Wavelet Algorithm for the Numerical Solution of Plane Elasticity Problem
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.
Keywordplane elasticity problem natural integral equation Shannon wavelet Galerkin-wavelet method
Unable to display preview. Download preview PDF.
- 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