Work

Time and space derivatives in a BEM formulation based on the CQM with initial conditions contribution

Year: 2007

Type: conference-paper

Abstract: This work is concerned with the numerical computation of time and space derivatives of the time-domain solution of scalar wave propagation problems using the boundary element method (TD-BEM).In the present formulation, the BEM based on the so-called convolution quadrature method (CQM-BEM) is employed.The CQM-BEM takes into account non-homogeneous initial conditions by means of a general procedure, known as the initial condition pseudo-force procedure (ICPF), which replaces the initial conditions by equivalent pseudo-forces.The boundary integral equation with initial conditions contribution is derived analytically and the quadrature weights of the standard ICPF-CQM-BEM formulation are transformed in order to compute time and space derivatives.Two numerical examples are presented at the end of the work illustrating the efficacy of the implemented formulation.

Source: WIT transactions on modelling and simulation

DOI: 10.2495/be070231

Authors: A. I. Abreu, M. A. C. Ferro, W. J. Mansur

Institutions: Universidade Federal do Rio de Janeiro, Military Institute of Engineering

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2091789665

FWCI:

Cites: 14

Cited by:

Related to: 10