Fictitious domain technique for the calculation of time-periodic solutions of scattering problem (Q624751)

Summary: The fictitious domain technique is coupled with the improved time-explicit asymptotic method for calculating a time-periodic solution of the wave equation. Conventionally, the practical implementation of the fictitious domain method relies on finite difference time discretizations schemes and finite element space approximation. Our new method applies finite difference approximations in space instead of the conventional finite element approximation. We use the Dirac delta function to transport the variational forms of the wave equations to a differential form and then solve it by finite difference schemes. Our method is relatively easier to code and requires fewer computational operations than conventional finite element method. The numerical experiments show that the new method performs as well as the method using conventional finite element approximation.