Abstract
Extensive research has led to the development of efficient iterative and direct solution methods for finite element simulations in structural mechanics. In the field of iterative methods, domain decomposition methods (DDM) constitute an important family of solvers for a variety of problems. In structural mechanics, the most popular DDM can be divided in two major categories, the primal and dual substructuring methods. The dual substructuring method also called “finite element tearing and interconnecting” (FETI) method was introduced by Farhat and Roux. Since their introduction, FETI and several variant methods have been thoroughly investigated and are considered as highly efficient as DDM. The primal-FETI (P-FETI) methods are a family of DDM that were recently introduced for the solution of finite element problems in structural mechanics. P-FETI methods are formulated according to the theory of the primal substructuring method (PSM) and the original FETI methods.
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