A Time Domain Boundary Element Formulation Based On A Multistep Time Discretization
Price
Free (open access)
Transaction
Volume
19
Pages
10
Published
1997
Size
864 kb
Paper DOI
10.2495/BE970751
Copyright
WIT Press
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
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