scholarly journals hp-Discontinuous Galerkin time stepping for parabolic problems

2001 ◽  
Vol 190 (49-50) ◽  
pp. 6685-6708 ◽  
Author(s):  
T. Werder ◽  
K. Gerdes ◽  
D. Schötzau ◽  
C. Schwab
Keyword(s):  
Discontinuous Galerkin ◽  
Parabolic Problems ◽  
Time Stepping

scholarly journals A splitting mixed space-time discontinuous Galerkin method for parabolic problems

2012 ◽  
Vol 31 ◽  
pp. 1050-1059 ◽  
Author(s):  
Siriguleng He ◽  
Hong Li ◽  
Yang Liu ◽  
Zhichao Fang ◽  
Jingbo Yang ◽  
...  
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Space Time ◽  
Parabolic Problems

scholarly journals A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art

2012 ◽  
Vol 11 (4) ◽  
pp. 1043-1080 ◽  
Author(s):  
Remi Abgrall
Keyword(s):  
Finite Element ◽  
Discontinuous Galerkin ◽  
State Of The Art ◽  
Natural Extension ◽  
Parabolic Problems ◽  
Residual Distribution ◽  
Finite Volume Schemes ◽  
Stabilized Finite Element ◽  
Research Perspectives ◽  
Residual Distribution Schemes

AbstractWe describe and review non oscillatory residual distribution schemes that are rather natural extension of high order finite volume schemes when a special emphasis is put on the structure of the computational stencil. We provide their connections with standard stabilized finite element and discontinuous Galerkin schemes, show that their are really non oscillatory. We also discuss the extension to these methods to parabolic problems. We also draw some research perspectives.

Discontinuous Galerkin framework for adaptive solution of parabolic problems

2007 ◽  
Vol 70 (1) ◽  
pp. 1-24 ◽  
Author(s):  
Deepak V. Kulkarni ◽  
Dimitrios V. Rovas ◽  
Daniel A. Tortorelli
Keyword(s):  
Discontinuous Galerkin ◽  
Parabolic Problems ◽  
Adaptive Solution
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