Two dimensional mixed finite element approximations for elliptic problems with enhanced accuracy for the potential and flux divergence

DOI10.1016/j.camwa.2017.08.013zbMath1397.65263OpenAlexW2751824499MaRDI QIDQ1672697

Denise de Siqueira, Agnaldo M. Farias, Douglas A. Castro, Sônia M. Gomes, Philippe Remy Bernard Devloo

Publication date: 11 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.08.013

zbMATH Keywords

convergence ratesfinite elementsmixed formulation\(\mathbf H(\mathrm{div})\) spacesapproximation space configurations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (9)

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 ⋮ A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields ⋮ Mixed finite element approximations of a singular elliptic problem based on some anisotropic and \(hp\)-adaptive curved quarter-point elements ⋮ A remark concerning divergence accuracy order for \(\mathbf H(\operatorname{div})\)-conforming finite element flux approximations ⋮ Exact sequences of conforming finite element spaces with interface constraints for macro polytopal meshes ⋮ Hierarchical high order finite element bases for \(\mathbf{H}(\operatorname{div})\) spaces based on curved meshes for two-dimensional regions or manifolds ⋮ Study of the enriched mixed finite element method comparing errors and computational cost with classical FEM and mixed scheme on quadrilateral meshes ⋮ Enriched two dimensional mixed finite element models for linear elasticity with weak stress symmetry

Uses Software

• GitHub

Cites Work

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