Numerical Methods in Computational Electrodynamics Linear Systems in Practical Applications

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 equat...

Full description

Bibliographic Details
Main Author: Rienen, Ursula van
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2001, 2001
Edition:1st ed. 2001
Series:Lecture Notes in Computational Science and Engineering
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 03243nmm a2200397 u 4500
001 EB000665191
003 EBX01000000000000000518273
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783642568022 
100 1 |a Rienen, Ursula van 
245 0 0 |a Numerical Methods in Computational Electrodynamics  |h Elektronische Ressource  |b Linear Systems in Practical Applications  |c by Ursula van Rienen 
250 |a 1st ed. 2001 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2001, 2001 
300 |a XIII, 375 p. 122 illus., 91 illus. in color  |b online resource 
505 0 |a 1.Classical Electrodynamics -- 2. Numerical Field Theory -- 3. Numerical Treatment of Linear Systems -- 4. Applications from Electrical Engineering -- 5. Applications from Accelerator Physics -- Summary -- References -- Symbols 
653 |a Electrodynamics 
653 |a Engineering 
653 |a Computational intelligence 
653 |a Computers 
653 |a Particle Acceleration and Detection, Beam Physics 
653 |a Computational Intelligence 
653 |a Theory of Computation 
653 |a Numerical analysis 
653 |a Particle acceleration 
653 |a Numerical Analysis 
653 |a Engineering, general 
653 |a Optics 
653 |a Classical Electrodynamics 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Computational Science and Engineering 
856 4 0 |u https://doi.org/10.1007/978-3-642-56802-2?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 004.0151 
520 |a 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)