A unified analysis of a class of quadratic finite volume element schemes on triangular meshes
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Publication:2200078
DOI10.1007/s10444-020-09809-8zbMath1448.65198OpenAlexW3082747974MaRDI QIDQ2200078
Publication date: 15 September 2020
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-020-09809-8
coercivitytriangular meshesminimum angle conditionoptimal \(H^1\) error estimatequadratic finite volume element schemesunified analysis
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 volume methods for boundary value problems involving PDEs (65N08)
Related Items (12)
A new high order finite volume element solution on arbitrary triangular and quadrilateral meshes ⋮ Construction and analysis of the quadratic finite volume methods on tetrahedral meshes ⋮ A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes ⋮ Three dimensional high order finite volume element schemes for elliptic equations ⋮ A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes ⋮ A Finite Volume Element Solution Based on Postprocessing Technique Over Arbitrary Convex Polygonal Meshes ⋮ An unconditionally stable and \(L^2\) optimal quadratic finite volume scheme over triangular meshes for anisotropic elliptic equations ⋮ A polygonal finite volume element method for anisotropic diffusion problems ⋮ \(L^2\) error estimates for a family of cubic finite volume methods on triangular meshes ⋮ The Hermite finite volume method with global conservation law ⋮ Unnamed Item ⋮ High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions
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