SUMMARYIn this paper mathematical and computational aspects of device modelling are treated. Four main subjects are discussed the analytical model, the discretizations, the non-linear and the linear systems of equations. On the one hand the most commonly used numerical techniques are described; on the other hand several new techniques are presented. Noteworthy new techniques are the generalized upwind box scheme and the mixed variable approach. Aspects such as the choice of variables and the singularly perturbed nature of the problem are treated. Properties of the matrices involved are presented in a systematic way. Throughout the paper a standard one-dimensional diode is used to illustrate the concepts involved. Finally several realistic two-dimensional examples are given.
SUMMARYThis paper describes the essential features of the program package MAGGY2. With MAGGY2, magnetostatic problems in two dimensions can be analysed. The co-ordinate system may be Cartesian, cylindrical or polar. A finite element method with bilinear isoparametric quadrilaterals is used. Input must be given in the problem-oriented language MAGLAN. This language is based on the idea that a user of MAGGY2 wants to describe his problem rather than give commands for its solution. The algorithm and the problem-oriented language are described. Some examples showing the use of the package are given.
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