Title
TVD finite point method for two-dimensional conservation equation
Abstract
A new meshless method, called total variation diminishing (TVD) finite point method (TVDFP), is proposed. The TVDFP method is developed on the least-square procedure which uses a global stencil of grid points and the two-dimensional (2D) TVD procedure for the approximation of fictitious interface directional fluxes. We present the accuracy of the TVDFP method and several 2D test computations.
Year
DOI
Venue
2010
10.1080/00207160802169360
Int. J. Comput. Math.
Keywords
Field
DocType
two-dimensional conservation equation,new meshless method,total variation,least-square procedure,finite point method,grid point,fictitious interface directional flux,test computation,global stencil,tvd procedure,tvdfp method,tvd finite point method,least square,total variation diminishing
Least squares,Mathematical optimization,Mathematical analysis,Stencil,Finite point method,Total variation diminishing,Grid,Mathematics,Computation,Regularized meshless method
Journal
Volume
Issue
ISSN
87
3
0020-7160
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Li Yin1165.92
Longjun Shen2295.57