Local Flux Reconstructions for Standard Finite Element Methods on Triangular Meshes

DOI10.1137/16M1064817zbMath1347.65173OpenAlexW2510475660MaRDI QIDQ2817787

Robert Luce, Daniela Capatina, Roland Becker

Publication date: 2 September 2016

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

Full work available at URL: https://doi.org/10.1137/16m1064817

zbMATH Keywords

error estimatesstabilizationlocal conservationconforming finite element methodnonconforming finite element methodlocal flux reconstruction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (9)

Flux recovery for Cut Finite Element Method and its application in a posteriori error estimation ⋮ An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ Robust flux reconstruction and a posteriori error analysis for an elliptic problem with discontinuous coefficients ⋮ Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients ⋮ Guaranteed \textit{a posteriori} error estimates for a fractured porous medium ⋮ Nonconforming discretizations of convex minimization problems and precise relations to mixed methods ⋮ Generalized Prager-Synge identity and robust equilibrated error estimators for discontinuous elements ⋮ Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media ⋮ Unnamed Item

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