Wavelets in hybrid-mixed stress elements

被引:19
作者
Castro, LMS [1 ]
de Freitas, JAT [1 ]
机构
[1] Univ Tecn Lisboa, Dept Civil Engn, Inst Super Tecn, P-1049001 Lisbon, Portugal
关键词
D O I
10.1016/S0045-7825(00)00313-3
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The objective of this paper is to present the application of wavelets in the implementation of the stress model of the hybrid-mixed finite element formulation. Independent wavelet bases are used to approximate the stresses in the domain and the displacements both in the domain and on the boundary of elastostatic finite elements. Except for the kinematic boundary conditions, which are enforced directly, all the remaining equations of elastostatics are enforced in a weighted residual form so designed as to ensure that the discrete model embodies the relevant properties of the continuum fields they represent, namely static-kinematic duality and elastic reciprocity. Numerical examples are used to illustrate the characteristics of the numerical model being presented and to assess its accuracy and efficiency. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:3977 / 3998
页数:22
相关论文
共 31 条
[1]  
Alpert B. K., 1992, WAVELETS TUTORIAL TH, V2, P181
[2]  
[Anonymous], MONOGRAPHS NUMERICAL
[3]  
BERTOLUZZA S, 1994, WAVELETS THEORY ALGO, P425, DOI DOI 10.1016/B978-0-08-052084-1.50024-7
[4]   FAST WAVELET TRANSFORMS AND NUMERICAL ALGORITHMS .1. [J].
BEYLKIN, G ;
COIFMAN, R ;
ROKHLIN, V .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1991, 44 (02) :141-183
[5]   The wavelet element method - Part II. Realization and additional features in 2D and 3D [J].
Canuto, C ;
Tabacco, A ;
Urban, K .
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2000, 8 (02) :123-165
[6]   The Wavelet Element Method part I. Construction and analysis [J].
Canuto, C ;
Tabacco, A ;
Urban, K .
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1999, 6 (01) :1-52
[7]  
CASTRO LMS, UNPUB COMPUT STRUCT
[8]  
CASTRO LMS, 1996, ADV COMPUTATIONAL ME, P146
[9]  
CASTRO LMS, 1996, THESIS TU LISBON
[10]  
Chui C.K., 1992, An introduction to wavelets, V1, DOI DOI 10.1109/99.388960