Numerical recovery of Robin boundary from boundary measurements for the Laplace equation

Based on an integral equation formulation, we present numerical methods for the inverse problem of recovering part of the domain boundary from boundary measurements of solutions to the Laplace equation on an accessible part of the boundary.

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Bibliographic Details
Published in:Journal of computational and applied mathematics Vol. 224; no. 2; pp. 573 - 580
Main Authors: Fang, Weifu, Zeng, Suxing
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 15.02.2009
Elsevier
Subjects:
Boundary integral equation
Corrosion detection
Exact sciences and technology
Integral equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Robin inverse problem
Sciences and techniques of general use
65R32
45A05
Boundary integral equation
Robin inverse problem
35J05
Corrosion detection
65N21
Laplace equation
Numerical method
Robin problem
Inverse problem
Numerical analysis
Applied mathematics
Integral equation
ISSN:0377-0427, 1879-1778
Online Access:Get full text
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Description
Summary:Based on an integral equation formulation, we present numerical methods for the inverse problem of recovering part of the domain boundary from boundary measurements of solutions to the Laplace equation on an accessible part of the boundary.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2008.05.048