A one-dimensional local discontinuous Galerkin Richards’ equation solution with dual-time stepping

Computational Geosciences ◽

10.1007/s10596-021-10098-3 ◽

2021 ◽

Author(s):

Yilong Xiao ◽

Ethan J. Kubatko ◽

Colton J. Conroy

Keyword(s):

Discontinuous Galerkin ◽

Richards Equation ◽

Equation Solution ◽

One Dimensional ◽

Time Stepping ◽

Local Discontinuous Galerkin ◽

Dual Time Stepping

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A fully discrete local discontinuous Galerkin method for one-dimensional time-fractional Fisher's equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.866233 ◽

2014 ◽

Vol 91 (9) ◽

pp. 2021-2038 ◽

Author(s):

Xindong Zhang ◽

Yinnian He ◽

Leilei Wei ◽

Bo Tang ◽

Shaoli Wang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

One Dimensional ◽

Fisher’S Equation ◽

Fully Discrete ◽

Local Discontinuous Galerkin ◽

Fisher's Equation

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Adaptive local discontinuous Galerkin approximation to Richards’ equation

Advances in Water Resources ◽

10.1016/j.advwatres.2007.02.007 ◽

2007 ◽

Vol 30 (9) ◽

pp. 1883-1901 ◽

Author(s):

H. Li ◽

M.W. Farthing ◽

C.T. Miller

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Richards Equation ◽

Local Discontinuous Galerkin

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On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem

Journal of Scientific Computing ◽

10.1007/s10915-020-01335-5 ◽

2020 ◽

Vol 85 (2) ◽

Author(s):

P. Castillo ◽

S. Gómez

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Problem ◽

One Dimensional ◽

Local Discontinuous Galerkin

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Local discontinuous Galerkin approximations to Richards’ equation

Advances in Water Resources ◽

10.1016/j.advwatres.2006.04.011 ◽

2007 ◽

Vol 30 (3) ◽

pp. 555-575 ◽

Author(s):

H. Li ◽

M.W. Farthing ◽

C.N. Dawson ◽

C.T. Miller

Keyword(s):

Discontinuous Galerkin ◽

Richards Equation ◽

Local Discontinuous Galerkin ◽

Galerkin Approximations

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The hp- and h-versions of the discontinuous and local discontinuous Galerkin methods for one-dimensional singularly perturbed models

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.08.001 ◽

2011 ◽

Vol 61 (12) ◽

pp. 1223-1236 ◽

Author(s):

Kassem Mustapha

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Singularly Perturbed ◽

Galerkin Methods ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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Local discontinuous Galerkin methods for moment models in device simulations: formulation and one dimensional results

Electrical Performance of Electronic Packaging IWCE-04 ◽

10.1109/iwce.2004.1407380 ◽

2004 ◽

Author(s):

Yunxian Liu ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

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A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0074 ◽

2018 ◽

Vol 24 (1) ◽

Author(s):

Ruihan Guo ◽

Yan Xu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Phase Field ◽

Local Discontinuous Galerkin Method ◽

Time Stepping ◽

Local Discontinuous Galerkin ◽

Adaptive Time ◽

Adaptive Time Stepping

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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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Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0362-6 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 1290-1315 ◽

Author(s):

Lingling Zhou ◽

Yan Xu ◽

Zhimin Zhang ◽

Waixiang Cao

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Dimensional ◽

Local Discontinuous Galerkin

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Optimal energy-conserving local discontinuous Galerkin method for the one-dimensional sine-Gordon equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1105364 ◽

2015 ◽

Vol 94 (2) ◽

pp. 316-344 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Gordon Equation ◽

Local Discontinuous Galerkin Method ◽

Sine Gordon Equation ◽

One Dimensional ◽

Local Discontinuous Galerkin ◽

Energy Conserving ◽

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