Computationally efficient boundary element methods for high-frequency Helmholtz problems in unbounded domains

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Computationally efficient boundary element methods for high-frequency Helmholtz problems in unbounded domains

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 Green open access

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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.

Type:	Book chapter
Title:	Computationally efficient boundary element methods for high-frequency Helmholtz problems in unbounded domains
ISBN-13:	9783319288314
Open access status:	An open access version is available from UCL Discovery
DOI:	10.1007/978-3-319-28832-1
Publisher version:	http://www.springer.com/us/book/9783319288314
Language:	English
Keywords:	boundary element method, Helmholtz, high-intensity focused ultrasound
UCL classification:	UCL UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Div of Surgery and Interventional Sci UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Div of Surgery and Interventional Sci > Department of Surgical Biotechnology UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI:	https://discovery.ucl.ac.uk/id/eprint/1478241