Fast solution of BEM systems for elasticity problems using wavelet transforms
Latif Ebrahimnejad, Reza Attarnejad · International Journal of Computer Mathematics · 2008
This paper describes a fast approach for solving elasticity problems using boundary element method. The key idea is based on compressing matrices, to sparsify them, using fast wavelet transforms. Compactly supported orthogonal wavelets have been used to compress matrices arising from applying BEM to practical engineering problems, which can be added as a black box to existing BEM codes. Dense and fully populated matrices arising from BEM have been changed to semi-banded sparse matrices by simultanesously applying wavelet and permutation matrices. Numerical results including that of a precise study on thresholding parameter, of solution accuracy for displacements and stresses and of saving in computer time and memory are presented. The results show that the proposed method is efficient for complex problems.