Primal-Dual Mixed Finite Element Methods for the Elliptic Cauchy Problem

DOI10.1137/17M1163335zbMath1408.65085arXiv1712.10172OpenAlexW2963621796WikidataQ128762145 ScholiaQ128762145MaRDI QIDQ4562239

Lauri Oksanen, Erik Burman, Mats G. Larson

Publication date: 19 December 2018

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

Full work available at URL: https://arxiv.org/abs/1712.10172

zbMATH Keywords

inverse problemprimal-dual methodmixed finite element methodelliptic Cauchy problemstabilized methods

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (8)

Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow ⋮ On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates ⋮ Uniqueness' failure for the finite element Cauchy-Poisson's problem ⋮ Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations ⋮ Primal Dual Mixed Finite Element Methods for Indefinite Advection-Diffusion Equations ⋮ Full Discretization of Cauchy's Problem by Lavrentiev--Finite Element Method ⋮ A dual approach to Kohn–Vogelius regularization applied to data completion problem ⋮ Accuracy controlled data assimilation for parabolic problems

Uses Software

• FreeFem++

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