Premium
Finite elements for field problems in cylindrical co‐ordinates
Author(s) -
Daly P.
Publication year - 1973
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.1620060203
Subject(s) - ordinate , finite element method , cylinder , mathematics , mathematical analysis , laplace transform , laplace's equation , geometry , physics , boundary value problem , thermodynamics
This paper deals with the extension of the finite element method as applied to the solution of the Laplace or wave equation to cylindrical co‐ordinate systems. The base matrices required for solving problems governed by these equations are derived for circular polar, elliptic cylinder and parabolic cylinder co‐ordinates. The matrices allow problems whose boundaries are described as co‐ordinate surfaces in cylinder co‐ordinates to be attacked directly by the finite element method. The subject is discussed from the point of view of one interested in electromagnetic wave propagation in uniform waveguide structures.