A parallel block LU decomposition method for distributed finite element matrices

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Bibliographic Details
Title: A parallel block LU decomposition method for distributed finite element matrices
Authors: Maurer, Daniel1 daniel.maurer@kit.edu, Wieners, Christian
Source: Parallel Computing. Dec2011, Vol. 37 Issue 12, p742-758. 17p.
Subjects: Finite element method, Matrices (Mathematics), Decomposition method, Parallel algorithms, Performance, Schur complement
Abstract: Abstract: In this work we present a new parallel direct linear solver for matrices resulting from finite element problems. The algorithm follows the nested dissection approach, where the resulting Schur complements are also distributed in parallel. The sparsity structure of the finite element matrices is used to pre-compute an efficient block structure for the LU factors. We demonstrate the performance and the parallel scaling behavior by several test examples. [Copyright &y& Elsevier]
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Database: Engineering Source
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