Error Estimates for the Raviart–Thomas Interpolation Under the Maximum Angle Condition

DOI10.1137/060665312zbMath1168.65061OpenAlexW2002937050MaRDI QIDQ3631923

Ricardo G. Durán, Ariel L. Lombardi

Publication date: 22 June 2009

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

Full work available at URL: https://doi.org/10.1137/060665312

zbMATH Keywords

mixed finite elementserror estimateanisotropic finite elementsRaviart-Thomas interpolation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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

Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements ⋮ Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements ⋮ An interface-fitted mesh generator and virtual element methods for elliptic interface problems ⋮ Brezzi--Douglas--Marini Interpolation of Any Order on Anisotropic Triangles and Tetrahedra ⋮ Interpolation theory of anisotropic finite elements and applications ⋮ Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra