Optimization of perfectly matched layer for Laplace's equation

• Published in: IEEE transactions on magnetics Vol. 38; no. 2; pp. 501 - 504
• Main Authors: Dedek, L., Dedkova, J., Valsa, J.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.03.2002; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied classical electromagnetism; Boundaries; Couplings; Electromagnetism; electron and ion optics; Error functions; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Joining processes; Laplace equation; Laplace equations; Magnetism; Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems; Mathematical analysis; Optimization; Optimization methods; Perfectly matched layers; Physics; Poisson equations; Region 1; Region 10; Sparse matrices; Two dimensional displays; Finite element method; Perfectly matched layer; Laplace equations; Magnetostatics; Static field; Digital simulation; Error function; Theoretical study; Boundary conditions; Poisson equation; Optimization
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/20.996132

Parameters of the perfectly matched layer (PML) of circular boundary are rigorously calculated in the paper. The PML consists of a single, double, or triple layer of elements, whose artificial parameters are calculated by minimizing an error function of potential difference between the nodal potentials of the PML and of the original infinite grid.