Analysis of linear and quadratic simplicial finite volume methods for elliptic equations

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DOI10.1007/s00211-008-0189-zzbMath1169.65110OpenAlexW1986550841MaRDI QIDQ998641

Qingsong Zou, Jin-Chao Xu

Publication date: 9 February 2009

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-008-0189-z

zbMATH Keywords

two dimensions superconvergence elliptic equations inf-sup condition a posteriori error estimates Poisson equation arbitrary dimension linear finite element methods linear finite volume methods quadratic finite volume methods

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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