Balancing Domain Decomposition Method on Additive Schwartz Framework for Multi-Level Implementation

摘要

A new implementation of the balancing domain decomposition (BDD) method on additive Schwartz framework is proposed in this paper. BDD family is one of the most effective approaches for parallel computing of large scale structural finite element analyses. In the balancing domain decomposition by constraints (BDDC), the coarse grid correction procedure is applied in an additive manner, while it is applied multiplicatively in original BDD. Here, BDD on additive Schwartz framework is proposed and its multi-level implementation is discussed. Detailed computing performance is investigated with some numerical examples.