A Discontinuous Galerkin Method with Penalty for One-Dimensional Nonlocal Diffusion Problems

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-019-00024-x ◽

2019 ◽

Vol 2 (1) ◽

pp. 31-55 ◽

Author(s):

Qiang Du ◽

Lili Ju ◽

Jianfang Lu ◽

Xiaochuan Tian

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Nonlocal Diffusion ◽

One Dimensional ◽

Diffusion Problems

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A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems

Mathematics of Computation ◽

10.1090/mcom/3333 ◽

2018 ◽

Vol 88 (315) ◽

pp. 123-147 ◽

Author(s):

Qiang Du ◽

Lili Ju ◽

Jianfang Lu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Time Dependent ◽

Nonlocal Diffusion ◽

One Dimensional ◽

Diffusion Problems

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The direct discontinuous Galerkin method with symmetric structure for diffusion problems

10.31274/etd-180810-75 ◽

2012 ◽

Author(s):

Chad Nathaniel Vidden

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Symmetric Structure ◽

Diffusion Problems

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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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Hermite WENO schemes and their application as limiters for Runge–Kutta discontinuous Galerkin method: one-dimensional case

Journal of Computational Physics ◽

10.1016/j.jcp.2003.07.026 ◽

2004 ◽

Vol 193 (1) ◽

pp. 115-135 ◽

Author(s):

Jianxian Qiu ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Dimensional Case ◽

Weno Schemes ◽

One Dimensional ◽

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An adaptive high-order discontinuous Galerkin method with error control for the Hamilton–Jacobi equations. Part I: The one-dimensional steady state case

Journal of Computational Physics ◽

10.1016/j.jcp.2007.05.003 ◽

2007 ◽

Vol 226 (1) ◽

pp. 1027-1058 ◽

Author(s):

Yanlai Chen ◽

Bernardo Cockburn

Keyword(s):

Steady State ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Error Control ◽

One Dimensional ◽

The One ◽

Jacobi Equations ◽

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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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Discontinuous Galerkin method for one- dimensional nonconservative equations

Modeling Shallow Water Flows Using the Discontinuous Galerkin Method ◽

10.1201/b16579-6 ◽

2014 ◽

pp. 43-60

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

One Dimensional

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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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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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