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A Neumann-Neumann domain decomposition algorithm for solving plate and shell problems. (English) Zbl 0917.73071
The authors present a new Neuman-Neumann-type preconditioner for large-scale linear systems arising from plate and shell problems. The advantage of this method is that mesh size is smaller in order to have parallel scalability. Numerical experiments are implemented, and results are encouraging.

MSC:
74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
74K15 Membranes
65F10 Iterative numerical methods for linear systems
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