The application of iterated defect correction to variational methods for elliptic boundary value problems

DOI10.1007/BF02280783zbMath0498.65051OpenAlexW378671792MaRDI QIDQ1171366

J. P. Monnet, J. Hertling, Reinhard Frank

Publication date: 1983

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02280783

zbMATH Keywords

numerical examplesfinite element methodsiterated defect correctionprogram packages

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (11)

A semi‐discrete defect correction finite element method for unsteady incompressible magnetohydrodynamics equations ⋮ IDeC-convergence independent of error asymptotics ⋮ A defect-correction mixed finite element method for stationary conduction-convection problems ⋮ Second order modified method of characteristics mixed defect-correction finite element method for time dependent Navier-Stokes problems ⋮ Defect correction finite element method for the stationary incompressible magnetohydrodynamics equation ⋮ A posteriori error estimation for a defect correction method applied to conduction convection problems ⋮ A defect-correction method for unsteady conduction-convection problems. I: Spatial discretization ⋮ Error estimate of a fully discrete defect correction finite element method for unsteady incompressible Magnetohydrodynamics equations ⋮ Modified characteristics mixed defect-correction finite element method for the time-dependent Navier–Stokes problems ⋮ A defect-correction method for unsteady conduction-convection problems. II: Time discretization ⋮ Iterated defect correction of differential equations. II: Numerical experiments

Cites Work

• Implementation of defect correction methods for stiff differential equations
• On the estimation of errors propagated in the numerical integration of ordinary differential equations
• The method of iterated defect-correction and its application to two-point boundary value problems. I
• The defect correction principle and discretization methods
• Iterated defect correction for differential equations. I: Theoretical results
• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
• Iterated defect correction for the efficient solution of stiff systems of ordinary differential equations
• An Extension of the Applicability of Iterated Deferred Corrections
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