On the treatment of sharp corners in the FEM analysis of high frequency problems

• Published in: IEEE transactions on magnetics Vol. 30; no. 5; pp. 3108 - 3111
• Main Authors: Bardi, I., Biro, O., Dyczij-Edlinger, R., Preis, K., Richter, K.R.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.09.1994; Institute of Electrical and Electronics Engineers
• Subjects: Applied classical electromagnetism; Conductivity; Electric potential; Electromagnetic fields; Electromagnetic waveguides; Electromagnetism; electron and ion optics; Exact sciences and technology; Finite element methods; Frequency; Fundamental areas of phenomenology (including applications); Magnetic analysis; Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems; Physics; Shape; Testing; Transmission line matrix methods; Electric potential; Electromagnetism; Grid pattern; Scalar potential; Vector potential; Theoretical study; Electromagnetic fields; Modeling; Finite element method; Edge effect; Magnetic potential; Mathematical models; Magnetic fields; High frequency; Electric fields
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/20.312595

A treatment of sharp metal corners is presented by a nodal finite element method in which the usual nodal shape functions are combined with edge shape functions in the vicinity of the sharp corner or on the whole boundary. The magnetic vector potential together with the electric scalar potential is used and the spurious modes are suppressed by enforcing the source-free condition implicitly. Examples are presented to test and illustrate the method.< >