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A Numerical Method Based on Daubechies Wavelet Basis and B-Spline Patches for Elasticity Problems
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The Daubechies (DB) wavelets are used for solving 2D plane elasticity problems.
In order to improve the accuracy and stability in computation, the DB wavelet scaling functions in 0 , + ∞ ) comprising boundary scaling functions are chosen as basis functions for approximation.
The B-spline patches used in isogeometry analysis method are constructed to describe the problem domain.
Through the isoparametric analysis approach, the function approximation and relevant computation based on DB wavelet functions are implemented on B-spline patches.
This work makes an attempt to break the limitation that problems only can be discretized on uniform grids in the traditional wavelet numerical method.
Numerical examples of 2D elasticity problems illustrate that this kind of analysis method is effective and stable.
American Psychological Association (APA)
Liu, Yanan& Din, Keqin. 2016. A Numerical Method Based on Daubechies Wavelet Basis and B-Spline Patches for Elasticity Problems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1111889
Modern Language Association (MLA)
Liu, Yanan& Din, Keqin. A Numerical Method Based on Daubechies Wavelet Basis and B-Spline Patches for Elasticity Problems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1111889
American Medical Association (AMA)
Liu, Yanan& Din, Keqin. A Numerical Method Based on Daubechies Wavelet Basis and B-Spline Patches for Elasticity Problems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1111889
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111889