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

Qiang Du, Lili Ju, Jianfang Lu, Xiaochuan Tian

Type: Article

Publication Date: 2019-05-29

Citations: 7

DOI: https://doi.org/10.1007/s42967-019-00024-x

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Locations

Communications on Applied Mathematics and Computation - View

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+	Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems	2024	Qiang Du Lili Ju Jianfang Lu Xiaochuan Tian
+	The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation	2022	Caixia Nan Huailing Song
+ PDF Chat	Numerical methods for nonlocal and fractional models	2020	Marta D’Elia Qiang Du Christian Glusa Max Gunzburger Xiaochuan Tian Zhi Zhou
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Works Cited by This (24)

Action	Title	Year	Authors
+	Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems	1991	Ernst Hairer Gerhard Wanner
+	Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems	2015	Xiaochuan Tian Qiang Du
+ PDF Chat	TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems	1989	Bernardo Cockburn San‐Yih Lin Chi‐Wang Shu
+ PDF Chat	The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case	1990	Bernardo Cockburn Suchung Hou Chi‐Wang Shu
+	Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations	2013	Xiaochuan Tian Qiang Du
+ PDF Chat	The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems	1998	Bernardo Cockburn Chi‐Wang Shu
+	Nonlocal Linear Image Regularization and Supervised Segmentation	2007	Guy Gilboa Stanley Osher
+	Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints	2012	Qiang Du Max Gunzburger Richard B. Lehoucq Kun Zhou
+ PDF Chat	Solving ordinary differential equations I. nonstiff problems	1987	Ernst Hairer Syvert P. Nørsett Gerhard Wanner
+	The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems	2009	Hailiang Liu Jue Yan