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Wavelet Algorithm for the Numerical Solution of Plane Elasticity Problem

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Abstract

In this paper, we apply Shannon wavelet and Galerkin method to deal with the numerical solution of the natural boundary integral equation of plane elasticity probem in the upper half-plane. The fast algorithm is given and only 3K entries need to be computed for one 4K × 4K stiffness matrix.

Supported in part by NSF of Hainan normal university

Supported in part by NSF of Guangdong

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References

  1. W. Lin, Y. J. Shen, Wavelet solutions to the natural integral equations of the plane elasticity problem, Proceedings of the second ISAAC Congress, Vol. 2, 1471–1480. (2000), Kluwer Academic Publishers.

    Google Scholar 

  2. Dehao Yu, Mathematical theory of natural boundary element methods, Science press (in chinese), Beijing (1993).

    Google Scholar 

  3. K. Feng and D. Yu, Canonical integral equations of elliptic boundary value problems and their numerical solutions, Proc. of China-France Symp. on FEM, Science Press, Beijing (1983), 211–252.

    Google Scholar 

  4. Wensheng Chen and Wei Lin, Hadamard singular integral equations and its Hermite wavelet, Proc. of the fifth international colloquium on finite or infinite dimensional complex analysis, (Z. Li, S. Wu and L. Yang. Eds.) Beijing, China (1997), 13–22.

    Google Scholar 

  5. C.-Y. Hui, D. Shia, Evaluations of hypersingular integrals using Gaussian quadrature, Int. J. for Numer. Meth. in Engng. 44, 205–214 (1999).

    Article  MATH  MathSciNet  Google Scholar 

  6. R. P. Gilbert and Wei Lin, Wavelet solutions for time harmonic acoutic waves in a finite ocean, Journal of Computional Acoustic Vol. 1, No. 1 (1993) 31–60.

    Article  MathSciNet  Google Scholar 

  7. C. A. Micchelli, Y. Xu and Y. Zhao, Wavelet Galerkin methods for second-kind integral equations. J. Comp. Appl. Math. 86 (1997), 251–270.

    Article  MATH  MathSciNet  Google Scholar 

  8. Tobias Von Petersdor., Christoph Schwab, Wavelet approximations for first kind boundary integral equations on polygons, Numer, Math, 74 (1996), 479–519.

    Article  MathSciNet  Google Scholar 

  9. I. Daubechies, Ten lectures on wavelets, Capital City Press, Montpelier, Vermont, 1992.

    MATH  Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Shen, Y., Lin, W. (2001). Wavelet Algorithm for the Numerical Solution of Plane Elasticity Problem. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_18

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  • DOI: https://doi.org/10.1007/3-540-45333-4_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43034-6

  • Online ISBN: 978-3-540-45333-8

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