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

Yingzhi Liu; Yinnian He

doi:10.1007/s10915-020-01257-2

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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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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A Multilevel Method for Discontinuous Galerkin Approximation of Three-dimensional Elliptic Problems

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

10.1007/978-3-540-75199-1_14 ◽

2008 ◽

pp. 155-164

Author(s):

Johannes K. Kraus ◽

Satyendra K. Tomar

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Three Dimensional ◽

Elliptic Problems ◽

Multilevel Method

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A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillating coefficients

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.08.028 ◽

2017 ◽

Vol 311 ◽

pp. 599-617 ◽

Cited By ~ 2

Author(s):

Hyea Hyun Kim ◽

Eric T. Chung ◽

Chenxiao Xu

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Oscillating Coefficients

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

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902405217 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2374-2399 ◽

Cited By ~ 200

Author(s):

Ohannes A. Karakashian ◽

Frederic Pascal

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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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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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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A multilevel method for discontinuous Galerkin approximation of three-dimensional anisotropic elliptic problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.544 ◽

2008 ◽

Vol 15 (5) ◽

pp. 417-438 ◽

Cited By ~ 13

Author(s):

J. K. Kraus ◽

S. K. Tomar

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Three Dimensional ◽

Elliptic Problems ◽

Multilevel Method

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Cited By ~ 5

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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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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A hybridizable direct discontinuous Galerkin method for elliptic problems

Boundary Value Problems ◽

10.1186/s13661-016-0700-x ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Huiqiang Yue ◽

Jian Cheng ◽

Tiegang Liu ◽

Vladimir Shaydurov

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems

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