hp-Adaptation for the FEM Analysis of Waveguides
Date
2008-03
Authors
Lezar, Evan
Journal Title
Journal ISSN
Volume Title
Publisher
Stellenbosch : Stellenbosch University
Abstract
The nite element method (FEM) is a powerful tool for the computational analysis of a wide range
of electromagnetic problems. As the complexity of the problems is increased so are the demands
in terms of the computational resources required to obtain a su ciently accurate solution. In an
attempt to obtain a desired accuracy at a lower computational cost adaptive and higher order
methods are often employed. These methods generally entail re ning the solution only in the areas
where greater complexity is required, thus decreasing the total computational demand.
The adaptive nite element method is implemented and used to analyse the transverse electric
cuto eigenmodes of 2D waveguiding structures. The higher order hierarchical vector basis functions
that form part of this implementation are automatically generated to very high orders, with the
results presented in excellent agreement to analytical ones where applicable. Accuracy to the order of
numeric precision is attained. Using these adaptive methods, it is also possible to achieve improved
cost e ciency of the error metrics considered with respect to storage requirements and computational
cost.
Description
Thesis (MScEng (Electrical and Electronic Engineering))--Stellenbosch University, 2008.
Keywords
Theses -- Electrical and electronic engineering, Dissertations -- Electrical and electronic engineering