\chapter{Simulation}
\label{cha:simulation}

\section{The Finite Element Method}
\label{sec:the_finite_element_method}


\acrfull{hexrd}
\acrfull{xrd}
\acrfull{fem}

\subsection{Solving Electromagnetic Fields}
\label{sub:solving_electromagnetic_fields}

\subsection{Nonlinear Materials in Harmonic Solutions}
\label{sub:nonlinear_materials_in_harmonic_solutions}

\section{Assumptions and Simplifications}
\label{sec:assumptions}

\subsection{Current Waveform}
\label{sub:current_waveform}

\subsection{Percision of Material Data}
\label{sub:percision_of_material_data}

\subsection{Temperature Dependence of the Electromagnetic Solution}
\label{sub:temperature_dependence_of_the_electromagnetic_solution}

\subsection{Geometric Simplifications}
\label{sub:geometric_simplifications}

\section{Implementation}
\label{sec:implementation}

\subsection{Calculation Scheme}
\label{sub:calculation_scheme}

\subsection{Model}
\label{sub:model}

\section{Calculation Results}
\label{sec:calculation_results}

see publication 4