Anisotropic \(H_{\operatorname{div}} \)-norm error estimates for rectangular \(H_{\operatorname{div}} \)-elements

DOI10.1016/j.aml.2021.107453OpenAlexW3172796511MaRDI QIDQ2235038

Sebastian Franz

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.07196

zbMATH Keywords

\( H_{\operatorname{div}} \)-elements\( H_{\operatorname{div}} \)-normanisotropic interpolation error estimates

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) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02)

Related Items (1)

Singularly perturbed reaction-diffusion problems as first order systems

Cites Work

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• Two families of mixed finite elements for second order elliptic problems
• Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra
• Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements
• Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
• Mixed Finite Element Methods and Applications
• Brezzi--Douglas--Marini Interpolation of Any Order on Anisotropic Triangles and Tetrahedra
• QuadrilateralH(div) Finite Elements

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