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

页数：17

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