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Convergence of the uniaxial perfectly matched layer method for time-harmonic scattering problems in two-layered media. (English) Zbl 1222.65118

The authors propose a uniaxial perfectly matched layer (PML) method for solving the time-harmonic scattering problems in two-layered media. They impose a homogeneous boundary condition on the outer boundary of the PML and show that the solution of the PML problem converges exponentially to the solution of the original scattering problem.

MSC:

65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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