Computationally Efficient Boundary Element Methods for High-Frequency Helmholtz Problems in Unbounded Domains
Computationally Efficient Boundary Element Methods for High-Frequency Helmholtz Problems in Unbounded Domains
复制标题
无界域中高频亥姆霍兹问题的计算高效边界元方法
DOI：
--
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
P. Gélat
中科院分区：
文献类型：
--
作者：
T. Betcke;E. V. Wout;P. Gélat
本章介绍了边界元法在无界区域高频亥姆霍兹问题中的应用。基于一个标准的组合积分方程方法，我们讨论了声硬散射问题的离散化，预处理和快速评估所涉及的运营商。作为工程问题，高强度聚焦超声场的传播到人体胸腔将被考虑。在本章中，我们使用开源Python边界元软件BEM++展示代码片段来演示实现。
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.