganquan Xie and Chow-Son Chen

 

2A2a Electromagnetic Seismic Fluid Geophysical and Geological Exploration   

Organized by Ganquan Xie, Clement Kostov, and Jianhua Li, Chaired by Ganquan Xie and Jianshu Luo

 

 2A2b  Biomedical Electromagnetic Instruments and Electromagnetic Condense Materials and Imaging   

Organized by Ganquan Xie,Chaired by Ganquan Xie and Jianshu Luo

 

 2P2 Electromagnetic Wave in the Materials and Dispersion Simulation for Cloak Metamaterials and Photonic Crystals   

Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang Wu, Chaired by Chien-Jang Wu and Fan-Yi Lin

 

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GLGEO Professors and Colleague Professors Organized and Chaired 6 Sessions For

Program of The 26th PIERS 2009 In Moscow of Russia ,

search “Xie” in [Search Paper by Title or Author:]

 

2P4 Electromagnetic Field in the Metamaterials and Dispersion Design of Cloak and Photonic Crystals 1

Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang Wu, Chaired by Wen-Chuan Kuo and Yuan-Fong Chau

 

3A4 Electromagnetic Field in the Metamaterials and Dispersion Design of Cloak and Photonic Crystals 2

Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang Wu, Chaired by Tzong-Jer Yang and Chien-Jang Wu

 

3P10 Electromagnetic Field Modeling, Inversion and Applications 1

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua Li, Chaired by Ganquan Xie and Tzon-Tzer Lu

 

3P4 Biomedical Electromagnetism Instruments, Electromagnetism Condensed Materials and Imaging 1

Organized by Ganquan Xie, Jianhua Li, and Jauyn Grace Lin, Chaired by Jianhua Li and V. G. Veselago

 

4A10 Electromagnetic Field Modeling, Inversion and Applications 2

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua Li, Chaired by Jianhua Li

 

4A4 Biomedical Electromagnetism Instruments, Electromagnetism Condensed Materials and Imaging 2

Organized by Ganquan Xie, Jianhua Li, and Jauyn Grace Lin, Chaired by Jianhua Li and Fethi BMuhammad Belgacem

 

GLGEO Professors and Colleague Professors Organized and Chaired 4 Sessions For

 

Program of The 25th PIERS 2009 In Beijing of China ,

search Xie in [Search Paper by Title or Author]

 

1P7 Electromagnetic Field in Materials and EM Field Dispersion in Cloaks and Photonic Crystals

Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang Wu, Chaired by Herng-Er Horng and Chien-Jang Wu

 

2A7 Electromagnetic Field Modeling and Inversion and Applications 1

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua Li, Chaired by Jianhua Li and Xueben Wang

 

2P6 Elecromagnetic Field in Bio Magnetism Materials and Instrument and Dispersion in Cloaks and Metamaterials

Organized by Ganquan Xie, Jianhua Li, and Xianwei Zhou, Chaired by Hong-Chang Yang and Xianwei Zhou

-

 2P7 Electromagnetic Field Modeling and Inversion and Applications 2

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua Li  Chaired by Michael Oristaglio and Tong Kang

 

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GLGEO Professors and Colleague Professors Organized and Chaired 3 Sessions For

 

Program of The 24th PIERS 2008 In Cambridge of USA ,

search Xie in [Search Paper by Title or Author]

 

2A4 Electromagnetic Modeling, Inversion and Applications 1

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua Li, Chaired by Jianhua Li

 

 2P4 Electromagnetic Field in Optical Materials and EM Field Dispersion in Photonic Crystals

 Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang WuChaired by Tzong-Jer Yang and Tong Kang

 

3A4 Electromagnetic Modeling, Inversion and Applications 2

Organized by Ganquan Xie, Michael Oristaglio, and Jianhua Li, Chaired by Jianhua Li

 

GLGEO Professors and Colleague Professors Organized and Chaired 3 Sessions For

Program of The 23rd PIERS 2008 In Hangzhou of China ,

search Xie in [Search Paper by Title or Author]

 

1P8  Electromagnetic Modeling, Inversion and Application 1

Organized by Ganquan Xie and Michael Oristaglio, Chaired by Jianhua Li and Chow-Son Chen

 

2A8 Electromagnetic Modeling, Inversion and Application 2

Organized by Ganquan Xie and Michael Oristaglio, Chaired by Chien-Chang Lin and Tong Kang

