A critical assessment of the finite element method for calculating electric and magnetic fields

Nasr, Hamed A.I. (1981). A critical assessment of the finite element method for calculating electric and magnetic fields. PHD thesis, Aston University.

Abstract

The present dissertation is concerned with the determination of the magnetic field distribution in ma[.rnetic electron lenses by means of the finite element method. In the differential form of this method a Poisson type equation is solved by numerical methods over a finite boundary. Previous methods of adapting this procedure to the requirements of digital computers have restricted its use to computers of extremely large core size. It is shown that by reformulating the boundary conditions, a considerable reduction in core store can be achieved for a given accuracy of field distribution. The magnetic field distribution of a lens may also be calculated by the integral form of the finite element rnethod. This eliminates boundary problems mentioned but introduces other difficulties. After a careful analysis of both methods it has proved possible to combine the advantages of both in a .new approach to the problem which may be called the 'differential-integral' finite element method. The application of this method to the determination of the magnetic field distribution of some new types of magnetic lenses is described. In the course of the work considerable re-programming of standard programs was necessary in order to reduce the core store requirements to a minimum.

Divisions: Engineering & Applied Sciences
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Institution: Aston University
Uncontrolled Keywords: finite element method,calculating,electric and magnetic fields
Completed Date: 1981-07

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