3D Harmonic Maxwell Solutions on Vector and Parallel Computers using Controllability and Finite Element Methods
Abstract
We consider the scattering problem for 3-D electromagnetic harmonic waves. The time-domain Maxwell's equations are solved and Exact Controllability methods improve the convergence of the solutions to the time-periodic ones for nonconvex obstacles. A least-squares formulation solved by a preconditioned conjugate gradient is introduced. The discretization is achieved in time by a centered finite difference scheme and in space by Lagrange finite elements. Numerical results for 3-D nonconvex scatterers illustrate the efficiency of the method on vector and parallel computers.