 

2P4 Electromagnetic Field in Optical Materials and Dispersion Engineering of Photonic Crystals

Organized by Ganquan Xie, Tzong-Jer Yang, and Chien-Jang Wu, Chaired by Tzong-Jer Yang and Chien-Jang Wu

 

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GLGEO Professors and Colleague Professors Organized and Chaired 1 Sessions For

 

Program of The 22nd PIERS 2007 In Prague of Czech ,

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 3A4 Electromagnetic Modeling and Inversion and Applications   

Organized by Ganquan Xie and Michael Oristaglio, Chaired by Chien-Jang Wu and Jianhua Li

 

 

GLGEO Professors and Colleague Professors Organized and Chaired 3 Sessions For

 

Program of The 21st PIERS 2007 In Beijing of China ,

search Xie in [Search Paper by Title or Author]

 

1P5 Inverse Problem in the Mechanics, Materials and Electromagnetics

Organized by Ganquan Xie and Jianhua Li, Chaired by Ganquan Xie, Jianhua Li, and Hai-Tao Cai

 2P5 Electromagnetic Modeling and Inversion and Applications
Organized by
Ganquan Xie and Chien-Jang Wu, Chaired by Ganquan Xie and Chien-Jang Wu

4A5 Electromagnetic and Seismic and Flow Field Imaging in the Geophysical and Enviroment Sciences and Engineering
Organized by
Ganquan Xie and Michael Oristaglio, Chaired by Ganquan Xie, Michael Oristaglio, and Youzhong Guo

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GLGEO Professors and Colleague Professors Organized and Chaired 1 Sessions For

 

Program of The 20th PIERS 2006 In Tokyo of Japan ,

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4P2 Electromagnetic Modeling and Inversion and Applications

Organized by Ganquan Xie and Michael Oristaglio, Chaired by Ganquan Xie, Jianhua Li, and C. J. Wu

GLGEO Professors and Colleague Professors Organized and Chaired 3 Sessions For

Program of The 18th PIERS 2006 In Cambridge of USA ,

search Xie in [Search Paper by Title or Author]:

 

2P5 Electromagnetic Modeling and Inversion and Applications 1

Organized by Ganquan Xie and Michael Oristaglio, Chaired by Ganquan Xie, Michael Oristaglio, and Jianhua Li

 

3A5 Electromagnetic Modeling and Inversion and Applications 2

Organized by Ganquan Xie and Michael Oristaglio, Chaired by Ganquan Xie, Michael Oristaglio, and Jianhua Li

 

3P5 Electromagnetic Modeling and Inversion and Applications 3

Organized by Ganquan Xie and Michael Oristaglio, Chaired by Ganquan Xie, Michael Oristaglio, and Jianhua Li

 

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GLGEO Professors and Colleague Professors Organized and Chaired 3 Sessions For

 

Program of The 19th PIERS 2005 In Hangzhou of CHINA ,

search [Xie in Search Paper by Title or Author]

 

2A6 Electromagnetic Modeling and Inversion (Faraday)

Organized by Ganquan Xie, Yanzhong Luo, Chaired by Ganquan Xie, Yanzhong Luo, Michael Oristaglio

 

2P6 Electromagnetic Modeling and Inversion (Maxwell)

Organized by Ganquan Xie, Yanzhong Luo ,Chaired by Ganquan Xie

 

3A6 Electromagnetic Modeling and Inversion (Einstein)

Organized by Ganquan Xie, Yanzhong Luo, Chaired by Michael Oristaglio, Ganquan Xie,Yanzhong Luo

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MEMBERS

President of GL Geophysical Laboratory

Senior Scientist and Engineering, Lee Xie

GLLEE@GLGEO.COM

 

Vice President of GL Geophysical Laboratory

Senior Professor and Scientist, Jianhua Li

 

Administrator of GL Geophysical Laboratory

Steve Lee

mailto:SLEE@GLGEO.COM?subject=Please send email to SLEE@GLGEO.COM

 

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PUBLICATIONS

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GL - GLOBAL AND LOCAL EM  FIELD MODELING AND INVERSION

[1] Ganquan Xie,  Jianhua Li, Lee Xie, and Feng Xie, A GL Metro Carlo EM Inversion,

Journal of Electromagnetic Waves and Applications, Volume 20, Number 14, 2006 , pp. 1991-2000.

