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An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids

Abstract:

In this article we design and analyze a class of two-level non-overlapping additive Schwarz preconditioners for the solution of the linear system of equations stemming from discontinuous Galerkin discretizations of second-order elliptic partial differential equations on polytopic meshes. The preconditioner is based on a coarse space and a non-overlapping partition of the computational domain where local solvers are applied in parallel. In particular, the coarse space can potentially be chosen...

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Publication status:
Published
Peer review status:
Peer reviewed

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Files:
  • (Accepted manuscript, pdf, 1.3MB)
Publisher copy:
10.1090/mcom/3510

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
American Mathematical Society Publisher's website
Journal:
Mathematics of Computation Journal website
Volume:
89
Pages:
2046-2083
Publication date:
2020-02-18
Acceptance date:
2019-11-07
DOI:
EISSN:
1088-6842
ISSN:
0025-5718
Source identifiers:
991380
Language:
English
Keywords:
Pubs id:
pubs:991380
UUID:
uuid:272d08ea-4779-447a-9851-f3f97ca1a00b
Local pid:
pubs:991380
Deposit date:
2019-10-12

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