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Konvergenzfaktoren von Mehrgitterverfahren für Probleme der ebenen, linearen Elastizitätstheorie. (Convergence factors of multigrid methods for problems of plane linear elasticity). (German) Zbl 0619.73086

(Author’s summary.) A multigrid method for solving plane linear elasticity problems is proposed. For the two-level procedure, estimates of the convergence factor are obtained for the state of plane stress as well as for the state of plane strain. In both cases, the convergence factor strongly depends on the Poisson ratio. Finally, we present estimates of the convergence rate of the multigrid method.
Reviewer: P.Laasonen

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
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