A Generic Stabilization Approach for Higher Order Discontinuous Galerkin Methods for Convection Dominated Problems

Journal of Scientific Computing ◽

10.1007/s10915-010-9448-0 ◽

2010 ◽

Vol 47 (3) ◽

pp. 365-388 ◽

Author(s):

Andreas Dedner ◽

Robert Klöfkorn

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Convection Dominated

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Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions

Geometric Analysis and Nonlinear Partial Differential Equations ◽

10.1007/978-3-642-55627-2_30 ◽

2003 ◽

pp. 573-589 ◽

Author(s):

A. Dedner ◽

D. Kröner ◽

C. Rohde ◽

T. Schnitzer ◽

M. Wesenberg

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media

Lecture Notes in Computational Science and Engineering - Challenges in Scientific Computing - CISC 2002 ◽

10.1007/978-3-642-19014-8_1 ◽

2003 ◽

pp. 1-22 ◽

Author(s):

Peter Bastian

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Flow And Transport ◽

Transport In Porous Media

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Higher-order accurate Runge-Kutta discontinuous Galerkin methods for a nonlinear Dirac model

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2006.6.623 ◽

2006 ◽

Vol 6 (3) ◽

pp. 623-640 ◽

Author(s):

Sihong Shao ◽

◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

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Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows

Computers & Fluids ◽

10.1016/j.compfluid.2013.11.030 ◽

2014 ◽

Vol 96 ◽

pp. 377-396 ◽

Author(s):

Jin Seok Park ◽

Chongam Kim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Viscous Flows ◽

Higher Order ◽

Galerkin Methods

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Higher-order and adaptive discontinuous Galerkin methods with shock-capturing applied to transonic turbulent delta wing flow

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3762 ◽

2013 ◽

Vol 72 (8) ◽

pp. 883-894 ◽

Author(s):

R. Hartmann

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Shock Capturing ◽

Galerkin Methods

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Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes II. Surface integration

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109514 ◽

2020 ◽

Vol 416 ◽

pp. 109514 ◽

Author(s):

Hojun You ◽

Chongam Kim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Reconstruction Method ◽

Galerkin Methods ◽

Surface Integration

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Higher order uniformly convergent continuous/discontinuous Galerkin methods for singularly perturbed problems of convection-diffusion type

Applied Numerical Mathematics ◽

10.1016/j.apnum.2013.10.001 ◽

2014 ◽

Vol 76 ◽

pp. 48-59 ◽

Author(s):

Peng Zhu ◽

Shenglan Xie

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Singularly Perturbed ◽

Galerkin Methods ◽

Singularly Perturbed Problems ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent

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Higher-order surface treatment for discontinuous Galerkin methods with applications to aerodynamics

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4050 ◽

2015 ◽

Vol 79 (7) ◽

pp. 323-342 ◽

Author(s):

A. S. Silveira ◽

R. C. Moura ◽

A. F. C. Silva ◽

M. A. Ortega

Keyword(s):

Surface Treatment ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

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Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes III. Code optimization via tensor contraction

Computers & Fluids ◽

10.1016/j.compfluid.2020.104790 ◽

2021 ◽

Vol 215 ◽

pp. 104790

Author(s):

Hojun You ◽

Chongam Kim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Code Optimization ◽

Reconstruction Method ◽

Galerkin Methods ◽

Tensor Contraction

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Direct reconstruction method for discontinuous Galerkin methods on higher-order mixed-curved meshes I. Volume integration

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.015 ◽

2019 ◽

Vol 395 ◽

pp. 223-246 ◽

Author(s):

Hojun You ◽

Chongam Kim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Reconstruction Method ◽

Galerkin Methods ◽

Volume Integration

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