An Adaptive Wavelet Finite Element Method with High-Order B-Spline Basis Functions

Satoyuki Tanaka; Hiroshi Okada

doi:10.4028/www.scientific.net/KEM.345-346.877

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Elasto-Plastic Analysis of 3-D Inner Cracks Using the Finite Element Alternating Method
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HomeKey Engineering MaterialsKey Engineering Materials Vols. 345-346An Adaptive Wavelet Finite Element Method with...

An Adaptive Wavelet Finite Element Method with High-Order B-Spline Basis Functions

Abstract:

In this paper, an adaptive strategy based on a B-spline wavelet Galerkin method is discussed. The authors have developed the wavelet Galerkin Method which utilizes quadratic and cubic B-spline scaling function/wavelet as its basis functions. The developed B-spline Galerkin Method has been proven to be very accurate in the analyses of elastostatics. Then the authors added a capability to adaptively adjust the special resolution of the basis functions by adding the wavelet basis functions where the resolution needs to be enhanced.

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Periodical:

Key Engineering Materials (Volumes 345-346)

Pages:

877-880

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.345-346.877

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Online since:

August 2007

Authors:

Satoyuki Tanaka, Hiroshi Okada

Keywords:

Adaptive Method, B-Spline Scaling Function/Wavelets, Elastic Analysis, Mesh-Free Finite Element Method

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