Development and analysis of a new finite element method for the Cohen–Monk PML model

This work deals with the Cohen–Monk Perfectly Matched Layer (PML) model. We first carry out the stability analysis of its equivalent form. Then we propose and analyse a finite element scheme for solving this equivalent PML model. Discrete stability and optimal error estimate are established. Numerical results are presented to justify the analysis and effectiveness of this PML model. This paper presents the first mathematical analysis for this PML model and the corresponding numerical analysis for the proposed finite element scheme.