Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems

Paola F. Antonietti; Blanca Ayuso

doi:10.1051/m2an:2008012

Multiplicative Schwarz Methods for Discontinuous Galerkin Approximations of Elliptic Problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2008012 ◽

2008 ◽

Vol 42 (3) ◽

pp. 443-469 ◽

Cited By ~ 22

Author(s):

Paola F. Antonietti ◽

Blanca Ayuso

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Schwarz Methods ◽

Galerkin Approximations

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Two-level additive Schwarz methods for discontinuous Galerkin approximations of second-order elliptic problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drw061 ◽

2016 ◽

pp. drw061 ◽

Cited By ~ 1

Author(s):

Ohannes Karakashian ◽

Craig Collins

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Second Order ◽

Schwarz Methods ◽

Additive Schwarz ◽

Galerkin Approximations ◽

Second Order Elliptic Problems ◽

Additive Schwarz Methods

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Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2007006 ◽

2007 ◽

Vol 41 (1) ◽

pp. 21-54 ◽

Cited By ~ 47

Author(s):

Paola F. Antonietti ◽

Blanca Ayuso

Keyword(s):

Domain Decomposition ◽

Discontinuous Galerkin ◽

Elliptic Problems ◽

Galerkin Approximations

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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 ◽

Cited By ~ 9

Author(s):

Paola F. Antonietti ◽

Marco Sarti ◽

Marco Verani ◽

Ludmil T. Zikatanov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

High Order ◽

Additive Schwarz ◽

Galerkin Approximations ◽

Schwarz Preconditioner

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Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900378480 ◽

2001 ◽

Vol 39 (4) ◽

pp. 1343-1365 ◽

Cited By ~ 67

Author(s):

Xiaobing Feng ◽

Ohannes A. Karakashian

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Second Order ◽

Schwarz Methods ◽

Additive Schwarz ◽

Second Order Elliptic Problems ◽

Additive Schwarz Methods

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Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients

Mathematics of Computation ◽

10.1090/s0025-5718-2013-02760-3 ◽

2013 ◽

Vol 83 (287) ◽

pp. 1083-1120 ◽

Cited By ~ 11

Author(s):

Blanca Ayuso de Dios ◽

Michael Holst ◽

Yunrong Zhu ◽

Ludmil Zikatanov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Multilevel Preconditioners ◽

Galerkin Approximations

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An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drp023 ◽

2009 ◽

Vol 31 (1) ◽

pp. 281-298 ◽

Cited By ~ 28

Author(s):

E. H. Georgoulis ◽

P. Houston ◽

J. Virtanen

Keyword(s):

Discontinuous Galerkin ◽

Fourth Order ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Error Indicator ◽

Galerkin Approximations

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Class of Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems

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

10.1007/978-3-540-75199-1_19 ◽

2008 ◽

pp. 185-192 ◽

Cited By ~ 1

Author(s):

Paola F. Antonietti ◽

Blanca Ayuso

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Galerkin Approximations

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Two-Level Schwarz Methods for a Discontinuous Galerkin Approximation of Elliptic Problems with Jump Coefficients

Journal of Scientific Computing ◽

10.1007/s10915-020-01257-2 ◽

2020 ◽

Vol 84 (1) ◽

Author(s):

Yingzhi Liu ◽

Yinnian He

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Schwarz Methods

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Multilevel Preconditioners for Discontinuous Galerkin Approximations of Elliptic Problems with Jump Coefficients

10.21236/ada580829 ◽

2010 ◽

Cited By ~ 2

Author(s):

Blanca A. de Dios ◽

Michael Holst ◽

Yunrong Zhu ◽

Ludmil Zikatanov

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Multilevel Preconditioners ◽

Galerkin Approximations

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Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20386 ◽

2009 ◽

Vol 25 (4) ◽

pp. 952-971 ◽

Cited By ~ 20

Author(s):

Raytcho Lazarov ◽

Sergey Repin ◽

Satyendra K. Tomar

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations

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