Computationally Efficient Boundary Element Methods for High-Frequency Helmholtz Problems in Unbounded Domains [chapter]

Timo Betcke, Elwin van 't Wout, Pierre Gélat
2017 Modern Solvers for Helmholtz Problems  
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
more » ... open-source Python boundary element software BEM++ to demonstrate the implementation.
doi:10.1007/978-3-319-28832-1_9 fatcat:mhsftqcgpvgklkn6jy3z7punru