Adaptive error estimation of the Trefftz method for solving the Cauchy problem

DOI10.2495/BE070051zbMath1121.65369OpenAlexW2055558030MaRDI QIDQ5757013

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Publication date: 24 August 2007

Published in: WIT Transactions on Modelling and Simulation, Vol 44 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2495/be070051

zbMATH Keywords

numerical exampleCauchy problemLaplace equationill-posed problemTrefftz method\(L\)-curve conceptadaptive error estimationlinear regularization methodTikhonov techniqueoverspecified boundary conditions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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