 

[2] Ganquan Xie,  Feng Xie, Lee Xie, Jianhua Li, NEW GL METHOD AND ITS ADVANTAGES FOR RESOLVING HISTORICAL DIFFICULTIES, Progress In Electromagnetics Research, Vol. 63, 141-152, 2006.
 

[3] Ganquan Xie, Jianhua Li, Lee Xie and Feng Xie, GL method for solving equations in math-physics and engineering, Acta Mathematicae Applicatae Sinica (English Series) ,Volume 24, Number 3, 391-404, DOI: 10.1007/s10255-007-7148-9

 

[4] Jianhua Li, Ganquan Xie, and Lee Xie, A New GL Method for Solving Differential Equation in Electromagnetic and Phys-Chemical and Financial Mathematics, PIERS Proceedings, 357 - 365, August 27-30, Prague, Czech Republic, 2007, [Full Text: PDF (293 KB)], PIERS Online Vol. 3 No. 8 2007 pp: 1151-1159  Downloads: 2733

[5] Ganquan Xie, Jianhua Li, and Feng Xie, GL Acoustic Mechanical and EM Uniform Coupled Modeling and Inversion, PIERS Proceedings, 52 - 59, July 2-6, Cambridge, USA, 2008.

[6] Ganquan Xie, Jianhua Li, Lee Xie, and Feng Xie, GL EM Mechanical and Acoustic Field Time Domain Modeling for Materials and Exploration with Dispersion, PIERS Proceedings, 355 - 365, March 24-28, Hangzhou, China, 2008.

[7] Jianhua Li, Ganquan Xie, Lee Xie, and Feng Xie, A 3D GL EM Modeling and Inversion for Forest Exploration and Felling, PIERS Proceedings, 414 - 422, March 26-30, Beijing, China, 2007, [Full Text: PDF (395 KB)] ,

PIERS Online Vol. 3 No. 4 2007 pp: 402-410, Downloads: 1011.

 

[8] Ganquan Xie, Jianhua Li, Lee Xie, Feng Xie, and J. Li The 3D GL EM-Flow-Heat-Stress Coupled Modeling,

PIERS Proceedings, 1002 - 1008, March 26-30, Beijing, China, 2007, [Full Text: PDF (622 KB)

PIERS Online Vol. 3 No. 4 2007 pp: 411-417, Downloads: 942

 

[9] Ganquan Xie, Jianhua Li, Feng Xie, and Lee Xie, 3D GL EM and Quantum Mechanical Coupled Modeling for the Nanometer Materials, PIERS Proceedings, 1023 - 1027, March 26-30, Beijing, China, 2007,

 PIERS Online Vol. 3 No. 4 2007 pp: 418-422, Downloads: 1112.

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GL - GLOBAL AND LOCAL ACOUSTIC  FIELD  INVERSION

[10] Jianhua Li, Ganquan Xie, Lee Xie, and Feng Xie, GL Time Domain Modeling for EM Acoustic and Elastic Wave Field with Dispersion in Crystal and Porous Material, PIERS Proceedings, 676 - 684, March 24-28, Hangzhou, China, 2008.

[11] Ganquan Xie, A new iterative method for solving the coefficient inverse problem of wave equation, Communication on pure and applied math., vol. 39, 307-322, 1986. Math. Review 87g:65108

[12] Ganquan Xie and J. Li, Nonlinear integral equation of coefficient inversion of acoustic wave equation and  iteration: Science In China, vol. 32, no.5, 1989.

[12] Ganquan Xie and J. Li, Nonlinear integral equation of coefficient inversion of acoustic wave equation and TCCR iteration: Science In China, vol. 31, no.12, 1989.

[13] Ganquan Xie and J. Li, New iterative method for solving inverse scattering problem of 3-D wave equation: Science In China (series A) vol. 31, no.10, 1988. Zbl Math.35079.  .

[14]  Ganquan Xie, J. Li, and Y. M. Chen, Gauss-Newton-Regularizing method for solving coefficient inverse problem of PDE. J. Comput. Math. vol. 5, no 1. 38-49, 1987. Math. Review . 88m:65142,

[15] Ganquan Xie and Qisu Zou, A parallel numerical method for solving 3-D scattering problem: Computer physics communications. vol. 65. p. 320-326, 1991.  

[16] A. Ram and Ganquan Xie, Uniqueness result for inverse problem of geophysics  Appl. Math. Letter, vol. 3, no. 3, 1990.

