Multi-scale Daubechies wavelet-based method for 2-D elastic problems

被引：16

作者：

Liu, Yanan ^{[1
]}

Liu, Yinghua ^{[2
]}

Cen, Zhangzhi ^{[2
]}

机构：

[1] China Special Equipment Inspect & Res Inst, Beijing 100013, Peoples R China

[2] Tsinghua Univ, Sch Aerosp, Beijing 100084, Peoples R China

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2011年 / 47卷 / 04期

关键词：

Multi-scale; Wavelet-Galerkin method; DB wavelet; General boundary; PARTIAL-DIFFERENTIAL-EQUATIONS; FINITE-ELEMENT; COLLOCATION METHOD; GALERKIN METHOD; CONSTRUCTION; DOMAINS;

D O I：

10.1016/j.finel.2010.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the multi-scale Daubechies (DB) wavelet method is used for solution of 2-D plain elastic problems. Unlike the single scale wavelet method, the DB wavelet functions are also used in function approximation for solving problems with local complicated deformation in the multi-scale method. Using the ideas of some meshless methods and Galerkin methods, the solution formulations for two dimensional elastic problems in multi-scale approach are established. In order to treat general boundaries and improve the efficiency and accuracy of solution, a method for evaluation of integrals in general region is proposed. Numerical examples of 2-D elastic problems illustrate that this multi-scale Daubechies wavelet method is effective and stable. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：334 / 341

页数：8

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