Parallel subdomain solver strategies for the algebraic additive Schwarz preconditioner

Parallel Computing ◽

10.1016/j.parco.2016.05.011 ◽

2016 ◽

Vol 57 ◽

pp. 137-153

Author(s):

Radu Popescu ◽

Michael A. Heroux ◽

Simone Deparis

Keyword(s):

Additive Schwarz ◽

Schwarz Preconditioner

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Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems

BIT Numerical Mathematics ◽

10.1007/s10543-015-0581-x ◽

2015 ◽

Vol 56 (3) ◽

pp. 967-993 ◽

Author(s):

L. Marcinkowski ◽

T. Rahman ◽

A. Loneland ◽

J. Valdman

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Element Discretization ◽

Additive Schwarz ◽

Finite Volume Element ◽

Schwarz Preconditioner

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A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-016-0259-9 ◽

2016 ◽

Vol 70 (2) ◽

pp. 608-630 ◽

Author(s):

Paola F. Antonietti ◽

Marco Sarti ◽

Marco Verani ◽

Ludmil T. Zikatanov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Additive Schwarz ◽

Galerkin Approximations ◽

Schwarz Preconditioner

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A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations

Domain Decomposition Methods 10 - Contemporary Mathematics ◽

10.1090/conm/218/03046 ◽

1998 ◽

pp. 479-485 ◽

Author(s):

Xiao-Chuan Cai ◽

Charbel Farhat ◽

Marcus Sarkis

Keyword(s):

3D Flow ◽

Flow Simulations ◽

Additive Schwarz ◽

Schwarz Preconditioner

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A Two-Level Additive Schwarz Preconditioner for C 0 Interior Penalty Methods for Cahn-Hilliard Equations

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XX ◽

10.1007/978-3-642-35275-1_14 ◽

2013 ◽

pp. 135-142

Author(s):

Kening Wang

Keyword(s):

Penalty Methods ◽

Interior Penalty ◽

Additive Schwarz ◽

Interior Penalty Methods ◽

Schwarz Preconditioner

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An overlapping additive Schwarz preconditioner for the Laplace-Beltrami equation using spherical splines

Advances in Computational Mathematics ◽

10.1007/s10444-011-9200-9 ◽

2011 ◽

Vol 37 (1) ◽

pp. 93-121 ◽

Author(s):

Duong Pham ◽

Thanh Tran ◽

Simon Crothers

Keyword(s):

Beltrami Equation ◽

Additive Schwarz ◽

Schwarz Preconditioner

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Low-Rank Update of the Restricted Additive Schwarz Preconditioner for Nonlinear Systems

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXI ◽

10.1007/978-3-319-05789-7_82 ◽

2014 ◽

pp. 849-857

Author(s):

Laurent Berenguer ◽

Damien Tromeur-Dervout

Keyword(s):

Nonlinear Systems ◽

Low Rank ◽

Additive Schwarz ◽

Low Rank Update ◽

Schwarz Preconditioner

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An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems

Journal of Numerical Mathematics ◽

10.1515/1569395042571265 ◽

2004 ◽

Vol 12 (4) ◽

Author(s):

T. Tran ◽

E.P. Stephan

Keyword(s):

Boundary Element ◽

Additive Schwarz ◽

Crack Problems ◽

Schwarz Preconditioner

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A Proposal for a Dynamically Adapted Inexact Additive Schwarz Preconditioner

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XVI ◽

10.1007/978-3-540-34469-8_41 ◽

2007 ◽

pp. 341-345

Author(s):

Marcus Sarkis ◽

Daniel B. Szyld

Keyword(s):

Additive Schwarz ◽

Schwarz Preconditioner

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

Mathematics of Computation ◽

10.1090/mcom/3510 ◽

2020 ◽

Vol 89 (325) ◽

pp. 2047-2083

Author(s):

Paola F. Antonietti ◽

Paul Houston ◽

Giorgio Pennesi ◽

Endre Süli

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Massively Parallel ◽

Galerkin Methods ◽

Additive Schwarz ◽

Schwarz Preconditioner

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An additive Schwarz preconditioner for the mortar-type rotated FEM for elliptic problems with discontinuous coefficients

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.11.006 ◽

2009 ◽

Vol 59 (7) ◽

pp. 1657-1667 ◽

Author(s):

Feng Wang ◽

Jinru Chen ◽

Wei Xu ◽

Zhilin Li

Keyword(s):

Elliptic Problems ◽

Discontinuous Coefficients ◽

Additive Schwarz ◽

Schwarz Preconditioner

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