Error Analysis of Finite Element Approximations of Diffusion Coefficient Identification for Elliptic and Parabolic Problems

DOI10.1137/20M134383XzbMath1459.65175arXiv2010.02447MaRDI QIDQ5147759

Zhi Zhou, Bangti Jin

Publication date: 28 January 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.02447

zbMATH Keywords

parameter identificationfinite element approximationerror estimateTikhonov regularization

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (4)

On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem ⋮ Convergence rate analysis of Galerkin approximation of inverse potential problem ⋮ Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem ⋮ Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation

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