Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1906-m2019-0040 ◽

2020 ◽

Vol 38 (6) ◽

pp. 809-837

Author(s):

Xudong Wang & Weihua Deng

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion

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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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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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Superconvergence of local discontinuous Galerkin methods for one-dimensional convection–diffusion equations

Computers & Structures ◽

10.1016/j.compstruc.2008.11.012 ◽

2009 ◽

Vol 87 (11-12) ◽

pp. 630-641 ◽

Author(s):

Yingda Cheng ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

One Dimensional ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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Alternating evolution discontinuous Galerkin methods for convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2015.12.017 ◽

2016 ◽

Vol 307 ◽

pp. 574-592 ◽

Author(s):

Hailiang Liu ◽

Michael Pollack

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion

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Stochastic Discontinuous Galerkin Methods with Low–Rank Solvers for Convection Diffusion Equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.10.007 ◽

2021 ◽

Author(s):

Pelin Çiloğlu ◽

Hamdullah Yücel

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Low Rank ◽

Galerkin Methods ◽

Convection Diffusion

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Discontinuous Galerkin methods for convection-diffusion equations and applications in petroleum engineering

10.37099/mtu.dc.etdr/786 ◽

2019 ◽

Author(s):

Nattaporn Chuenjarern

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Petroleum Engineering ◽

Galerkin Methods ◽

Convection Diffusion

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Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2015.12.039 ◽

2016 ◽

Vol 308 ◽

pp. 198-217 ◽

Author(s):

Zheng Chen ◽

Hongying Huang ◽

Jue Yan

Keyword(s):

Maximum Principle ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Diffusion Equations ◽

Galerkin Methods ◽

Triangular Meshes ◽

Third Order ◽

Convection Diffusion

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On the spectrum of discontinuous Galerkin methods for linear convection-diffusion equations

10.31274/etd-180810-864 ◽

2014 ◽

Author(s):

Diana Hay

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion

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