A new equilibrated residual method improving accuracy and efficiency of flux-free error estimates

DOI10.1016/j.cma.2016.10.010zbMath1439.65190OpenAlexW2538438809WikidataQ56660663 ScholiaQ56660663MaRDI QIDQ2308776

Núria Parés, Pedro Díez

Publication date: 3 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/99967

zbMATH Keywords

adaptivityreaction-diffusion equationequilibrated boundary tractionsexact/guaranteed/strict boundsflux-freefully computable a posteriori error estimation

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)

Related Items (4)

An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM ⋮ A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes ⋮ A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method

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