Simultaneous recovery of Robin boundary and coefficient for the Laplace equation by shape derivative

被引：2

作者：

Fang, Weifu ^{[1
]}

机构：

[1] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 413卷

关键词：

Robin inverse problem; Corrosion detection; Shape derivative; Conjugate gradient; Boundary integral equation; CORROSION DETECTION; VARIATIONAL APPROACH; INTEGRAL-EQUATIONS; INVERSE; IMPEDANCE; STABILITY;

D O I：

10.1016/j.cam.2022.114376

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the simultaneous recovery of the boundary and coefficient of the Robin boundary condition for the Laplace equation from a pair of solution measurements on another part of the boundary. We derive the variational derivatives of the datafitting objective functional with respect to the Robin boundary and coefficient, which are then used to device a nonlinear conjugate gradient iterative scheme for the numerical recovery of both the Robin boundary and coefficient together. Numerical examples are presented to illustrate the effectiveness of the recovery algorithms. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：13

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