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Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

Part of the Springer Theses Book Series

DOI: 10.1007/978-3-030-63273-1

ISBN: 978-3-030-63272-4

Publisher: Springer International Publishing - Springer Journals

Jan 5, 2021

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Chapter 1Introduction

Cortes Garcia, Idoia

Pages: 1 –8

[This chapter gives the motivation behind the analysis and simulation methods presented in this thesis and introduces the previous work performed in related topics.]
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Chapter 2Modelling

Cortes Garcia, Idoia

Pages: 9 –38

[The different physical phenomena that are relevant through this work are described by either space and time dependent partial differential equations or only time dependent differential algebraic equations. This chapter presents the different systems of equations that are required in this work,...
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Chapter 3Numerical Methods and Model Analysis

Cortes Garcia, Idoia

Pages: 39 –64

[For real world application set-ups, a closed-form solution of the systems of equations that model the physical phenomena is rare. Therefore, numerical methods are used that yield an approximation of the solution. The systems of differential equations presented in the previous section are both...
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Chapter 4Structural Analysis of the Coupled Systems

Cortes Garcia, Idoia

Pages: 65 –92

[The time dependent systems of equations obtained in most simulation settings of this work are systems of differential algebraic equations. These systems can be classified according to their index. Systems with higher index require special numerical treatment. Therefore, when dealing with...
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Chapter 5Iterative Methods in Time Domain

Cortes Garcia, Idoia

Pages: 93 –129

[The simulation of large, coupled, multiphysical problems typically poses considerable challenges. Their multiphysical character frequently involves the coupling of systems of equations with different mathematical properties, time rates and sizes, whose coupled solution has to be numerically...
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Chapter 6Results

Cortes Garcia, Idoia

Pages: 131 –156

[In this chapter the theoretical results presented in the previous chapters are verified by means of numerical test examples. Furthermore a summary of the whole work and an outlook to future work is given.]

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