Betcke, T; Salles, N; Smigaj, W; Solution of time-domain problems using Convolution Quadrature methods and BEM++. In: Aliabadi, MH and Sellier, A, (eds.) (Proceedings) International Conference on Boundary Element and Meshless Techniques.

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Abstract

Convolution Quadrature methods are efficient techniques for the solution of time-domain wave prob- lems in unbounded domains via Boundary Element Methods. In this proceeding we use the Convolution Quadrature approach to decouple the time-domain problems into a series of independent frequency-domain problems that can be solved efficiently in parallel. In contrast to previous approaches we solve many more frequency-domain problems than there are time steps. We demonstrate numerically that this approach ap- proximates the underlying time-stepping scheme with exponential accuracy as the number of frequency problems is increased. The implementation of the method is done using BEM++, a modern C++ based boundary element library with an easy to use Python interface.

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