The FET1 Level 1 Method: Theory and Implementation

[摘要] This report summarizes our experiences in developing a prototype serial code for the implementation of the Level 1 Finite Element Tearing and Interconnecting (FETI) method. This method is a non-overlapping domain-decomposition scheme for the parallel solution of ill-conditioned systems of linear equations arising in structural mechanics problems. The FETI method has been shown to be numerically scalable for second order elasticity and fourth order plate and shell problems. In this report, we first outline the theory underlying the FETI method and discuss the approaches taken to improve the robustness and convergence of the method. We next provide implementation details, focusing on our serial prototype code. Finally, we present experimental results, followed by a summary of our observations.

[发布日期] 2000-03-01 [发布机构] Lawrence Livermore National Laboratory

[关键词] 99 General And Miscellaneous//Mathematics, Computing, And Information Science;Implementation;Elasticity;Plates;Focusing