Compact and Stable Discontinuous Galerkin Methods for Convection-Diffusion Problems

SIAM Journal on Scientific Computing ◽

10.1137/100817528 ◽

2012 ◽

Vol 34 (1) ◽

pp. A263-A282 ◽

Author(s):

S. Brdar ◽

A. Dedner ◽

R. Klöfkorn

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Convection Diffusion ◽

Diffusion Problems

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hp-adaptive discontinuous Galerkin methods for non-stationary convection–diffusion problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.04.002 ◽

2019 ◽

Vol 78 (9) ◽

pp. 3090-3104 ◽

Author(s):

A. Cangiani ◽

E.H. Georgoulis ◽

S. Giani ◽

S. Metcalfe

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Stationary Convection ◽

Convection Diffusion ◽

Diffusion Problems

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Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015068 ◽

2016 ◽

Vol 50 (4) ◽

pp. 1083-1105 ◽

Author(s):

Haijin Wang ◽

Shiping Wang ◽

Qiang Zhang ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Time Marching ◽

Diffusion Problems

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Superconvergence of Discontinuous Galerkin Methods for Convection-Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-009-9288-y ◽

2009 ◽

Vol 41 (1) ◽

pp. 70-93 ◽

Author(s):

Zuozheng Zhang ◽

Ziqing Xie ◽

Zhimin Zhang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Convection Diffusion ◽

Diffusion Problems

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Implicit–Explicit Local Discontinuous Galerkin Methods with Generalized Alternating Numerical Fluxes for Convection–Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-019-01072-4 ◽

2019 ◽

Vol 81 (3) ◽

pp. 2080-2114 ◽

Author(s):

Haijin Wang ◽

Qiang Zhang ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Numerical Fluxes ◽

Diffusion Problems

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Discontinuous Galerkin methods with interior penalties on graded meshes for 2D singularly perturbed convection–diffusion problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.09.004 ◽

2017 ◽

Vol 111 ◽

pp. 36-48 ◽

Author(s):

Yubo Yang ◽

Peng Zhu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Singularly Perturbed ◽

Galerkin Methods ◽

Convection Diffusion ◽

Graded Meshes ◽

Interior Penalties ◽

Diffusion Problems

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Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drt052 ◽

2013 ◽

Vol 34 (4) ◽

pp. 1578-1597 ◽

Author(s):

A. Cangiani ◽

E. H. Georgoulis ◽

S. Metcalfe

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Convection Diffusion ◽

Diffusion Problems

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Stability analysis and error estimates of local discontinuous Galerkin methods with implicit–explicit time-marching for nonlinear convection–diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.02.067 ◽

2016 ◽

Vol 272 ◽

pp. 237-258 ◽

Author(s):

Haijin Wang ◽

Chi-Wang Shu ◽

Qiang Zhang

Keyword(s):

Stability Analysis ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Time Marching ◽

Diffusion Problems

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The Direct Discontinuous Galerkin Methods with Implicit-Explicit Runge-Kutta Time Marching for Linear Convection-Diffusion Problems

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00114-1 ◽

2021 ◽

Author(s):

Haijin Wang ◽

Qiang Zhang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Convection Diffusion ◽

Time Marching ◽

Runge Kutta ◽

Diffusion Problems

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Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems

Advances in Computational Mathematics ◽

10.1007/s10444-020-09795-x ◽

2020 ◽

Vol 46 (4) ◽

Author(s):

Haitao Leng ◽

Yanping Chen

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Convection Diffusion ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Diffusion Problems

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On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow

Mathematica Bohemica ◽

10.21136/mb.2002.134171 ◽

2002 ◽

Vol 127 (2) ◽

pp. 163-179

Author(s):

V. Dolejší ◽

M. Feistauer ◽

C. Schwab

Keyword(s):

Compressible Flow ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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