Finite elements for field problems in cylindrical co‐ordinates
- 1 January 1973
- journal article
- research article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 6 (2) , 169-178
- https://doi.org/10.1002/nme.1620060203
Abstract
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.Keywords
This publication has 4 references indexed in Scilit:
- Finite-element coupling matricesElectronics Letters, 1969
- Finite-element methods for inhomogeneous waveguidesProceedings of the Institution of Electrical Engineers, 1969
- TE- and TM-waves in waveguides of very general cross sectionProceedings of the IEEE, 1963
- Field Theory for EngineersAmerican Journal of Physics, 1961