Betcke, T;
Van 't Wout, E;
Gélat, P;
(2017)
Computationally efficient boundary element methods for high-frequency Helmholtz problems in unbounded domains.
In: Lahaye, D and Tang, J and Vuik, K, (eds.)
Modern solvers for Helmholtz problems.
(pp. 215-243).
Birkhäuser Basel
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Abstract
This chapter presents the application of the boundary element method to high-frequency Helmholtz problems in unbounded domains. Based on a standard combined integral equation approach for sound-hard scattering problems we discuss the discretization, preconditioning and fast evaluation of the involved operators. As engineering problem, the propagation of high-intensity focused ultrasound fields into the human rib cage will be considered. Throughout this chapter we present code snippets using the open-source Python boundary element software BEM++ to demonstrate the implementation.
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