A Review of Residual Distribution Schemes for Hyperbolic and Parabolic Problems: The July 2010 State of the Art
Year: 2012
Communications in Computational Physics, Vol. 11 (2012), Iss. 4 : pp. 1043–1080
Abstract
We 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.270710.130711s
Communications in Computational Physics, Vol. 11 (2012), Iss. 4 : pp. 1043–1080
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 38