A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Accurate finite difference methods for time-harmonic wave propagation
Journal of Computational Physics
Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
A mathematical analysis of the PML method
Journal of Computational Physics
Absorbing PML boundary layers for wave-like equations
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
A new approach to perfectly matched layers for the linearized Euler system
Journal of Computational Physics
High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry
Journal of Computational and Applied Mathematics
A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation
Journal of Computational Physics
Acoustic inverse scattering via Helmholtz operator factorization and optimization
Journal of Computational Physics
Perfectly matched layers for the heat and advection-diffusion equations
Journal of Computational Physics
An optimal 25-point finite difference scheme for the Helmholtz equation with PML
Journal of Computational and Applied Mathematics
A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation
Journal of Computational Physics
Journal of Computational Physics
Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
Journal of Computational Physics
Hi-index | 31.49 |
The perfectly matched layer (PML) has become a widespread technique for preventing reflections from far field boundaries for wave propagation problems in both the time dependent and frequency domains. We develop a discretization to solve the Helmholtz equation in an infinite two-dimensional strip. We solve the interior equation using high-order finite differences schemes. The combined Helmholtz-PML problem is then analyzed for the parameters that give the best performance. We show that the use of local high-order methods in the physical domain coupled with a specific second order approximation in the PML yields global high-order accuracy in the physical domain. We discuss the impact of the parameters on the effectiveness of the PML. Numerical results are presented to support the analysis.