An alternating boundary integral based method for a Cauchy problem for the Laplace equation in semi-infinite regions

DOI10.3934/ipi.2008.2.317zbMath1180.35545OpenAlexW1994254061MaRDI QIDQ953795

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.3934/ipi.2008.2.317

zbMATH Keywords

Cauchy problem Green's functions Laplace equation quadrature method integral equation of the first kind alternating method semi-infinite region trigonometric- and sinc- quadrature rules

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Indirect boundary integral equation method for the Cauchy problem of the Laplace equation ⋮ Boundary-integral approach to the numerical solution of the Cauchy problem for the Laplace equation ⋮ A boundary integral equation method for numerical solution of parabolic and hyperbolic Cauchy problems ⋮ Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell's equations ⋮ On the Alternating Method for Cauchy Problems and Its Finite Element Discretisation ⋮ Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane

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