Multigrid methods for parameter dependent problems. (English) Zbl 0848.73062

Summary: Multigrid methods for parameter dependent problems are discussed. The contraction numbers of the algorithms are proved within a unifying framework to be bounded away from one, independent of the parameter and the mesh levels. Examples include the pure displacement and pure traction boundary value problems in planar linear elasticity, the Timoshenko beam problem and the Reissner-Mindlin plate problem.


74S05 Finite element methods applied to problems in solid mechanics
74B05 Classical linear elasticity
74Kxx Thin bodies, structures
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