Defect correction from a Galerkin viewpoint

DOI10.1007/BF01400892zbMath0643.65051OpenAlexW2007627811MaRDI QIDQ1102079

Gerald Moore

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/133253

zbMATH Keywords

Galerkin's methodpiecewise polynomialsdefect corrections

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (2)

Defect Correction for Two-Point Boundary Value Problems on Nonequidistant Meshes ⋮ Defect correction and domain decomposition for second-order boundary value problems

Cites Work

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• Deferred corrections using uncentered end formulas
• The defect correction principle and discretization methods
• The Order of Accuracy for Deferred Corrections Using Uncentered End Formulas
• Optimal Recovery in the Finite-Element Method, Part 2: Defect Correction for Ordinary Differential Equations
• A Theoretical Framework for Proving Accuracy Results for Deferred Corrections
• A Unified Theory of Superconvergence for Galerkin Methods for Two-Point Boundary Problems
• Difference Methods and Deferred Corrections for Ordinary Boundary Value Problems
• The Differentiation of Pseudo-Inverses and Nonlinear Least Squares Problems Whose Variables Separate
• Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations

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