Ergül Özgür
Department of Mathematics and Statistics, University of Strathclyde, Glasgow, UK.
J Opt Soc Am A Opt Image Sci Vis. 2011 Nov 1;28(11):2261-8. doi: 10.1364/JOSAA.28.002261.
Fast and accurate solutions of large-scale electromagnetics problems involving homogeneous dielectric objects are considered. Problems are formulated with the electric and magnetic current combined-field integral equation and discretized with the Rao-Wilton-Glisson functions. Solutions are performed iteratively by using the multilevel fast multipole algorithm (MLFMA). For the solution of large-scale problems discretized with millions of unknowns, MLFMA is parallelized on distributed-memory architectures using a rigorous technique, namely, the hierarchical partitioning strategy. Efficiency and accuracy of the developed implementation are demonstrated on very large problems involving as many as 100 million unknowns.
本文考虑了涉及均匀介质物体的大规模电磁问题的快速精确解。这些问题通过电场和磁场的组合场积分方程来表述，并用Rao-Wilton-Glisson函数进行离散化。通过使用多级快速多极子算法（MLFMA）进行迭代求解。对于用数百万个未知数离散化的大规模问题，MLFMA采用一种严格的技术，即分层划分策略，在分布式内存架构上进行并行化。在涉及多达1亿个未知数的非常大的问题上，展示了所开发实现的效率和准确性。
