Wave scattering at high wave numbers using exact controllability and finite element methods

A novel method for solving the Helmholtz equation is proposed and it is applied to two dimensional electromagnetic scattering problems at high wave numbers. The idea of the method is to look for the periodic solutions of the wave equation using an exact controllability methodology. The least squares formulation of the problem is solved by a preconditioned conjugate gradient. Applications to harmonic wave scattering by complex obstacles are considered.<
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