A domain decomposition method for the solution of large electromagnetic problems using a massively parallel hybrid finite element - integral equation MLFMA [multilevel fast multipole algorithm]

For scattering and antenna design problems the electromagnetic field must be computed around and inside 3D 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. 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.

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.