Superconvergence and asymptotic expansions for bilinear finite volume element approximation on non-uniform grids

DOI10.1016/j.cam.2016.12.024zbMath1366.65097OpenAlexW2592407066MaRDI QIDQ2357438

Cunyun Nie, Haiyuan Yu, Wenhua Xia, Shi Shu

Publication date: 13 June 2017

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.2016.12.024

zbMATH Keywords

numerical exampleasymptotic expansionsuperconvergencenon-uniform gridsisoparametric bilinear finite volume element scheme

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)

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Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes

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