Time discretization of parabolic problems by the discontinuous Galerkin method

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1985190406111 ◽

1985 ◽

Vol 19 (4) ◽

pp. 611-643 ◽

Author(s):

Kenneth Eriksson ◽

Claes Johnson ◽

Vidar Thomée

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Discretization ◽

Parabolic Problems

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A splitting mixed space-time discontinuous Galerkin method for parabolic problems

Procedia Engineering ◽

10.1016/j.proeng.2012.01.1141 ◽

2012 ◽

Vol 31 ◽

pp. 1050-1059 ◽

Author(s):

Siriguleng He ◽

Hong Li ◽

Yang Liu ◽

Zhichao Fang ◽

Jingbo Yang ◽

...

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Parabolic Problems

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Time discretization by the discontinuous Galerkin method

Galerkin Finite Element Methods for Parabolic Problems - Lecture Notes in Mathematics ◽

10.1007/bfb0071799 ◽

2006 ◽

pp. 126-148

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Discretization

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Semi-implicit Time Discretization of the Discontinuous Galerkin Method for the Navier-Stokes Equations

Notes on Numerical Fluid Mechanics and Multidisciplinary Design - ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications ◽

10.1007/978-3-642-03707-8_17 ◽

2010 ◽

pp. 243-255

Author(s):

Vít Dolejší ◽

Martin Holík ◽

Jiří Hozman

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Time Discretization ◽

Navier Stokes ◽

Implicit Time ◽

Navier Stokes Equations

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The discontinuous Galerkin method for semilinear parabolic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1993270100351 ◽

1993 ◽

Vol 27 (1) ◽

pp. 35-54 ◽

Author(s):

D. Estep ◽

S. Larsson

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Parabolic Problems ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problems

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Local Discontinuous Galerkin Method for Parabolic Problems Involving Imperfect Contact Surfaces

44th AIAA Aerospace Sciences Meeting and Exhibit ◽

10.2514/6.2006-590 ◽

2006 ◽

Author(s):

Amit Jain ◽

Ramdev Kanapady ◽

Kumar Tamma

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Parabolic Problems ◽

Imperfect Contact ◽

Local Discontinuous Galerkin ◽

Contact Surfaces

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Theory of the Space-Time Discontinuous Galerkin Method for Nonstationary Parabolic Problems with Nonlinear Convection and Diffusion

SIAM Journal on Numerical Analysis ◽

10.1137/110828903 ◽

2012 ◽

Vol 50 (3) ◽

pp. 1181-1206 ◽

Author(s):

Jan Česenek ◽

Miloslav Feistauer

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Parabolic Problems ◽

Nonlinear Convection ◽

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A discontinuous Galerkin Method for parabolic problems with modified hp-finite element approximation technique

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.05.028 ◽

2006 ◽

Vol 182 (2) ◽

pp. 1405-1417 ◽

Author(s):

Hideaki Kaneko ◽

Kim S. Bey ◽

Gene J.W. Hou

Keyword(s):

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Finite Element Approximation ◽

Parabolic Problems ◽

Approximation Technique ◽

Element Approximation ◽

Hp Finite Element

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ERROR ESTIMATES FOR A SEMI-DISCRETE MIXED DISCONTINUOUS GALERKIN METHOD WITH AN INTERIOR PENALTY FOR PARABOLIC PROBLEMS

East Asian Mathematical Journal ◽

10.7858/eamj.2016.011 ◽

2016 ◽

Vol 32 (1) ◽

pp. 101-115

Author(s):

Mi Ray Ohm ◽

Hyun Young Lee ◽

Jun Yong Shin

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Parabolic Problems ◽

Interior Penalty

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The Heterogeneous Multiscale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems

Multiscale Modeling and Simulation ◽

10.1137/040612622 ◽

2005 ◽

Vol 3 (4) ◽

pp. 871-894 ◽

Author(s):

Shanqin Chen ◽

Weinan E ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Multiscale Method ◽

Parabolic Problems ◽

Heterogeneous Multiscale

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A two-grid discontinuous Galerkin method for a kind of nonlinear parabolic problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.09.067 ◽

2019 ◽

Vol 346 ◽

pp. 96-108

Author(s):

Jiming Yang ◽

Xiaoqing Xing

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic

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