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Peisker, Petra

A multigrid method for Reissner-Mindlin plates. (English) Zbl 0736.73071

Numer. Math. 59, No. 5, 511-528 (1991).
Summary: The numerical solution of the Mindlin-Reissner plate equations by a multigrid method is studied. Difficulties arise only if the thickness parameter is significantly smaller than the mesh parameter. In this case an augmented Lagrangian method is applied to transform the given problem into a sequence of problems with relaxed penalty parameter. With this a parameter independent iteration is obtained.

Cited in 6 Documents

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
74K20 Plates
74S05 Finite element methods applied to problems in solid mechanics

Keywords:

augmented Lagrangian method; sequence of problems with relaxed penalty parameter; parameter independent iteration
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References:

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