Time-Periodic Solutions of Wave Equation via Controllability and Fictitious Domain Methods
نویسندگان
چکیده
We combine the controllability and fictitious domain methods to compute time-periodic solution for a wave equation describing scattering by an obstacle. The fictitious domain method uses distributed Lagrange multipliers to satisfy the Dirichlet boundary condition on the scatterer. The controllability technique leads to an optimization problem which we solve with a preconditioned conjugate gradient method. Numerical experiments are performed with a disc and a semi-open cavity as scatterers.
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تاریخ انتشار 2003