scholarly journals The Notion of Conservation for Residual Distribution Schemes (or Fluctuation Splitting Schemes), with Some Applications

2019 ◽  
Vol 2 (3) ◽  
pp. 341-368
Author(s):  
Rémi Abgrall
Keyword(s):  
Residual Distribution ◽  
Splitting Schemes ◽  
Fluctuation Splitting ◽  
Residual Distribution Schemes

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.

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