A wavelet-Galerkin method for a hypersingular integral equation system

Abstract

In this article, we apply Hermite cubic spline multiwavelet to investigate the numerical solution of a linear integral equation system with Hadamard integrals which arise from the natural boundary method for the plane elasticity problem in the upper half-plane by the Galerkin method. In our algorithm the stiffness matrix is sparse generally. Two test examples are presented to illustrate our method.

Keywords:

• Multiwavelet;
• Galerkin method
• Hadamard integral

AMS Subject Classifications: :

• 45E99
• 45F15

Acknowledgements

This work is supported in part by China NSF 10231040 and 10471154 and the Mathematical Tianyuan Foundation of China (10526036) and HNNSSF 80525 and GDNSF 021768.