ACA-accelerated Time Domain BEM For
3-D Elastodynamics
Author(s)
H. Wang
Abstract
This paper presents the use of the adaptive cross approximation (ACA) method
for the acceleration of the classic time domain boundary element method (BEM)
in 3-D elastodynamics. The main advantage of using ACA is that it is based only
on the knowledge of the matrix entries; therefore no special treatment of the time
domain fundamental solution is required when the coefficient matrix is
approximated by using this approach. In order to discretize the boundary integral
equation (BIE) we use the collocation method and eight-node discontinuous
quadratic element. In the numerical examples, stability of the classic time
domain BEM in terms of both the degree of discontinuity of the boundary
elements and the time step size is tested, and the compression ratios of the
coefficient matrices by using ACA along the time steps are studied.
Keywords: boundary element, time domain, adaptive cross approximation,
elastodynamics.
Keywords
boundary element, time domain, adaptive cross approximation,
elastodynamics
Related Book
Other papers in this volume
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