Multilevel Preconditioning of Two-dimensional Elliptic Problems Discretized by a Class of Discontinuous Galerkin Methods

Johannes K. Kraus; Satyendra K. Tomar

doi:10.1137/060667372

Multilevel Preconditioning of Two-dimensional Elliptic Problems Discretized by a Class of Discontinuous Galerkin Methods

SIAM Journal on Scientific Computing ◽

10.1137/060667372 ◽

2008 ◽

Vol 30 (2) ◽

pp. 684-706 ◽

Cited By ~ 7

Author(s):

Johannes K. Kraus ◽

Satyendra K. Tomar

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Two Dimensional ◽

Multilevel Preconditioning

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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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Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0226 ◽

2021 ◽

Vol 30 (4) ◽

pp. 1150-1184

Author(s):

global sci

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Two Dimensional ◽

Dirac Equations ◽

Nonlinear Dirac Equations

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Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-06-01823-0 ◽

2006 ◽

Vol 75 (255) ◽

pp. 1067-1086 ◽

Cited By ~ 3

Author(s):

Johnny Guzmán

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Pointwise Error ◽

Pointwise Error Estimates

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On the design of discontinuous Galerkin methods for elliptic problems based on hybrid formulations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2013.05.004 ◽

2013 ◽

Vol 263 ◽

pp. 158-168 ◽

Cited By ~ 6

Author(s):

Ramon Codina ◽

Santiago Badia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods

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Entropy stable spacetime discontinuous Galerkin methods for the two-dimensional compressible Navier–Stokes equations

Communications in Mathematical Sciences ◽

10.4310/cms.2018.v16.n8.a3 ◽

2018 ◽

Vol 16 (8) ◽

pp. 2095-2124

Author(s):

Andreas Hiltebrand ◽

Sandra May

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Methods ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Entropy Stable

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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 ◽

Cited By ~ 35

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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hp -Adaptive composite discontinuous Galerkin methods for elliptic problems on complicated domains

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21872 ◽

2014 ◽

Vol 30 (4) ◽

pp. 1342-1367 ◽

Cited By ~ 15

Author(s):

Stefano Giani ◽

Paul Houston

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Adaptive Composite

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Local error estimates of mixed discontinuous Galerkin methods for elliptic problems

Journal of Numerical Mathematics ◽

10.1515/1569395041172926 ◽

2004 ◽

Vol 12 (1) ◽

pp. 1-21 ◽

Cited By ~ 1

Author(s):

H. Chen

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Local Error ◽

Galerkin Methods

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Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations

SIAM Journal on Numerical Analysis ◽

10.1137/140996203 ◽

2015 ◽

Vol 53 (4) ◽

pp. 1651-1671 ◽

Cited By ~ 32

Author(s):

Waixiang Cao ◽

Chi-Wang Shu ◽

Yang Yang ◽

Zhimin Zhang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Equations ◽

Galerkin Methods ◽

Two Dimensional

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Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons

SIAM Journal on Numerical Analysis ◽

10.1137/17m1120634 ◽

2017 ◽

Vol 55 (5) ◽

pp. 2490-2521 ◽

Cited By ~ 3

Author(s):

Fabian Müller ◽

Dominik Schötzau ◽

Christoph Schwab

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Galerkin Methods ◽

Interior Penalty

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