An Application of Multiresolution Analysis and Lifting Scheme in FEM

Yu Min He; Xiao Long Zhang; Ya Bin Dong; Pan Gao; Zhong Bin Wei

doi:10.4028/www.scientific.net/AMR.651.631

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 651An Application of Multiresolution Analysis and...

An Application of Multiresolution Analysis and Lifting Scheme in FEM

Abstract:

Based on multiresolution analysis and lifting scheme, and an adaptive finite element method（FEM） is developed. The coarse solution can be obtained in the approximation element. The coarse solution can be refined via adding details hierarchically and locally, then sharp transitions may be captured. The numerical example has verified the effectiveness of the proposed method.

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Periodical:

Advanced Materials Research (Volume 651)

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631-634

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https://doi.org/10.4028/www.scientific.net/AMR.651.631

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Online since:

January 2013

Authors:

Yu Min He, Xiao Long Zhang, Ya Bin Dong, Pan Gao, Zhong Bin Wei

Keywords:

Finite Element, Lifting Scheme, Multiresolution Analysis, Wavelet

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