GPU accelerated Discontinuous Galerkin FEM for electromagnetic radio frequency problems

DG-FEM computations of Maxwell's equations in time domain on GPU clusters were presented. DG-FEM discretization incorporates domain decomposition on the element level, which is used for a highly parallel implementation with speedups of more than one order of magnitude. Further work will include double precision accuracy on GPU as well as investigation of scalability and improved exploitation of the GPU performance.

Introduction

Discontinuous Galerkin Finite Element Methods (DG-FEM) have been focus of research activities for solving Maxwell's equations in the time domain [1], [2], [3]. The main characteristic of DG-FEM is the local support of the basis functions which not only allows for using explicit time integration schemes but also provides domain decomposition on the element level, offering the opportunity of highly parallel implementations.