Perfectly matched layers in time domain. A simplified two-dimensional error analysis
Abstract
summary:Perfectly Matched Layers (PML) has become a very common method for the numerical approximation of wave and wave-like equations on unbounded domains. This technique allows one to obtain accurate solutions while working on a finite computational domain, and the technique is relatively simple to implement. Results concerning the accuracy of the PML method have been obtained, but mostly with regard to problems at a fixed frequency. In this paper we provide very explicit time-domain bounds on the accuracy of PML for the inhomogeneous two-dimensional wave equation with a particular type of forcing term, and illustrate our conclusions with some numerical examples.
Fields of Study & Subjects
Electromagnetic Simulation and Numerical Methods
Advanced Numerical Methods in Computational Mathematics
Differential Equations and Numerical Methods
Publication details
- Journal / source
- Applications of Mathematics
- Volume
- 71
- Issue
- 1
- Pages
- 31–57
- Publication date
- 29 January 2026
- Language
- EN