A Parallel Multigrid Method for the Finite Element Analysis of Mechanical Contact
A geometrical multigrid method for solving the linearized matrix equations arising from node-on-face three-dimensional finite element contact is described. The development of an efficient implementation of this combination that minimizes both the memory requirements and the computational cost requires careful construction and storage of the portion of the coarse mesh stiffness matrices that are associated with the contact stiffness on the fine mesh. The multigrid contact algorithm is parallelized in a manner suitable for distributed memory architectures: results are presented that demonstrates the scheme's scalability. The solution of a large contact problem derived from an analysis of the factory joints present in the Space Shuttle reusable solid rocket motor demonstrates the usefulness of the general approach.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 15004304
- Report Number(s):
- UCRL-JC-147741; TRN: US201015%%489
- Resource Relation:
- Conference: International Conference on Computational Engineering and Sciences, Reno, NV, Jul 31 - Aug 02, 2002
- Country of Publication:
- United States
- Language:
- English
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