A priori error estimate of the finite element solution to a Poisson inverse source problem

DOI10.1088/0266-5611/30/8/085007zbMath1297.35284OpenAlexW2034342256MaRDI QIDQ3188798

Sven Bossuyt, A. Huhtala, Antti Hannukainen

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1088/0266-5611/30/8/085007

zbMATH Keywords

Poisson equationTikhonov regularizationfinite element solutioninverse source problema priori error estimate

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Error bounds for boundary value problems involving PDEs (65N15) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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