First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods

DOI10.1007/s00211-010-0290-yzbMath1220.65152OpenAlexW2048802843MaRDI QIDQ985696

Joachim Hoffmann, Markus Bause, Peter Knabner

Publication date: 6 August 2010

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0290-y

zbMATH Keywords

convergencecomparison of methodserror estimatesnumerical examplesfinite elementtriangular gridRaviart-Thomas elementsmulti-point flux approximation control volume methods

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)

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Local coderivatives and approximation of Hodge Laplace problems ⋮ Mixed finite element methods for groundwater flow in heterogeneous aquifers ⋮ High order approximation of Hodge Laplace problems with local coderivatives on cubical meshes ⋮ Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space ⋮ Convergence of Chandrashekar's second-derivative finite-volume approximation ⋮ Multipoint flux mixed finite element methods for slightly compressible flow in porous media ⋮ Quadratic Finite Volume Method for a Nonlinear Elliptic Problem ⋮ Iterative schemes for surfactant transport in porous media ⋮ Variational time discretization for mixed finite element approximations of nonstationary diffusion problems

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