A quadratic finite element wavelet Riesz basis

被引：7
|
作者：
Rekatsinas, Nikolaos [1 ]
Stevenson, Rob [1 ]
机构：
[1] Univ Amsterdam, Korteweg de Vries Inst Math, POB 94248, NL-1090 GE Amsterdam, Netherlands
来源：
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING | 2018年 / 16卷 / 04期
关键词：
Wavelets; finite elements; Riesz bases; biorthogonality; vanishing moments; GENERAL MESHES; CONSTRUCTION; BASES; TRIANGULATIONS; PREWAVELETS; STABILITY;
D O I：
10.1142/S0219691318500339
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this paper, continuous piecewise quadratic finite element wavelets are constructed on general polygons in R-2. The wavelets are stable in H-s for vertical bar s vertical bar < 3/2 and have two vanishing moments. Each wavelet is a linear combination of 11 or 13 nodal basis functions. Numerically computed condition numbers for s is an element of {-1,0,1} are provided for the unit square.
引用
收藏
页数：17
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