Numerical computation of space derivatives by the complex-variable-differentiation method in the Convolution Quadrature Method based BEM formulation

作者：Abreu A I^*; Mansur W J; Soares D Jr; Carrer J A M

来源：Computer Modeling in Engineering & Sciences, 2008, 30(3): 123-132.

• wave propagation acoustics
• boundary element method
• convolution quadrature method
• complex-variable-differentiation method

This paper is concerned with the numerical computation of space derivatives of a time-domain (TD-) Boundary Element Method (BEM) formulation for the analysis of scalar wave propagation problems. In the present Formulation, the Convolution Quadrature Method (CQM) is adopted. i.e., the basic integral equation of the TD-BEM is numerically substituted by a quadrature formula, whose weights are computed using the Laplace transform of the fundamental solution and a linear multi-step method. In order to numerically compute space derivatives, the present work properly transforms the quadrature weights of the CQM-BEM, adopting the so-called Complex-Variable-Differentiation Method (CVDM). Numerical examples are presented at the end of the paper illustrating the accuracy and potentialities of the proposed formulation.

• 出版日期2008-6