902 On the Analysis of Stress Concentration Problem using B-spline Wavelet Galerkin Method

2005 ◽  
Vol 2005.18 (0) ◽  
pp. 173-174
Author(s):  
Satoyuki TANAKA ◽  
Hiroshi Okada
Keyword(s):  
Stress Concentration ◽  
Galerkin Method ◽  
Spline Wavelet ◽  
B Spline ◽  
Wavelet Galerkin Method ◽  
Concentration Problem

scholarly journals On Fracture Mechanics Analysis Using B-Spline Wavelet Galerkin Method

2009 ◽  
Vol 75 (751) ◽  
pp. 296-303 ◽  
Author(s):  
Satoyuki TANAKA ◽  
Hiroshi OKADA ◽  
Shigenobu OKAZAWA ◽  
Masahiko FUJIKUBO
Keyword(s):  
Fracture Mechanics ◽  
Galerkin Method ◽  
Spline Wavelet ◽  
B Spline ◽  
Wavelet Galerkin Method ◽  
Mechanics Analysis

Analysis of Stress Concentration Problem using Wavelet Galerkin Method

2004 ◽  
Vol 2004.17 (0) ◽  
pp. 465-466
Author(s):  
Satoyuki TANAKA ◽  
Hiroshi Okada ◽  
Yasuyoshi Fukui ◽  
Noriyoshi Kumazawa
Keyword(s):  
Stress Concentration ◽  
Galerkin Method ◽  
Wavelet Galerkin Method ◽  
Concentration Problem

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

2007 ◽  
Vol 345-346 ◽  
pp. 877-880 ◽  
Author(s):  
Satoyuki Tanaka ◽  
Hiroshi Okada
Keyword(s):  
Galerkin Method ◽  
Scaling Function ◽  
Adaptive Strategy ◽  
Basis Functions ◽  
Adaptive Wavelet ◽  
B Spline ◽  
Wavelet Galerkin Method ◽  
Wavelet Finite Element Method ◽  
Wavelet Finite Element ◽  
Spline Basis

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.

An extended wavelet Galerkin method with a high-order B-spline for 2D crack problems

2015 ◽  
Vol 226 (7) ◽  
pp. 2159-2175 ◽  
Author(s):  
S. Tanaka ◽  
H. Suzuki ◽  
S. Ueda ◽  
S. Sannomaru
Keyword(s):  
Galerkin Method ◽  
High Order ◽  
B Spline ◽  
Wavelet Galerkin Method ◽  
Crack Problems
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