Some recent advances on vertex centered finite volume element methods for elliptic equations
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Publication:476520
DOI10.1007/s11425-013-4740-8zbMath1304.65235OpenAlexW2041991195MaRDI QIDQ476520
Publication date: 2 December 2014
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-013-4740-8
finite volume methoderror analysissuperconvergenceinf-sup conditionhigh ordersecond-order elliptic equationvertex centered finite volume element methods
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) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (9)
A new high order finite volume element solution on arbitrary triangular and quadrilateral 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 ⋮ A polygonal finite volume element method for anisotropic diffusion problems ⋮ Unnamed Item ⋮ 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 ⋮ High order locally conservative finite element solutions for anisotropic diffusion problems in two dimensions
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