Fast direct and multipole solvers for electromagnetic scattering problems on heterogeneous architectures
Lead Research Organisation:
University College London
Department Name: Mathematics
Abstract
Research Area: Numerical Analysis and Software Engineering
Over 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.
Over 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.
Organisations
People |
ORCID iD |
Timo Betcke (Primary Supervisor) | |
Srinath Kailasa (Student) |
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
EP/V520263/1 | 30/09/2020 | 31/10/2025 | |||
2417009 | Studentship | EP/V520263/1 | 30/09/2020 | 04/12/2024 | Srinath Kailasa |