A first order method for the Cauchy problem for the Laplace equation using BEM

DOI10.1007/s00466-007-0157-yzbMath1148.65071OpenAlexW2018542613MaRDI QIDQ937256

Franck Delvare, Alain Cimetiere

Publication date: 20 August 2008

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-007-0157-y

zbMATH Keywords

inverse problemregularizationCauchy problemnumerical examplesboundary element methodboundary values

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) 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 inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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A one-stage meshless method for nonhomogeneous Cauchy problems of elliptic partial differential equations with variable coefficients ⋮ A finite element model for the data completion problem: analysis and assessment ⋮ Unique discrete harmonic continuation and data completion problems using the fading regularization method ⋮ Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems ⋮ An iterative method for the Cauchy problem in linear elasticity with fading regularization effect ⋮ Reconstruction of dynamically changing boundary of multilayer heat conduction composite walls

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