Author(s)

I. Hernández-Ramírez & C. H. Venner

Abstract

Multilevel algorithms for the fast evaluation of integral transform in acoustics I. Herniindez-Ramirez & C. H. Venner Faculty of Engineering and Technology, University of Twente, The Netherlands Abstract The evaluation of integral transforms with oscillatory kernels is a common task in acoustic radiation problems. Integral transforms are generally computationally expensive. Depending on the properties of the kernel in the transform various methods exist to obtain a much faster evaluation. The aim of the present research is to investigate if the algorithm "Multilevel Multi-Integration" developed by Brandt [I], and successfully used in contact mechanics and multi-body interaction problems can also be used for acoustic problems. First the version of the algorithm is described aimed at the case of oscillatory kernels. Next, by means of a model problem, it is shown that at the expense of a small and controllable error that is independent of the wavenumber the algorithm facilitates fast and efficien

Keywords