Construction of a Finite Element Multiresolution Method Based on the Second Generation Wavelets

Abstract:

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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)

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 et al., "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:

$35.00

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