Non - nested and non - structured multigrid methods applied to elastic problems . Part I : The two - dimensional
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چکیده
SUMMARY This paper presents the application of non-nested and non-structured multigrid methods for two-dimensional elastic linear problems. Some basic aspects related to multigrid methods are discussed including nested iterations, coarse grid correction scheme, transfer operators, and multigrid strategies. A variational formulation for the transfer operators is also considered. The C++ implementation of the multigrid software is discussed and some examples are analyzed. The performance of multigrid strategies is compared with direct and pre-conditioned conjugate gradient algorithms.
منابع مشابه
Non - nested and non - structured multigrid methods applied to elastic problems . Part II : The three - dimensional case
Aspects of non-nested and non-structured multigrid methods with applications to twodimensional elastic problems were presented in a companion paper [5] by the current authors, Non-Nested and Non-Structured Multigrid Methods Applied to Elastic Problems, Part I: The Two-Dimensional Case. In this paper a review of some multigrid strategies, procedures for geometric search to implement transfer ope...
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SUMMARY This paper presents the application of non-nested and non-structured multigrid methods for two-dimensional elastic linear problems. Some basic aspects related to multigrid methods are discussed including nested iterations, coarse grid correction scheme, transfer operators, and multigrid strategies. A variational formulation for the transfer operators is also considered. The C++ implemen...
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تاریخ انتشار 1998