Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements

DOI10.1090/S0025-5718-2014-02826-3zbMath1300.65079MaRDI QIDQ3189444

Martin Stynes

Publication date: 10 September 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

error estimatesanisotropic interpolationRaviart-Thomas finite elements

Mathematics Subject Classification ID

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)

Related Items (4)

Mixed finite element-based fully conservative methods for simulating wormhole propagation ⋮ Anisotropic \(H_{\operatorname{div}} \)-norm error estimates for rectangular \(H_{\operatorname{div}} \)-elements ⋮ Singularly perturbed reaction-diffusion problems as first order systems ⋮ A conforming discontinuous Galerkin finite element method on rectangular partitions

Cites Work

• Unnamed Item
• Error estimates for Raviart-Thomas interpolation of any order on anisotropic tetrahedra
• Error Estimates for the Raviart–Thomas Interpolation Under the Maximum Angle Condition
• A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions
• Mixed and Hybrid Finite Element Methods
• Canonical construction of finite elements
• The Maximum Angle Condition for Mixed and Nonconforming Elements: Application to the Stokes Equations
• A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems
• A parameter robust numerical method for a two dimensional reaction-diffusion problem
• QuadrilateralH(div) Finite Elements

This page was built for publication: Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements