Wang, Junping Convergence analysis without regularity assumptions for multigrid algorithms based on SOR smoothing. (English) Zbl 0753.65093 SIAM J. Numer. Anal. 29, No. 4, 987-1001 (1992). Convergence estimates for the standard multigrid algorithms based on successive overrelaxation (SOR) smoothing are established without regularity assumptions for symmetric and positive definite variational problems, and the results are applied to second order elliptic equations discretized by using finite element methods. Reviewer: J.D.P.Donnelly (Oxford) Cited in 1 ReviewCited in 11 Documents MSC: 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65F10 Iterative numerical methods for linear systems 35J25 Boundary value problems for second-order elliptic equations Keywords:Convergence estimates; multigrid algorithms; successive overrelaxation; smoothing; second order elliptic equations; finite element methods PDF BibTeX XML Cite \textit{J. Wang}, SIAM J. Numer. Anal. 29, No. 4, 987--1001 (1992; Zbl 0753.65093) Full Text: DOI OpenURL