Coercivity results of a modified \(Q_1\)-finite volume element scheme for anisotropic diffusion problems

DOI10.1007/s10444-017-9567-3zbMath1395.65128OpenAlexW2764311165MaRDI QIDQ723746

Jiming Wu, Qi Hong

Publication date: 24 July 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-017-9567-3

zbMATH Keywords

coercivity\(H^1\) error estimate\(Q_1\)-finite volume element methodmodified \(Q_1\)-finite volume element scheme

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (7)

A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes ⋮ Construction and analysis of the quadratic finite volume methods on tetrahedral meshes ⋮ New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method ⋮ A unified analysis of a class of quadratic finite volume element schemes on triangular meshes ⋮ A family of quadratic finite volume element schemes for anisotropic diffusion problems on triangular meshes ⋮ A \(Q_1\)-finite volume element scheme for anisotropic diffusion problems on general convex quadrilateral mesh ⋮ A family of quadratic finite volume element schemes over triangular meshes for elliptic equations

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