SlabLU: a two-level sparse direct solver for elliptic PDEs

The paper describes a sparse direct solver for the linear systems that arise from the discretization of an elliptic PDE on a two-dimensional domain. The scheme decomposes the domain into thin subdomains, or “slabs” and uses a two-level approach that is designed with parallelization in mind. The sche...

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Bibliographic Details
Published in:	Advances in computational mathematics Vol. 50; no. 4; p. 90
Main Authors:	Yesypenko, Anna, Martinsson, Per-Gunnar
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2024 Springer Nature B.V Springer
Subjects:	Computational mathematics Computational Mathematics and Numerical Analysis Computational Science and Engineering Discretization Domains Elliptic differential equations Graphics processing units Linear algebra Linear systems Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Matrix algebra Parabolic differential equations Partial differential equations Solvers Sparsity Visualization 65N35 Direct solver Sparse direct solver Randomized linear algebra Helmholtz equation High-order discretization GPU 65N22 65F05 Multifrontal solver
ISSN:	1019-7168, 1572-9044
Online Access:	Get full text
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