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

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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.

Info:

Periodical:

Key Engineering Materials (Volumes 345-346)

Edited by:

S.W. Nam, Y.W. Chang, S.B. Lee and N.J. Kim

Pages:

877-880

Citation:

S. Tanaka and H. Okada, "An Adaptive Wavelet Finite Element Method with High-Order B-Spline Basis Functions", Key Engineering Materials, Vols. 345-346, pp. 877-880, 2007

Online since:

August 2007

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Price:

$38.00

[1] S.N. Atluri: The Meshless Method (MLPG) for Domain & BIE Discretizations (Tech Science Press, USA 2004).

[2] T. Belytschko, Y.Y. Lu, and L. Gu: Int. J. Numer. Meth. Engng., Vol. 37 (1994), pp.229-256.

[3] G. Yagawa and T. Furukawa: Int. J. Numer. Meth. Engng., Vol. 47 (2000), pp.1419-1443.

[4] S.J. Hollister and B.A. Riemer (1994): Mathematical Methods in Medical Imaging II, Vol. 2035 (1994), pp.95-106.

[5] S. Tanaka and H. Okada: Trans JSME Series A, Vol. 72-718 (2006), pp.856-863.

[6] S. Tanaka and H. Okada: Trans JSME Series A, 72-719 (2006), pp.982-989.

[7] J.E. Kim, G. -W. Jang and Y.Y. Kim: Int. J. of Solids Struct, Vol. 40 (2003), pp.6473-6496.

[8] G. -W. Jang, J.E. Kim and Y.Y. Kim: Int. J. Numer. Meth. Engng. Vol. 59 (2004), pp.225-253.

[9] A.R. Diaz (1999): Int. J. Numer. Meth. Engng, Vol. 44 (1999), pp.1599-1616.

[10] S. Tanaka and H. Okada: Trans JSME Series A, in press (2007). Fig. 3 Plate with a hole subject to tension Fig. 4 The convergence of relative error Fig. 5 The distribution of basis functions (quadratic B-spline).

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