[17]  Qisu Zou and Ganquan Xie, A parallel computational algorithm for an inverse problem of low frequency: Computer physics communications. vol. 65. p. 327-332, 1991.

[18]  Gan-quan Xie, Jian-hua Li, Lung-ji Tang and Ying-ning Sun, A Characteristic Iteration For Solving Coefficient Inverse Problems Of A Wave Equation.J. Comp. Math., 6 (1988), pp. 272-281.

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GILD - GLOBAL INTEGRAL AND LOCAL DIFFERENTIAL FIELD MODELING AND MATERIAL INVERSION

[19] Ganquan Xie, Jianhua Li, Ernest Majer, Daxin Zuo, and Michael Oristaglio, 2000, 3-D electromagnetic modeling and nonlinear inversion: Geophysics, 65, no.3, 804-822, 2000, doi:10.1190/1.1444779

[20] Ganquan Xie and Jianhua Li,  New parallel SGILD modeling and inversion. Physica D: Nonlinear Phenomena, Volume 133, Issues 1-4, 10 September 1999, Pages 477-487 doi:10.1016/S0167-2789(99)00080-9

[21] Jianhua Li, Ganquan Xie, Michael Oristaglio, Lee Xie, and Feng Xie, A 3D-2D AGILD EM Modeling and Inversion Imaging, PIERS Proceedings, 1636 - 1642, March 26-30, Beijing, China, 2007,  Downloads: 1075

[22] Gan-quan Xie and Jian-hua Li, Nonlinear Integral Equation Of Inverse Scattering Problems Of Wave Equation And Interation. J. Comp. Math., 8 (1990), pp. 289-297

[23]  Xie, G., J. Li, and F. Xie, "Advanced GILD EM modeling and inversion," PIERS Online, Vol. 1, No. 1, 105-109, 2005. doi:10.2529/PIERS041206094200

[24] Ganquan Xie, Feng Xie, and Jianhua Li, New GL and GILD Superconductor Electromagnetic Modeling, PIERS Online, Vol. 1, No. 2, 173-177, 2005, doi:10.2529/PIERS041211232022

[25] Ganquan Xie, Jianhua Li, and Feng Xie, 2.5D AGILD Electromagnetic Modeling and Inversion, PIERS Online, Vol. 2, No. 4, 390-394, 2006, doi:10.2529/PIERS051002183125

[26] Ganquan Xie and Jianhua Li, 1999, New parallel GILD-SOR modeling and inversion for E-O-A strategic simulation: IMACS series book in computational and applied math. V. 5. P.123-138.

 

[27] Ganquan Xie and Jianhua Li, 1998 New 3D parallel GILD modeling and nonlinear inversion, IMACS series

book in computational and applied math. V. 4, p. 135-140. 

 

[28] S. W. Wang, J. Liu, and Ganquan. Xie, 2-D acoustic wave equation inversion  combing plane wave seismograms with well logs: Geophysics, vol. 61, 735-741 1997. 

[29]  Xie Gan-quan, Tang Long-ji and Hong Yue-shan, A numerical method of TCR iteration for solving the inverse problem of wave equation, Acta Mathematica Scientia, 10 : 2 (1990)

[30] Chien-Chang Lin, Ganquan Xie, and Jianhua Li, Nondestructive Testing in Mechanical Engineering by Wave Inversion,  PIERS Online Vol. 3 No. 6 2007 pp: 795-800

[31] Jianhua Li, Ganquan Xie, and Feng Xie, New Stochastic AGLID EM Modeling and Inversion,
PIERS Online Vol. 2 No. 5 2006 pp: 490-494.

 

[32] Jianhua Li, Ganquan Xie, and Jing Li, 3D and 2.5D AGLID EMS Stirring Modeling in the
Cylindrical Coordinate System, PIERS Online Vol. 2 No. 5 2006 pp: 505-509.

 

[33] Ganquan Xie, Jianhua Li, and Feng Xie, 2.5D AGILD Electromagnetic Modeling and Inversion,
PIERS Online Vol. 2 No. 4 2006 pp: 390-394.

 

[34] Ganquan Xie, Jing Li, and Jianhua Li, New AGILD EMS Electromagnetic Field Modeling,
PIERS Online Vol. 1 No. 2 2005 pp: 168-172.

