A multigrid method for three-dimensional elasticity and algebraic convergence estimates
type: Item
instance of: scholarly article
title: A multigrid method for three-dimensional elasticity and algebraic convergence estimates
zbMATH Open document ID: 0621.73097
DOI: 10.1016/0096-3003(87)90034-8
author: Michal Kočvara
author: Jan Mandel
published in: Applied Mathematics and Computation
publication date: 1987-01-01T00:00:00Z
review text: (From authors' summary.) A two-level iterative method for three- dimensional elasticity problems discretized by quadratic elements is proposed. The coarse level consists of linear elements. A sharpened algebraic convergence theory for two-level methods with smoothing by Gauss-Seidel, which applies to more general situations as well is developed. The convergence estimates do not deteriorate for strongly discontinuous coefficients. Observed convergence rates are compared with theoretical estimates. The method is competitive with a standard direct solver.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 4007877
zbMATH Keywords: multigrid method
zbMATH Keywords: finite-element discretization
zbMATH Keywords: small deformation
zbMATH Keywords: two- level iterative method
zbMATH Keywords: three-dimensional elasticity
zbMATH Keywords: quadratic elements
zbMATH Keywords: sharpened algebraic convergence theory
zbMATH Keywords: smoothing
zbMATH Keywords: Gauss-Seidel
zbMATH Keywords: convergence estimates
MaRDI profile type: Publication
full work available at URL: 0096-3003(87)90034-8
OpenAlex ID: W2089344836
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description: scientific article; zbMATH DE number 4007877