On nonreflecting boundary conditions
Journal of Computational Physics
Nonreflecting boundary conditions for time-dependent scattering
Journal of Computational Physics
A mathematical analysis of the PML method
Journal of Computational Physics
On the analysis and construction of perfectly matched layers for the linearized Euler equations
Journal of Computational Physics
A formulation of asymptotic and exact boundary conditions using local operators
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Absorbing PML boundary layers for wave-like equations
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Exact nonreflecting boundary condition for elastic waves
SIAM Journal on Applied Mathematics
A Stable, perfectly matched layer for linearized Euler equations in unslit physical variables
Journal of Computational Physics
Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics
Journal of Scientific Computing
Stability of perfectly matched layers, group velocities and anisotropic waves
Journal of Computational Physics
Perfectly matched layer for the time domain finite element method
Journal of Computational Physics
Perfectly matched layers for Maxwell's equations in second order formulation
Journal of Computational Physics
A new approach to perfectly matched layers for the linearized Euler system
Journal of Computational Physics
Journal of Computational Physics
New absorbing layers conditions for short water waves
Journal of Computational Physics
High-order Absorbing Boundary Conditions for anisotropic and convective wave equations
Journal of Computational Physics
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods
SIAM Journal on Numerical Analysis
Journal of Computational Physics
A perfectly matched layer for the time-dependent wave equation in heterogeneous and layered media
Journal of Computational Physics
Hi-index | 31.45 |
We consider the second order wave equation in an unbounded domain and propose an advanced perfectly matched layer (PML) technique for its efficient and reliable simulation. In doing so, we concentrate on the time domain case and use the finite-element (FE) method for the space discretization. Our un-split-PML formulation requires four auxiliary variables within the PML region in three space dimensions. For a reduced version (rPML), we present a long time stability proof based on an energy analysis. The numerical case studies and an application example demonstrate the good performance and long time stability of our formulation for treating open domain problems.