Design of accurate and efficient boundary-integral-based solvers for the study of electromagnetic scattering

In this contribution, the challenges in designing accurate and efficient boundary integral equation based solvers for electromagnetic scattering are discussed. More in particular, the efficiency of the solvers are enhanced using the following techniques: the number of degrees of freedom required to reach a certain accuracy is decreased by choosing accurate discretization schemes, the number of iterations required by iterative solvers is decreased by using Calderón preconditioned equations, the matrix-vector multiplication is accelerated using broad band multi-level fast multipole algorithms, and the computational workload is distributed using parallel paradigms. These techniques will be elucidated and demonstrated on test cases. Finally, larger and real live results will be presented in which the above mentioned techniques are combined.