On the supraconvergence of elliptic finite difference schemes

DOI10.1016/S0168-9274(98)00048-8zbMath0929.65093OpenAlexW2030419624MaRDI QIDQ1294518

Rolf Dieter Grigorieff, José Augusto Ferreira

Publication date: 2 February 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00048-8

zbMATH Keywords

stabilityfinite element methodfinite difference schemesuperconvergencesecond-order elliptic boundary value problemssupraconvergence

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) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

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• Evolution-Galerkin methods and their supraconvergence
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• Supra-Convergent Schemes on Irregular Grids
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• On Convergence of Block-Centered Finite Differences for Elliptic Problems
• Some Stability Inequalities for Compact Finite Difference Schemes
• Superconvergence and Reduced Integration in the Finite Element Method
• Convergence of Finite Volume Schemes for Poisson’s Equation on Nonuniform Meshes
• Superconvergence of the gradient of finite element solutions
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