Premium
Finite element method for unbounded field problems and application to two‐dimensional taper
Author(s) -
Orikasa Teruaki,
Honma Toshihisa,
Fukai Ichiro,
Washisu Shin
Publication year - 1983
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620190202
Subject(s) - finite element method , electromagnetic field , gravitational singularity , field (mathematics) , mathematical analysis , mathematics , space (punctuation) , electromagnetic radiation , calculus (dental) , physics , computer science , optics , pure mathematics , medicine , dentistry , quantum mechanics , thermodynamics , operating system
Treatment of the finite element method for an unbounded field problem was proposed by McDonald and Wexler in 1972. Their method is superior to others, because it can exclude the singularities of Green's functions. This paper explains the treatment of the method in our 1979 letter which had some revisions of McDonald and Wexler's and calculated the time‐harmonic field problems. Examples presented are electromagnetic fields of two‐dimensional tapers which are open‐ended. Electromagnetic waves propagate in the taper and radiate from the taper to free space. In this case, the exact solutions for radiation from tapers are not available because of the complicated shape, and so the finite element method is useful in solving these problems. Electromagnetic fields of tapers involving dielectric slabs are also calculated as examples of inhomogeneous problems.