Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates

DOI10.1137/15M1036701zbMath1416.65410arXiv1508.06155MaRDI QIDQ5741065

Dirk Praetorius, Christoph Erath

Publication date: 21 July 2016

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

Full work available at URL: https://arxiv.org/abs/1508.06155

zbMATH Keywords

convergencefinite volume methodoptimalityadaptive algorithmoptimal convergence ratesa posteriori error estimatorslocal mesh-refinement

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

Related Items (9)

Adaptive stabilized finite volume method and convergence analysis for the Oseen equations ⋮ Three dimensional high order finite volume element schemes for elliptic equations ⋮ A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes ⋮ A unified analysis of a class of quadratic finite volume element schemes on triangular meshes ⋮ Stable non-symmetric coupling of the finite volume method and the boundary element method for convection-dominated parabolic-elliptic interface problems ⋮ A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems ⋮ A non-symmetric coupling of the finite volume method and the boundary element method ⋮ An Adaptive Nonsymmetric Finite Volume and Boundary Element Coupling Method for a Fluid Mechanics Interface Problem ⋮ High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions

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