Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods

2016 ◽  
pp. 371-399 ◽  
Author(s):  
Chi-Wang Shu
Keyword(s):  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Methods ◽  
Time Dependent ◽  
Galerkin Methods ◽  
Recent Developments ◽  
Convection Dominated

Recent techniques for PDE discretizations on polyhedral meshes

2014 ◽  
Vol 24 (08) ◽  
pp. 1453-1455 ◽  
Author(s):  
N. Bellomo ◽  
F. Brezzi ◽  
G. Manzini
Keyword(s):  
Discontinuous Galerkin ◽  
Finite Differences ◽  
Discontinuous Galerkin Methods ◽  
Galerkin Methods ◽  
Special Issue ◽  
Polyhedral Meshes ◽  
Recent Developments ◽  
Virtual Element Methods ◽  
Mimetic Finite Differences ◽  
Virtual Element

This brief paper is an introduction to the papers published in a special issue devoted to survey on recent techniques for discretizing Partial Differential Equations on general polygonal and polyhedral meshes. The number of different techniques to deal with discretizations on polygonal and polyhedral meshes is quite huge, and their history is quite long. Here we concentrate on the most recent techniques, including Mimetic Finite Differences, Virtual Element Methods, and the recent developments, in this direction, of Finite Volumes and Discontinuous Galerkin Methods.

Sign in / Sign up

Export Citation Format

Share Document