Determination of a part of boundary for the Cauchy problem for the Laplace equation

DOI10.1080/17415971003658015zbMath1195.65124OpenAlexW2029651429MaRDI QIDQ3585356

Ji-Chuan Liu, Ting Wei

Publication date: 19 August 2010

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

Full work available at URL: https://doi.org/10.1080/17415971003658015

zbMATH Keywords

stabilityinverse problemregularizationCauchy problemnumerical examplesLaplace equationill-posed problemboundary identificationquasi-reversibility methodthe method of lines

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Appropriate implementation of an invariant MFS for inverse boundary determination problem ⋮ Reconstruction of dynamically changing boundary of multilayer heat conduction composite walls

Cites Work

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