Variational method for multiple parameter identification in elliptic PDEs

DOI10.1016/j.jmaa.2018.01.030zbMath1392.35117arXiv1704.00525OpenAlexW2963681535WikidataQ130185665 ScholiaQ130185665MaRDI QIDQ1706387

Tran Nhan Tam Quyen

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00525

zbMATH Keywords

inverse problemfinite element methodelliptic PDE

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Direct method for solving the inverse coefficient problem ⋮ Estimation of boundary condition of two-dimensional nonlinear PDE with application to continuous casting ⋮ A reaction coefficient identification problem for fractional diffusion ⋮ Heuristic discrepancy principle for variational regularization of inverse problems ⋮ Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations ⋮ A Regularization Approach for an Inverse Source Problem in Elliptic Systems from Single Cauchy Data ⋮ Finite element analysis for identifying the reaction coefficient in PDE from boundary observations ⋮ Finite element approximation of source term identification with TV-regularization ⋮ An ADMM-Newton-CNN numerical approach to a TV model for identifying discontinuous diffusion coefficients in elliptic equations: convex case with gradient observations

Uses Software

• KELLEY

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