Numerical Methods in Computational Electrodynamics : Linear Systems in Practical Applications

Ursula Van Rienen

ISBN 10: 3540676295 / ISBN 13: 9783540676294

Edité par Springer Berlin Heidelberg, 2000

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Druck auf Anfrage Neuware - Printed after ordering - treated in more detail. They are just specimen of larger classes of schemes. Es sentially, we have to distinguish between semi-analytical methods, discretiza tion methods, and lumped circuit models. The semi-analytical methods and the discretization methods start directly from Maxwell's equations. Semi-analytical methods are concentrated on the analytical level: They use a computer only to evaluate expressions and to solve resulting linear algebraic problems. The best known semi-analytical methods are the mode matching method, which is described in subsection 2. 1, the method of integral equations, and the method of moments. In the method of integral equations, the given boundary value problem is transformed into an integral equation with the aid of a suitable Greens' function. In the method of moments, which includes the mode matching method as a special case, the solution function is represented by a linear combination of appropriately weighted basis func tions. The treatment of complex geometrical structures is very difficult for these methods or only possible after geometric simplifications: In the method of integral equations, the Greens function has to satisfy the boundary condi tions. In the mode matching method, it must be possible to decompose the domain into subdomains in which the problem can be solved analytically, thus allowing to find the basis functions. Nevertheless, there are some ap plications for which the semi-analytic methods are the best suited solution methods. For example, an application from accelerator physics used the mode matching technique (see subsection 5. 4). N° de réf. du vendeur 9783540676294

Détails bibliographiques

Titre : Numerical Methods in Computational ...

Éditeur : Springer Berlin Heidelberg

Date d'édition : 2000

Reliure : Taschenbuch

Etat : Neu

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Présentation de l'éditeur:

This interdisciplinary book deals with the solution of large linear systems as they typically arise in computational electrodynamics. It presents a collection of topics which are important for the solution of real life electromagnetic problems with numeri