Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method

Qiang Zhang; Zi-Long Wu

doi:10.1007/s10915-008-9223-7

Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method

Journal of Scientific Computing ◽

10.1007/s10915-008-9223-7 ◽

2008 ◽

Vol 38 (2) ◽

pp. 127-148 ◽

Cited By ~ 34

Author(s):

Qiang Zhang ◽

Zi-Long Wu

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Porous Medium ◽

Porous Medium Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Local Discontinuous Galerkin ◽

Medium Equation ◽

Discontinuous Galerkin Finite Element

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Numerical simulation of impulse waves in Cosserat media based on a time‐discontinuous Galerkin Finite Element method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6711 ◽

2021 ◽

Author(s):

Chenxi Xiu ◽

Xihua Chu ◽

Ji Wan ◽

Jiao Wang

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Impulse Waves ◽

Cosserat Media ◽

Element Method

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Numerical Simulation of Highly Underexpanded Axisymmetric Jet With Runge-Kutta Discontinuous Galerkin Finite Element Method

Journal of Hydrodynamics ◽

10.1016/s1001-6058(08)60103-1 ◽

2008 ◽

Vol 20 (5) ◽

pp. 617-623 ◽

Cited By ~ 5

Author(s):

Er-yun Chen ◽

Da-wei Ma ◽

Gui-gao Le ◽

kai Wang ◽

Gai-ping Zhao

Keyword(s):

Numerical Simulation ◽

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Axisymmetric Jet ◽

Discontinuous Galerkin Finite Element ◽

Runge Kutta ◽

Element Method

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Parabolic Heat Conduction Specialized Applications Involving Imperfect Contact Surfaces: Local Discontinuous Galerkin Finite Element Method—Part 2

Journal of Thermal Stresses ◽

10.1080/01495731003658788 ◽

2010 ◽

Vol 33 (4) ◽

pp. 344-355 ◽

Cited By ~ 3

Author(s):

A. Jain ◽

K. K. Tamma

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Heat Conduction ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Imperfect Contact ◽

Galerkin Finite Element ◽

Local Discontinuous Galerkin ◽

Discontinuous Galerkin Finite Element ◽

Contact Surfaces

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Elliptic Heat Conduction Specialized Applications Involving High Gradients: Local Discontinuous Galerkin Finite Element Method—Part 1

Journal of Thermal Stresses ◽

10.1080/01495731003656998 ◽

2010 ◽

Vol 33 (4) ◽

pp. 335-343 ◽

Cited By ~ 3

Author(s):

A. Jain ◽

K. K. Tamma

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Heat Conduction ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Local Discontinuous Galerkin ◽

Discontinuous Galerkin Finite Element ◽

High Gradients ◽

Element Method

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The local discontinuous Galerkin finite element method for a class of convection–diffusion equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2012.07.030 ◽

2013 ◽

Vol 14 (1) ◽

pp. 734-752 ◽

Cited By ~ 10

Author(s):

Wenjuan Wu ◽

Xinlong Feng ◽

Demin Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Diffusion Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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3-D Numerical Modeling for the Magnetization of Superconductors Using a Local Discontinuous Galerkin Finite Element Method

IEEE Transactions on Magnetics ◽

10.1109/tmag.2019.2907665 ◽

2019 ◽

Vol 55 (8) ◽

pp. 1-11

Author(s):

Yann-Meing Law ◽

Damien Tageddine ◽

Steven Dufour

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Modeling ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Local Discontinuous Galerkin ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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The local discontinuous Galerkin finite element method for Burger’s equation

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.07.016 ◽

2011 ◽

Vol 54 (11-12) ◽

pp. 2943-2954 ◽

Cited By ~ 31

Author(s):

Long Shao ◽

Xinlong Feng ◽

Yinnian He

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Burger's Equation ◽

Local Discontinuous Galerkin ◽

Burger’S Equation ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation

Journal of Scientific Computing ◽

10.1007/s10915-009-9308-y ◽

2009 ◽

Vol 41 (3) ◽

pp. 436-460 ◽

Cited By ~ 27

Author(s):

Fuzheng Gao ◽

Jianxian Qiu ◽

Qiang Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Sobolev Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Local Discontinuous Galerkin ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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An efficient discontinuous Galerkin finite element method with nested domain decomposition for simulations of microresistivity imaging

Journal of Applied Geophysics ◽

10.1016/j.jappgeo.2015.01.006 ◽

2015 ◽

Vol 114 ◽

pp. 116-122 ◽

Cited By ~ 14

Author(s):

Jiefu Chen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Domain Decomposition ◽

Discontinuous Galerkin ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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Discontinuous Galerkin Finite Element Method for Euler and Navier-Stokes Equations

AIAA Journal ◽

10.2514/3.49117 ◽

1993 ◽

Vol 31 (11) ◽

pp. 2016-2026 ◽

Cited By ~ 19

Author(s):

San-Yih Lin ◽

Yan-Shin Chin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Navier Stokes Equations ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Element Method

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