A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation

DOI10.1016/j.cam.2013.03.007zbMath1290.65101OpenAlexW2079291352MaRDI QIDQ2016414

Tao Lin, Xiu Ye

Publication date: 20 June 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.03.007

zbMATH Keywords

finite volume methodselliptic problemsbilinear finite elementsposteriori error estimate

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 (6)

Closed form numerical solutions of variable coefficient linear second-order elliptic problems ⋮ Adaptive stabilized finite volume method and convergence analysis for the Oseen equations ⋮ A Discontinuous Finite Volume Element Method Based on Bilinear Trial Functions ⋮ A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems ⋮ Superconvergence of quadratic finite volume method on triangular meshes ⋮ New superconvergent structures developed from the finite volume element method in 1D

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