Analysis of a family of continuous–discontinuous Galerkin FEM for convection–diffusion problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.08.004 ◽

2016 ◽

Vol 110 ◽

pp. 93-109 ◽

Author(s):

Sebastian Franz

Keyword(s):

Discontinuous Galerkin ◽

Convection Diffusion ◽

Discontinuous Galerkin Fem ◽

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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A robust discontinuous Galerkin method for solving convection-diffusion problems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-008-8036-7 ◽

2008 ◽

Vol 24 (3) ◽

pp. 483-496 ◽

Author(s):

Zuo-zheng Zhang ◽

Zi-qing Xie ◽

Xia Tao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Diffusion Problems

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Implicit–Explicit Backward Difference Formulae Discontinuous Galerkin Finite Element Methods for Convection–Diffusion Problems

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_99 ◽

2010 ◽

pp. 921-928

Author(s):

Miloslav Vlasák ◽

Vít Dolejší

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Diffusion Problems

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Ana posteriorierror bound for discontinuous Galerkin approximations of convection–diffusion problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx065 ◽

2017 ◽

Vol 39 (1) ◽

pp. 34-60

Author(s):

Emmanuil H Georgoulis ◽

Edward Hall ◽

Charalambos Makridakis

Keyword(s):

Discontinuous Galerkin ◽

Convection Diffusion ◽

Galerkin Approximations ◽

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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Superconvergence of the local discontinuous Galerkin method for nonlinear convection-diffusion problems

Journal of Inequalities and Applications ◽

10.1186/s13660-017-1489-6 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Hui Bi ◽

Chengeng Qian

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Diffusion Problems

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Analysis of a Multiscale Discontinuous Galerkin Method for Convection‐Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/050640382 ◽

2006 ◽

Vol 44 (4) ◽

pp. 1420-1440 ◽

Author(s):

A. Buffa ◽

T. J. R. Hughes ◽

G. Sangalli

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Diffusion Problems

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Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions

Applications of Mathematics ◽

10.1007/s10492-010-0012-x ◽

2010 ◽

Vol 55 (5) ◽

pp. 353-372 ◽

Author(s):

Oto Havle ◽

Vít Dolejší ◽

Miloslav Feistauer

Keyword(s):

Boundary Conditions ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Diffusion Problems

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