Development and analysis of a new finite element method for the Cohen-Monk PML model
The Perfectly Matched Layer (PML) was introduced in [\textit{J. P. Bérenger}, C. R. Acad. Sci., Paris, Sér. 322, No. 3, 285--288 (1996; Zbl 0814.65129)] for solving the time-dependent Maxwell's equations in unbounded domains, which has been used frequently for wave propagation simulation. In this paper, an equivalent Cohen-Monk PML model is formulated and then its stability is proved. The equivalent PML model is solved with a finite element method. Discrete stability is established which has exactly the same form as the continuous stability and optimal error estimate are proved. Numerical results demonstrating the effectiveness of this PML model are presented.
Cohen-Monk perfectly matched layer (PML) model
scientific article; zbMATH DE number 7317376