Krylov Subspace Acceleration of Waveform Relaxation

DOI10.1137/S0036142996313142zbMath1047.65020OpenAlexW2041556368MaRDI QIDQ4443580

Andrew Lumsdaine, Deyun Wu

Publication date: 18 January 2004

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142996313142

zbMATH Keywords

Galerkin methodnumerical examplesconvergence accelerationGauss-Seidel iterationJacobi iterationconjugate gradient methodswaveform relaxationdynamic iterationgeneralized minimal residual methodsconvolutive Krylov subspace method

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to equations with linear operators (65J10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear differential equations in abstract spaces (34G10)

Related Items (3)

Discrete waveform relaxation method for linear fractional delay differential-algebraic equations ⋮ Optimal semi-iterative methods for complex SOR with results from potential theory ⋮ A time-parallel implicit method for accelerating the solution of non-linear structural dynamics problems

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