An alternating boundary integral based method for a Cauchy problem for the Laplace equation in a quadrant

DOI10.1080/17415970902899464zbMath1177.65141OpenAlexW2170903624MaRDI QIDQ3645182

B. Tomas Johansson, R. S. Chapko

Publication date: 16 November 2009

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

Full work available at URL: https://doi.org/10.1080/17415970902899464

zbMATH Keywords

Cauchy problemnumerical examplesGreen's functionsunbounded domainLaplace equationalternating iterative methodtrigonometric- and sinc-quadrature rules

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

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A data completion algorithm using an integral representation of the Steklov-Poincaré operator

Cites Work

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• High-order boundary conditions and finite elements for infinite domains
• An alternating method for an inverse Cauchy problem
• A MANN ITERATIVE REGULARIZATION METHOD FOR ELLIPTIC CAUCHY PROBLEMS
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• An alternating method for the stationary Stokes system

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