WIT Press


A Time Domain Boundary Element Formulation Based On A Multistep Time Discretization

Price

Free (open access)

Paper DOI

10.2495/BE970751

Volume

19

Pages

10

Published

1997

Size

864 kb

Author(s)

M. Schanz

Abstract

The usual time domain Boundary Element Method (BEM) contains time-dependent fun- damental solutions which are convoluted with time-dependent boundary data and inte- grated over the boundary surface. Here, a new approach for the evaluation of the convo- lution integrals, the so-called "Operational Quadrature Methods" developed by LUBICH, is presented. In this formulation, the convolution integral is numerically approximated by a quadrature formula whose weights are determined using the Laplace transform of the fundamental solution and a linear multistep method. To study the behaviour of the method, the numerical convolution of a fundamental solution with a unit step function is compared with the analytical result. Then, applying this "Operational Quadrature Met

Keywords