 

[35] Ganquan Xie, Feng Xie, and Jianhua Li, New GL and GILD Superconductor Electromagnetic
Modeling, PIERS Online Vol. 1 No. 2 2005 pp: 173-177

 

[36] Ganquan Xie, Jianhua Li, and Feng Xie, Advanced GILD EM Modeling And Inversion,
PIERS Online Vol. 1 No. 1 2005 pp: 105-109.

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Finite Element Methd

谢干权; 凸泛函取极小的有限元分析[J]; 应用数学学报 1980年01期, 【DOI】:CNKI:SUN:YYSU.0.1980-01-005, 25 cited

Chine-Chang Lin, Jianhua Li, Ganquan Xie, and Michael Oristaglio, Improved Isoparameter FEM for Plastic and EM Modeling, PIERS Online Vol. 4 No. 2 2008 pp: 231-237.

 

CLOAKS

 

Ganquan Xie, Jianhua Li, Lee Xie, Feng Xie, GLLH EM Invisible Cloak With Novel Front Branching And Without Exceed Light Speed Violation,  arXiv:1005.3999v1 [physics.optics], May, 2010

 

Ganquan Xie, Jianhua Li, Lee Xie, Feng Xie, A GL Double Layer EM Cloaks In Broad Frequency Band And Reciprocal Law, arXiv:1002.4249v1 [physics.optics], October, 2009.

 

Ganquan Xie, Jianhua Li, Feng Xie, Lee Xie, A Double Layer Electromagnetic Cloak And GL EM Modeling,

arXiv:0907.0858v1 [physics.optics], July, 2009.

 

Ganquan Xie, Jianhua Li, Feng Xie, Lee Xie, No Maxwell Electromagnetic Wave Field Excited In Cloaked Concealment, arXiv:0904.3040v1 [physics.optics], April, 2009

 

Ganquan Xie, Jianhua Li, Lee Xie, and Feng Xie, Novel GLLH EM Cloak with Front Branching and without Exceed Light Speed Violation, PIERS Proceedings, 260 - 265, July 5-8, Cambridge USA, 2010

 

Ganquan Xie, Jianhua Li, Feng Xie, and Lee Xie, A Novel GL Double Layer Electromagnetic Cloaks in Broad Frequency Band and Reciprocal Law, PIERS Proceedings, 623 - 630, March 22-26, Xian China, 2010

 

Jianhua Li, Ganquan Xie, Lee Xie, and Feng Xie, No Maxwell Electromagnetic Wavefield Excited inside Cloaked Concealment and Broadband GL Cloaks, PIERS Proceedings, 66 - 72, August 18-21, Moscow RUSSIA, 2009

 

Ganquan Xie, Jianhua Li, Feng Xie, and Lee Xie, Global and Local Field EM Modeling and Novel GL Double Layered Electromagnetic Cloaks, PIERS Proceedings, 335 - 343, August 18-21, Moscow RUSSIA, 2009

 

Ganquan Xie, Jianhua Li, Feng Xie, and Lee Xie, Global and Local Field EM Modeling for PHC Dispersion and Metamaterial Cloak Design, PIERS Proceedings, 176 - 184, March 23-27, Beijing CHINA, 2009

 

Ganquan Xie, Jianhua Li, Feng Xie, and Lee Xie, 3D GL EM and Quantum Mechanical Coupled Modeling for the Nanometer Materials, PIERS Online Vol. 3 No. 4 2007 pp: 418-422

 

 

Mirage

 

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GEOPHYSICS

 

Jianhua Li, Ganquan Xie, Lee Xie, Chien-Chang Lin, and Michael Oristaglio, Use GL TM Model Inversion to Detect the Dielectric Parameter, PIERS Proceedings, 475 - 478, March 23-27, Beijing CHINA, 2009.

 

Ganquan Xie, Jianhua Li, Lee Xie, and Feng Xie, GL TM Dielectric Parameter Inversion, PIERS Proceedings, 747 - 752, March 23-27, Beijing CHINA, 2009.

 

Jing Ba, Huizhu Yang, and Ganquan Xie, AGILD Seismic Modeling For Double-porosity Media, PIERS Proceedings, 491 - 497, March 24-28, Hangzhou, China, 2008

 

Jianhua Li, Ganquan Xie, Michael Oristaglio, Lee Xie, and Feng Xie, A 3D-2D AGILD EM Modeling and Inversion Imaging, PIERS Online Vol. 3 No. 4 2007 pp: 423-429

 

Ganquan Xie and Jianhua Li, 1999,  A new algorithm for 3-D nonlinear electromagnetic inversion.

