Abstract:

We developed an optimal perfectly matched layer (opt PML) technique for solving the time harmonic scattering problems by choosing a particular absorbing function. With this choice, the solution of the optimal PML problem is independent of the thickness of the PML absorbing layer for a  parameter little enough. The accuracy can be improved by choosing proper ε₀ for a given δ. Numerical experiments  illustrate the competitive behavior of the proposed optimal method.

Key words: scattering problem, absorbing function, optimal perfectly matched layer method