Adaptive Preconditioned Variational Methods For Solving Self-Adjoint Partial Differential Equations

DOI10.1080/0020716021000014213zbMath1031.65114OpenAlexW2068994666MaRDI QIDQ4707310

I. C. Demetriou, David J. Evans

Publication date: 25 February 2004

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020716021000014213

zbMATH Keywords

numerical examplespreconditioningvariational methodsadaptive methodsLaplace equationsteepest descentfinite differenceconjugate gradientparameter selectionRichardson methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• On the accelerated SSOR method for solving large linear systems
• On the dynamic acceleration of the preconditioned simultaneous displacement (psd) method
• The Use of Pre-conditioning in Iterative Methods for Solving Linear Equations with Symmetric Positive Definite Matrices
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