A Domain Decomposition Method for the solution of large electromagnetic problems using a massively parallel hybrid Finite Element - Integral Equation MLFMA

摘要

For scattering and antenna design problems the electromagnetic field must be computed around and inside 3-dimensional complex targets constituted with inhomogeneous media. To this end, "exact" numerical methods can be employed to solve Maxwell's equations in the frequency domain. Here, we consider the hybrid Boundary Integral Equation and the Finite Element technique. For some of our applications, this numerical approach tends to be insufficient in terms of number of Degrees of Freedom (DoF). There are over 10 millions DoF for the inner domain and 1 million DoF for the outer boundary terminating the FE Mesh. In order to solve these very large problems, we have combined an original numerical method based on a Domain Decomposition Method and very efficient parallel algorithms.