Numerical solution of a Cauchy problem for Laplace equation in 3-dimensional domains by integral equations

DOI10.1080/17415977.2015.1130042zbMath1348.65130OpenAlexW2338703754MaRDI QIDQ2831870

B. Tomas Johansson, Ihor Borachok, R. S. Chapko

Publication date: 3 November 2016

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2015.1130042

zbMATH Keywords

Cauchy problemLaplace equationTikhonov regularizationintegral equation of the first kinddiscrete projection methodsingle- and double-layer potentialsdouble connected 3D domain

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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A method of fundamental solutions for heat and wave propagation from lateral Cauchy data

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