Non-Orthogonal Spline Wavelets and Schneider’s Leveldependent Scheme for 3’D Boundary Elements Method

2’D Non-Orthogonal Spline Wavelets and Schneider’s Leveldependent Scheme for 3’D Boundary Elements Method Key Words: matrix compression scheme, wavelet BEM, 2’D Non-orthogonal wavelet ABSTRACT: 2’D Non-orthogonal spline wavelets are used as basis function in boundary elements method(BEM).This kind of wavelet has compact supports and closed-formed expression that have been proposed by authors. Besides one can choose the vanishing moments of the wavelets Independently of the order of B-splines. The adaptive meshing for boundary elements makes it possible to reduce the degree of freedom (DOF) required for a specified accuracy. Sparse coefficient matrices are obtained by truncating the small elements a priori. The level-dependent schemes enable us to reduce the matrix entries. In the present paper we investigate the matrix truncation using Schneider’s level-dependent algorithm. The level-dependent truncation schemes select the truncated entries by comparing the predetermined threshold with the distance between the supports of two basis function. Through numerical examples, the efficiency of compression scheme together with Non-orthogonal surface wavelet is investigated.

Source civil.iitb.ac.in

Clic Image To Download Full Journal