Paper Title:
Construction of a Finite Element Multiresolution Method Based on the Second Generation Wavelets
  Abstract

The second generation wavelet transform has shown the property of high flexibility in multiresolution analysis. Based on this powerful tool, a new finite element multiresolution method is proposed. By using this method, the equation can be resolved in the low-resolution space, and then the coarse solution can be refined by adding the detail solutions in the detail spaces gradually till the solution in a high-resolution space satisfies the expected accuracy. This method is easy to achieve self-adapting algorithm and is suited for solving the singular problems. Numerical tests demonstrate the validity of this method.

  Info
Periodical
Advanced Materials Research (Volumes 291-294)
Chapter
Mechanical Behavior & Fracture
Edited by
Yungang Li, Pengcheng Wang, Liqun Ai, Xiaoming Sang and Jinglong Bu
Pages
1161-1164
DOI
10.4028/www.scientific.net/AMR.291-294.1161
Citation
Y. Lin, Y. M. He, X. L. Zhang, "Construction of a Finite Element Multiresolution Method Based on the Second Generation Wavelets", Advanced Materials Research, Vols. 291-294, pp. 1161-1164, 2011
Online since
July 2011
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Price
$32.00
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