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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Vydané v:Journal of computational and applied mathematics Ročník 224; číslo 2; s. 573 - 580
Hlavní autori: Fang, Weifu, Zeng, Suxing
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Kidlington Elsevier B.V 15.02.2009
Elsevier
Predmet:
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
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Popis
Shrnutí: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