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

M.Hooshmand
Candidate of PhD, Civil and Structural Department, University Of Tehran-Iran
K.Bargi
Professor, Civil and Structural Department, University of Tehran-Iran
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.

2’D Non-Orthogonal Spline Wavelets and Schneider’s Leveldependent Scheme for 3’D Boundary Elements Method 2011-04-04T12:11:00-07:00 Rating: 4.5 Diposkan Oleh: Andre S