A scalable parallel factorization of finite element matrices with distributed Schur complements |
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| Authors: | Daniel Maurer Christian Wieners |
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| Affiliation: | Institute for Applied and Numerical Mathematics, Karlsruhe Institute of Technology, Karlsruhe, Germany |
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| Abstract: | We consider the parallel factorization of sparse finite element matrices on distributed memory machines. Our method is based on a nested dissection approach combined with a cyclic re‐distribution of the interface Schur complements. We present a detailed definition of the parallel method, and the well‐posedness and the complexity of the algorithm are analyzed. A lean and transparent functional interface to existing finite element software is defined, and the performance is demonstrated for several representative examples. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | parallel factorization block LU decomposition finite element matrix Schur complements |
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