Fast direct and multipole solvers for electromagnetic scattering problems on heterogeneous architectures

研究领域：数值分析和软件工程在过去的十年里，在拉普拉斯和低频亥姆霍兹问题的快速直接求解器的发展方面取得了巨大的进步。这些都是基于低秩压缩的基础绿色的功能的远场相互作用，并根据制定，实现对数线性或近对数线性的复杂性。与此同时，HPC领域已经从纯CPU系统迅速发展到越来越多的异构混合CPU/GPU架构。该项目的目标是开发一系列快速算法，针对现代异构架构进行优化，允许在统一框架内高效实施快速多极子方法和快速直接求解器，旨在解决大规模电磁散射问题，到目前为止，这是现有方法和实施的重大挑战。

Research Area: Numerical Analysis and Software EngineeringOver the last decade there has been tremendous advancements in the development of fast direct solvers for Laplace and low-frequency Helmholtz problems. These are based on low-rank compressions of far-field interactions of the underlying Green's function and, depending on the formulation, achieve log-linear or near log-linear complexity. At the same time the HPC landscape has rapidly evolved from pure CPU systems to more and more heterogeneous mixed CPU/GPU architectures. The goal of this project is to develop a collection of fast algorithms, optimized for modern heterogeneous architectures, that allow the efficient HPC implementation of fast multipole methods and fast direct solvers within a unified framework with the aim to solve large-scale electromagnetic scattering problems which until now are a significant challenge for existing methods and implementations.