1. Pitfalls in the calculation of the field distribution of magnetic electron lenses by the finite-element method
- Author
-
Tom Mulvey and Khadija Tahir
- Subjects
Physics ,Nuclear and High Energy Physics ,Series (mathematics) ,business.industry ,Finite element method ,Matrix (mathematics) ,symbols.namesake ,Operator (computer programming) ,Software ,Gaussian elimination ,Conjugate gradient method ,symbols ,business ,Instrumentation ,Algorithm ,Cholesky decomposition - Abstract
In principle, a finite-element calculation of a magnetic or electrostatic structure has now achieved an accuracy that is difficult to check experimentally. However, incidental errors may occur in practice due to shortcomings in the computer itself, in the program or in the initial setting up of the data. Some common errors, culled from the literature, are reviewed; ways of recognising their presence are suggested. Some test structures and computing procedures are also put forward for estimating the accuracy of a particular calculation. A software “BH Tester ” has been devised that is intended to help the operator to check default B H curves that may be stored in the computer. This can also be used to exercise a given program at its limits and hence reveal any weaknesses. Finally, a series of tests has been carried out to assess the relative merits, in speed and accuracy, of the Gaussian elimination method of solving the matrix equations and that of the imcomplete Cholesky conjugate gradient (ICCG) method.
- Published
- 1990