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 ◽

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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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 ◽

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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Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/05063979x ◽

2007 ◽

Vol 45 (2) ◽

pp. 641-665 ◽

Author(s):

Ohannes A. Karakashian ◽

Frederic Pascal

Keyword(s):

Discontinuous Galerkin ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Approximations ◽

Second Order Elliptic Problems

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A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-009-9286-0 ◽

2009 ◽

Vol 40 (1-3) ◽

pp. 340-359 ◽

Author(s):

Carlo Lovadina ◽

L. Donatella Marini

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations ◽

Second Order Elliptic Problems

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Two-Level Additive Schwarz Methods for Discontinuous Galerkin Approximations of the Biharmonic Equation

Journal of Scientific Computing ◽

10.1007/s10915-017-0453-4 ◽

2017 ◽

Vol 74 (1) ◽

pp. 573-604

Author(s):

O. Karakashian ◽

C. Collins

Keyword(s):

Discontinuous Galerkin ◽

Biharmonic Equation ◽

Schwarz Methods ◽

Additive Schwarz ◽

Galerkin Approximations ◽

Additive Schwarz Methods

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Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

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Supercloseness of Primal-Dual Galerkin Approximations for Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-017-0538-0 ◽

2017 ◽

Vol 75 (1) ◽

pp. 376-394

Author(s):

Bernardo Cockburn ◽

Manuel A. Sánchez ◽

Chunguang Xiong

Keyword(s):

Elliptic Problems ◽

Second Order ◽

Galerkin Approximations ◽

Primal Dual ◽

Second Order Elliptic Problems

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Additive Schwarz Methods for DG Discretization of Elliptic Problems with Discontinuous Coefficient

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

10.1007/978-3-319-18827-0_15 ◽

2016 ◽

pp. 167-175 ◽

Author(s):

Maksymilian Dryja ◽

Piotr Krzyżanowski

Keyword(s):

Elliptic Problems ◽

Discontinuous Coefficient ◽

Schwarz Methods ◽

Additive Schwarz ◽

Additive Schwarz Methods

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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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Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903421527 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1146-1166 ◽

Author(s):

Zhangxin Chen ◽

Hongsen Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates ◽

Second Order Elliptic Problems

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A spectral multiscale hybridizable discontinuous Galerkin method for second order elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.09.036 ◽

2015 ◽

Vol 292 ◽

pp. 243-256 ◽

Author(s):

Yalchin Efendiev ◽

Raytcho Lazarov ◽

Minam Moon ◽

Ke Shi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Second Order ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method ◽

Second Order Elliptic Problems

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