Quadratic Spline Wavelets with Short Support for Fourth-Order Problems

被引：0
|
作者：
Dana Černá
Václav Finěk
机构：
[1] Technical University of Liberec,Department of Mathematics and Didactics of Mathematics
来源：
Results in Mathematics | 2014年 / 66卷
关键词：
46B15; 65N12; 65T60; Wavelet; Quadratic spline; homogeneous Dirichlet boundary conditions; condition number; biharmonic equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the paper, we propose constructions of new quadratic spline-wavelet bases on the interval and the unit square satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have one vanishing moment. We show that stiffness matrices arising from discretization of the biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small.
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页码：525 / 540
页数：15
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