Wavelet based schemes for linear advection-dispersion equation

被引：3
|
作者：
Sandeep, K. [1 ]
Gaur, Shikha [2 ]
Dutta, D. [3 ]
Kushwaha, H. S. [3 ]
机构：
[1] BHU, Inst Technol, Dept Mech Engn, Varanasi, Uttar Pradesh, India
[2] BHU, Inst Technol, Dept Appl Math, Varanasi, Uttar Pradesh, India
[3] Bhabha Atom Res Ctr, Mumbai 400085, Maharashtra, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期
关键词：
Wavelet-Galerkin; Advection-dispersion; Adaptive solution; Linear B-spline wavelets; Multiscale decomposition; PARTIAL-DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; CONSTRUCTION; REFINEMENT;
D O I：
10.1016/j.amc.2011.09.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2011 Elsevier Inc. All rights reserved.
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页码：3786 / 3798
页数：13
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