Title
Wavelet based schemes for linear advection-dispersion equation.
Abstract
In this paper, two wavelet based adaptive solvers are developed for linear advection–dispersion equation. The localization properties and multilevel structure of the wavelets in the physical space are used for adaptive computational methods for solution of equation which exhibit both smooth and shock-like behaviour. The first framework is based on wavelet-Galerkin and the second is based on multiscale decomposition of finite element method. Coiflet wavelet filter is incorporated in both the methods. The main advantage of both the adaptive methods is the elimination of spurious oscillations at very high Peclet number.
Year
DOI
Venue
2011
10.1016/j.amc.2011.09.023
Applied Mathematics and Computation
Keywords
Field
DocType
Wavelet-Galerkin,Advection–dispersion,Adaptive solution,Linear B-spline wavelets,Multiscale decomposition
Mathematical optimization,Coiflet,Dispersion relation,Mathematical analysis,Finite element method,Advection,Péclet number,Spurious oscillations,Physical space,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
218
7
0096-3003
Citations 
PageRank 
References 
1
0.37
5
Authors
4
Name
Order
Citations
PageRank
Santosh G.S.K.12110.40
Shikha Gaur210.37
D. Dutta310.37
H. S. Kushwaha411211.62