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On the Accuracy and Stability of the Perfectly Matched Layer in Transient Waveguides
2012
Journal of Scientific Computing
Energy transmitted along a waveguide decays less rapidly than in an unbounded medium. In this paper we study the efficiency of a PML in a time-dependent waveguide governed by the scalar wave equation. A straight forward application of a Neumann boundary condition can degrade accuracy in computations. To ensure accuracy, we propose extensions of the boundary condition to an auxiliary variable in the PML. We also present analysis proving stability of the constant coefficient PML, and energy
doi:10.1007/s10915-012-9594-7
fatcat:3f6w3aufajd7nlnf35fivwohgm