Convergence analysis and error estimates for mixed finite element method on distorted meshes

DOI10.1515/1569395054068973zbMath1069.65114OpenAlexW1974983581MaRDI QIDQ4675851

Yuri A. Kuznetsov, Sergey I. Repin

Publication date: 6 May 2005

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

Full work available at URL: https://doi.org/10.1515/1569395054068973

zbMATH Keywords

error estimatesPoisson equationmixed finite element methodRaviart-Thomas finite elementpolyhedral meshespolygonal meshesa priori convergence estimates

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (16)

Benchmark 3D: A Composite Hexahedral Mixed Finite Element ⋮ A mixed finite volume scheme for anisotropic diffusion problems on any grid ⋮ A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra ⋮ A technique for improving the accuracy of quadrangular mixed finite elements for Darcy's flow on heterogeneous domains ⋮ A CONSTRUCTION OF SPACES OF COMPATIBLE DIFFERENTIAL FORMS ON CELLULAR COMPLEXES ⋮ High-order mimetic finite difference method for diffusion problems on polygonal meshes ⋮ MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS ⋮ Diffusion equation on nonmatching distorted hexahedral meshes ⋮ Mimetic finite difference method ⋮ Local flux mimetic finite difference methods ⋮ Tailored finite point method for diffusion equations with interfaces on distorted meshes ⋮ Pseudo-conforming polynomial finite elements on quadrilaterals ⋮ Topics in structure-preserving discretization ⋮ A mixed finite-element method on polytopal mesh ⋮ The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes ⋮ A mortar mimetic finite difference method on nonmatching grids

Cites Work

• Mixed and Hybrid Finite Element Methods
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