A fast collocation method for an inverse boundary value problem

被引：40
作者：
Fang, WF [1 ]
Lu, MY [1 ]
机构：
[1] W Virginia Univ, Dept Math, Morgantown, WV 26506 USA
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2004年 / 59卷 / 12期
关键词：
collocation method; multiscale method; inverse boundary value problem; semiconductor contact resistance;
D O I：
10.1002/nme.928
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we present an implementation of a fast multiscale collocation method for boundary integral equations of the second kind, and its application to solving an inverse boundary value problem of recovering a coefficient function from a boundary measurement. We illustrate by numerical examples the insensitive nature of the map from the coefficient to measurement, and design and test a Gauss-Newton iteration algorithm for obtaining the best estimate of the unknown coefficient front the given measurement based on a least-squares formulation. Copyright (C) 2004 John Wiley Sons, Ltd.
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收藏
页码：1563 / 1585
页数：23
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