A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces

SIAM Journal on Scientific Computing ◽

10.1137/19m1266964 ◽

2021 ◽

Vol 43 (3) ◽

pp. A1907-A1928

Author(s):

Hussam Al Daas ◽

Laura Grigori ◽

Pierre Jolivet ◽

Pierre-Henri Tournier

Keyword(s):

Schwarz Preconditioner

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A Two-Level Schwarz Preconditioner for Heterogeneous Problems

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

10.1007/978-3-642-35275-1_8 ◽

2013 ◽

pp. 87-94

Author(s):

V. Dolean ◽

F. Nataf ◽

R. Scheichl ◽

N. Spillane

Keyword(s):

Schwarz Preconditioner

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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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Parallel multiplicative Schwarz preconditioner for solving nonselfadjoint elliptic problems

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1822995 ◽

2020 ◽

pp. 1-19

Author(s):

Ruyi Zhang ◽

Shishun Li

Keyword(s):

Elliptic Problems ◽

Schwarz Preconditioner

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Neutron transport criticality calculations using a parallel monolithic multilevel Schwarz preconditioner together with a nonlinear diffusion acceleration method

Annals of Nuclear Energy ◽

10.1016/j.anucene.2020.107342 ◽

2020 ◽

Vol 141 ◽

pp. 107342

Author(s):

Fande Kong

Keyword(s):

Nonlinear Diffusion ◽

Neutron Transport ◽

Acceleration Method ◽

Schwarz Preconditioner

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Applying the FROSch Overlapping Schwarz Preconditioner to Dislocation Mechanics in Deal.II

PAMM ◽

10.1002/pamm.201900337 ◽

2019 ◽

Vol 19 (1) ◽

Author(s):

Alexander Heinlein ◽

Oliver Rheinbach ◽

Friederike Röver ◽

Stefan Sandfeld ◽

Dominik Steinberger

Keyword(s):

Dislocation Mechanics ◽

Schwarz Preconditioner ◽

Overlapping Schwarz

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Overlapping Schwarz preconditioner for the mixed formulation of plane elasticity

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.09.032 ◽

2005 ◽

Vol 54 (2) ◽

pp. 292-309 ◽

Author(s):

Yanqiu Wang

Keyword(s):

Plane Elasticity ◽

Mixed Formulation ◽

Schwarz Preconditioner ◽

Overlapping Schwarz

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Convergence of Krylov subspace solvers with Schwarz preconditioner for the exterior Maxwell problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.08.027 ◽

2017 ◽

Vol 74 (11) ◽

pp. 2691-2709

Author(s):

Eric Darrigrand ◽

Nabil Gmati ◽

Rania Rais

Keyword(s):

Krylov Subspace ◽

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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