Parallel overlapping Schwarz with an energy-minimizing coarse space

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Abstract

Parallel results obtained with a new implementation of an overlapping Schwarz method using an energy minimizing coarse space are presented. We consider structured and unstructured domain decompositions for scalar elliptic and linear elasticity model problems in two dimensions. In particular, strong and weak parallel scalability studies for up to 1024 processor cores are presented for both types of problems. Additionally, weak scalability results for a three-dimensional linear elasticity model problem using up to 4096 processor cores are discussed. Finally, an application from fully-coupled fluid-structure interaction using a nonlinear hyperelastic material model for the structure is shown.

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Heinlein, A., Klawonn, A., & Rheinbach, O. (2017). Parallel overlapping Schwarz with an energy-minimizing coarse space. In Lecture Notes in Computational Science and Engineering (Vol. 116, pp. 353–360). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_36

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