BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method

L. Marin; L. Elliott; P.J. Heggs; D.B. Ingham; D. Lesnic; X. Wen

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BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method

机译：用Landweber方法求解与Helmholtz型方程相关的Cauchy问题的BEM解

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摘要

In this paper, an iterative algorithm based on the Landweber method in combination with the Boundary Element Method (BEM) is developed for solving the Cauchy problem for Helmholtz-type equations. A stopping regularizing criterion based on the residual of the BEM discretisation system of equations is also proposed.

机译：为了解决Helmholtz型方程的柯西问题，本文提出了一种基于Landweber方法和边界元方法（BEM）的迭代算法。还提出了基于方程的BEM离散化系统残差的停止正则化准则。

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来源
《Engineering analysis with boundary elements》 |2004年第9期|p.1025-1034|共10页
作者
L. Marin; L. Elliott; P.J. Heggs; D.B. Ingham; D. Lesnic; X. Wen;
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作者单位

School of the Environment, University of Leeds, Leeds LS2 9JT, UK;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类工程数学;
关键词
boundary element method; cauchy problem; helmholtz-type equations; inverse problem;

机译：边界元法;柯西问题;亥姆霍兹型方程;反问题;

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专利

1. Dual reciprocity boundary element method solution of the Cauchy problem for Helmholtz-type equations with variable coefficients [J] . Marin L, Elliott L, Heggs PJ, Journal of Sound and Vibration . 2006,第1a2期

机译：变系数亥姆霍兹型方程柯西问题的对等互易边界元方法解
2. A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations [J] . Marin L Applied mathematics and computation . 2005,第2期

机译：与三维Helmholtz型方程有关的柯西问题数值解的无网格方法
3. The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations [J] . Liviu Marin, Daniel Lesnic Computers & Structures . 2005,第4a5期

机译：二维Helmholtz型方程相关的Cauchy问题的基本解法
4. Solving Cauchy problems of elliptic equations by the method of fundamental solutions [C] . Y. C. Hon, T. Wei, Wessex Institute of Technology(GB), World Conference on Boundary Elements and Other Mesh Reduction Methods;International Seminar on Computational Methods in Electrical Engineering and Electromagnetics . 2005

机译：基本解决方案方法解决椭圆方程的Cauchy问题
5. Existence and singularity of solutions for Cauchy problems of some partial differential equations. [D] . Song, Kyungwoo. 2002

机译：一类偏微分方程柯西问题解的存在性和奇异性。
6. New Integral Representations for Solutions of Cauchys Problem for Abstract Parabolic Equations [O] . J. A. Donaldson 1971

机译：抽象抛物方程的柯西问题解的新积分表示
7. The method of fundamental solutions for Helmholtz-type equations in composite materials [O] . Bin-Mohsin B., Lesnic D. 2011

机译：复合材料中亥姆霍兹型方程的基本解法
8. THE SOLUTION OF THE CHARACTERISTIC AND THE CAUCHY BOUNDARY VALUE PROBLEMS FOR THE BIANCHI PARTIAL DIFFERENTIAL EQUATION IN n INDEPENDENT VARIABLES BY A GENERALIZATION OF RIEMANN'S METHOD [R] . H. M. Sternberg, j. B. Diaz 1960

机译：用RIENaNN方法推广求解n个独立变量的Bianchi偏微分方程的特征和Cauchy边值问题

BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method

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