Stein, Erwin; Kreienmeyer, Monika Coupling of BEM and FEM by a multiplicative Schwarz method and its parallel implementation. (English) Zbl 0936.74079 Eng. Comput. (Bradf.) 15, No. 2-3, 173-189 (1998). We describe the coupling of displacement-based FEM and collocation BEM and its implementation on a distributed memory system (Parsytec MultiCluster2). The parallelization is performed by data partitioning, which leads to a very high efficiency. As model problems, we assume linear elasticity for the boundary element method and elastoplasticity for the finite element method. The efficiency of our implementation is shown by various test examples. By numerical examples we show that a multiplicative Schwarz method for coupling BEM with FEM is very well suited for parallel implementation. Cited in 4 Documents MSC: 74S15 Boundary element methods applied to problems in solid mechanics 74S05 Finite element methods applied to problems in solid mechanics 74S30 Other numerical methods in solid mechanics (MSC2010) 65Y05 Parallel numerical computation Keywords:Parsytec MultiCluster2; distributed memory system; parallelization; data partitioning; linear elasticity; elastoplasticity; multiplicative Schwarz method PDFBibTeX XMLCite \textit{E. Stein} and \textit{M. Kreienmeyer}, Eng. Comput. (Bradf.) 15, No. 2--3, 173--189 (1998; Zbl 0936.74079) Full Text: DOI References: [1] DOI: 10.1007/s002110050235 · Zbl 0877.73063 · doi:10.1007/s002110050235 [2] DOI: 10.1007/BF00537196 · Zbl 0627.73029 · doi:10.1007/BF00537196 [3] DOI: 10.1108/02644409410799326 · Zbl 0967.74602 · doi:10.1108/02644409410799326 [4] DOI: 10.1007/BF00369884 · Zbl 0825.73673 · doi:10.1007/BF00369884 [5] DOI: 10.1007/BF00372272 · Zbl 0825.73878 · doi:10.1007/BF00372272 [6] DOI: 10.1016/0045-7949(86)90254-3 · Zbl 0589.73073 · doi:10.1016/0045-7949(86)90254-3 [7] DOI: 10.1007/BF00369963 · Zbl 0782.65135 · doi:10.1007/BF00369963 [8] DOI: 10.1137/0907058 · Zbl 0599.65018 · doi:10.1137/0907058 [9] DOI: 10.1002/nme.1620220310 · Zbl 0585.73059 · doi:10.1002/nme.1620220310 [10] DOI: 10.1002/nme.1620220310 · Zbl 0585.73059 · doi:10.1002/nme.1620220310 [11] DOI: 10.1137/0913035 · Zbl 0761.65023 · doi:10.1137/0913035 [12] DOI: 10.1007/BF01389538 · Zbl 0608.65065 · doi:10.1007/BF01389538 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.