Numerical solution of Poisson equation with wavelet bases of Hermite cubic splines on the interval

被引：0
|
作者：
Jia-wei Xiang
Xue-feng Chen
Xi-kui Li
机构：
[1] Guilin University of Electronic Technology,Faculty of Mechanical and Electrical Engineering
[2] Xi’an Jiaotong University,State Key Laboratory for Manufacturing Systems Engineering
[3] Dalian University of Technology,State Key Laboratory of Structural Analysis for Industrial Equipment
来源：
Applied Mathematics and Mechanics | 2009年 / 30卷
关键词：
Poisson equation; Hermite cubic spline wavelet; lifting scheme; wavelet-based finite element method; O351.2; 65T60; 65L05; 35F30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new wavelet-based finite element method is proposed for solving the Poisson equation. The wavelet bases of Hermite cubic splines on the interval are employed as the multi-scale interpolation basis in the finite element analysis. The lifting scheme of the wavelet-based finite element method is discussed in detail. For the orthogonal characteristics of the wavelet bases with respect to the given inner product, the corresponding multi-scale finite element equation can be decoupled across scales, totally or partially, and suited for nesting approximation. Numerical examples indicate that the proposed method has the higher efficiency and precision in solving the Poisson equation.
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页码：1325 / 1334
页数：9
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