3-D Electromagnetic Methods, SEG book, P. 193-207. Editor: Oristaglio and Spies.

 

Jianhua Li and Ganquan Xie, 1995, A 3D cubic-hole element and its application in resistivity imaging. 3-D

Electromagnetic Methods, Proceedings of the International Symposium on Three-dimensional electromagnetics in

Schlumberger-Doll Research, 1995, P. 415-419. SEG book, P. 591-599. 1999, Editor, Oristaglio and Spies..

 

 Ganquan Xie and Y. M. Chen, A modified pulse spectrum technique for solving inverse problem of two-dimensional

 elastic wave equation. Appl. Numer. Math. vol. 1, no 3. p. 217-237, 1985. Math. Review . 86e:73023.,  .

 

Ganquan Xie and Jianhua Li, 1999,  A new algorithm for 3-D nonlinear electromagnetic inversion. 3-D Electromagnetic Methods, SEG book, P. 193-207. Editor: Oristaglio and Spies.

 

Jianhua Li and Ganquan Xie, 1995, A 3D cubic-hole element and its application in

resistivity imaging. 3-D Electromagnetic Methods, Proceedings of the International

Symposium on Three-dimensional electromagnetics in Schlumberger-Doll Research,

1995, P. 415-419. SEG book, P. 591-599. 1999, Editor, Oristaglio and Spies..

Ki Ha Lee and Ganquan Xie, A new approach to imaging with low-frequency
electromagnetic fields: Geophysics, vol. 58, no. 6, 780-796, 1993

Ganquan Xie and Y. M. Chen, A modified pulse spectrum technique for solving inverse

problem of two-dimensional  elastic wave equation. Appl. Numer. Math. vol. 1, no 3. p.

217-237, 1985. Math. Review . 86e:73023.,  .

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MATERIALS

Jianhua Li, Feng Xie, Ganquan Xie, Chien-Chang Lin, and Michael Oristaglio, 3D AGILD Mechanical Modeling for Simulations of New Materials, PIERS Proceedings, 958 - 961, August 18-21, Moscow RUSSIA, 2009

Ganquan Xie, Feng Xie, and Jianhua Li, New GL and GILD Superconductor Electromagnetic Modeling,

PIERS Online Vol. 1 No. 2 2005 pp: 173-177.

 

Y. M. Chen and Ganquan Xie, A numerical method for simultaneous determination of bulk modulus, shear modulus and density variations for nondestructive evaluation: Nondestructive Testing Communication, vol. 1, p. 125-135, 1984.

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EARTHQUAKE

Chow-Son Chen, Ganquan Xie, and Jianhua Li, Time-domain Electromagnetic Surveying: 3D Modeling and Interpretation, Progress In Electromagnetics Research Symposium Abstracts, 75,  Xi'an, China, March 22-26, 2010

 

Ganquan Xie, Jianhua Li, and Chow-Son Chen, New Global and Local Magnetotelluric Field Modeling,

Progress In Electromagnetics Research Symposium Abstracts, 158,  Xi'an, China, March 22-26, 2010

Ganquan Xie, Jianhua Li, Feng Xie, and Tong Kang, A GLEMFCS Coupled Modeling and Inversion for Icing Disaster on High Voltage Lines, PIERS Proceedings, 347 - 352, July 2-6, Cambridge, USA, 2008

Ganquan Xie, Jianhua Li, Michael Oristaglio, and Xianwei Zhou, A GL EMFHS Coupled Modeling for Wenchuan Earthquake, PIERS Proceedings, 369 - 373, July 2-6, Cambridge, USA, 2008

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BIOMEDICAL INSTRUMENTS AND STIRRINGS

Jianhua Li, Ganquan Xie, Lee Xie, and Feng Xie, 3D GL EMFH Modeling and Inversion for Leakless Auto EMS in Steel Metal Casting and Biomedical EM Instruments Desig, PIERS Proceedings, 268 - 273, March 22-26, Xian CHINA, 2010

Ganquan Xie, Jing Li, and Jianhua Li, New AGILD EMS Electromagnetic Field Modeling, PIERS Online, Vol. 1, No. 2, 168-172, 2005, doi:10.2529/PIERS050311075609

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NAVIGATION

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