A remark concerning divergence accuracy order for \(\mathbf H(\operatorname{div})\)-conforming finite element flux approximations

DOI10.1016/j.camwa.2018.11.019zbMath1442.65361arXiv1808.03625OpenAlexW2952515113MaRDI QIDQ2203892

Agnaldo M. Farias, Sônia M. Gomes, Philippe Remy Bernard Devloo

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03625

zbMATH Keywords

mixed finite elements\(\mathbf H(\operatorname{div})\) spaceshigh order convergence rates

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) 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 (5)

A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows ⋮ Hierarchical high order finite element spaces in \(H(\operatorname{div},\Omega)\times H^1(\Omega)\) for a stabilized mixed formulation of Darcy problem ⋮ A posteriori error estimates for primal hybrid finite element methods applied to Poisson problem ⋮ NewH(div)-conforming multiscale hybrid-mixed methods for the elasticity problem on polygonal meshes ⋮ Enriched two dimensional mixed finite element models for linear elasticity with weak stress symmetry

Cites Work

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• Error analysis of variable degree mixed methods for elliptic problems via hybridization
• QuadrilateralH(div) Finite Elements
• Hierarchical high order finite element bases for \(\mathbf{H}(\operatorname{div})\) spaces based on curved meshes for two-dimensional regions or manifolds

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