A fast collocation method for an inverse boundary value problem
A fast collocation method for an inverse boundary value problem
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DOI：
10.1002/nme.928
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发表时间：
2004-03
影响因子：
2.9
通讯作者：
W. Fang;Ming Lu
中科院分区：
文献类型：
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作者：
W. Fang;Ming Lu
本文给出了求解第二类边界积分方程的快速多尺度配置法的一种实现方法，并将其应用于求解由边界测量恢复系数函数的边值反问题。我们通过数值例子说明了从系数到测量的映射的不敏感性，并设计和测试了高斯-牛顿迭代算法，用于基于最小二乘公式从给定的测量中获得未知系数的最佳估计。版权所有© 2004年约翰威利父子有限公司。
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 from the given measurement based on a least‐squares formulation. Copyright © 2004 John Wiley & Sons, Ltd.