Finite element methods for coefficient identification in an elliptic equation

DOI10.1080/00036811.2013.840365zbMath1304.65243OpenAlexW1969748850WikidataQ58294478 ScholiaQ58294478MaRDI QIDQ2875558

Tran Nhan Tam Quyen, Dinh Nho Hào

Publication date: 8 August 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2013.840365

zbMATH Keywords

convergenceDirichlet probleminverse problemerror estimatesfinite element methodsTikhonov regularizationreaction-diffusion equationill-posed problemsNeumann problemmixed boundary value problemselliptic equationcoefficient identification

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (5)

Convergence rate analysis of Galerkin approximation of inverse potential problem ⋮ Numerical methods for identifying the diffusion coefficient in a nonlinear elliptic equation ⋮ Finite element analysis for identifying the reaction coefficient in PDE from boundary observations ⋮ Numerical solution of an elliptic 3-dimensional Cauchy problem by the alternating method and boundary integral equations ⋮ An ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observations

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