On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113487 ◽

2021 ◽

Vol 393 ◽

pp. 113487

Author(s):

Derk Frerichs ◽

Volker John

Keyword(s):

Steady State ◽

Discontinuous Galerkin ◽

Diffusion Equations ◽

Convection Diffusion ◽

Spurious Oscillations ◽

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Analysis of direct discontinuous Galerkin methods for multi-dimensional convection–diffusion equations

Numerische Mathematik ◽

10.1007/s00211-021-01183-x ◽

2021 ◽

Vol 147 (4) ◽

pp. 839-867

Author(s):

Hailiang Liu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion

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An Adaptive Staggered Discontinuous Galerkin Method for the Steady State Convection–Diffusion Equation

Journal of Scientific Computing ◽

10.1007/s10915-018-0695-9 ◽

2018 ◽

Vol 77 (3) ◽

pp. 1490-1518 ◽

Author(s):

Jie Du ◽

Eric Chung

Keyword(s):

Steady State ◽

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Staggered Discontinuous Galerkin Method

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A positivity-preserving high order discontinuous Galerkin scheme for convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.04.002 ◽

2018 ◽

Vol 366 ◽

pp. 120-143 ◽

Author(s):

Sashank Srinivasan ◽

Jonathan Poggie ◽

Xiangxiong Zhang

Keyword(s):

Discontinuous Galerkin ◽

Diffusion Equations ◽

Positivity Preserving ◽

Galerkin Scheme ◽

Convection Diffusion ◽

Discontinuous Galerkin Scheme

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An Explicit Finite Element Method for Convection-Dominated Steady State Convection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/0728040 ◽

1991 ◽

Vol 28 (3) ◽

pp. 744-759 ◽

Author(s):

Gerard R. Richter

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Steady State ◽

Diffusion Equations ◽

Explicit Finite Element Method ◽

Explicit Finite Element ◽

Convection Diffusion ◽

Convection Dominated ◽

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A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9637-0 ◽

2012 ◽

Vol 54 (2-3) ◽

pp. 663-683 ◽

Author(s):

Jue Yan

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Diffusion Equations ◽

Convection Diffusion

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Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions

Mathematics of Computation ◽

10.1090/s0025-5718-2012-02586-5 ◽

2012 ◽

Vol 81 (280) ◽

pp. 1929-1950 ◽

Author(s):

Liangyue Ji ◽

Yan Xu ◽

Jennifer K. Ryan

Keyword(s):

Discontinuous Galerkin ◽

Diffusion Equations ◽

Accuracy Enhancement ◽

Convection Diffusion ◽

Multiple Dimensions

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Stability analysis and error estimates of local discontinuous Galerkin methods for convection–diffusion equations on overlapping meshes

BIT Numerical Mathematics ◽

10.1007/s10543-019-00757-4 ◽

2019 ◽

Vol 59 (4) ◽

pp. 853-876 ◽

Author(s):

Jie Du ◽

Yang Yang ◽

Eric Chung

Keyword(s):

Stability Analysis ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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Spacetime discontinuous Galerkin methods for convection-diffusion equations

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-016-0169-3 ◽

2016 ◽

Vol 47 (2) ◽

pp. 561-573 ◽

Author(s):

Sandra May

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion

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Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations

Computational Optimization and Applications ◽

10.1007/s10589-014-9691-7 ◽

2014 ◽

Vol 62 (1) ◽

pp. 291-321 ◽

Author(s):

Hamdullah Yücel ◽

Peter Benner

Keyword(s):

Optimal Control ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Optimal Control Problems ◽

Diffusion Equations ◽

Control Problems ◽

Galerkin Methods ◽

Constrained Optimal Control ◽

Convection Diffusion

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High Order Maximum-Principle-Preserving Discontinuous Galerkin Method for Convection-Diffusion Equations

SIAM Journal on Scientific Computing ◽

10.1137/140965326 ◽

2015 ◽

Vol 37 (2) ◽

pp. A583-A608 ◽

Author(s):

Tao Xiong ◽

Jing-Mei Qiu ◽

Zhengfu Xu

Keyword(s):

Maximum Principle ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Convection Diffusion

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