# hpfem/esco2012-boa

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 \title{Using $hp$-adaptive Methods in Shielding Effectiveness Calculations} \tocauthor{P. Karban} \author{} \institute{} \maketitle \begin{center} {\large Zdenek Kubik}\\ University of West Bohemia\\ {\tt zdekubik@kae.zcu.cz} \\ \vspace{4mm}{\large David Panek}\\ University of West Bohemia\\ {\tt panek50@kte.zcu.cz} \\ \vspace{4mm}{\large \underline{Pavel Karban}}\\ University of West Bohemia\\ {\tt karban@kte.zcu.cz} \\ \vspace{4mm}{\large Jiri Skala}\\ University of West Bohemia\\ {\tt skalaj@kae.zcu.cz} \end{center} \section*{Abstract} This paper deals with the numerical solution of the effectiveness of an electromagnetic shielding~\cite{emc} with the help of the finite element method. Two main objectives are followed. The first one is to propose a new approach to shielding effectiveness theory based on the high frequency numerical model. Our model uses integral characteristics on contrary to standard models~\cite{celozzi}. The second main goal is to find an appropriate method for the field model calculation. The mathematical model consists of partial differential equations describing the distribution of the electromagnetic wave~\cite{hermes-electromagnetics}. Its numerical solution is performed by a fully adaptive higher-order finite element method~\cite{hermes-project} developed by the hpfem.org group. The results are compared with the results obtained by using a commercial software. The proposed method is illustrated on the solution of shielding enclosures and the results are verified by experimental measurements. \bibliographystyle{plain} \begin{thebibliography}{10} \bibitem{emc} {\sc EMC: Electromagnetic Theory to Practical Design}. {P. A. Chatterton, M. A. Houlden}. John Wiley \& Sons, 1992. \bibitem{celozzi} {\sc New Figures of Merit for the Characterization of the Performence of Shielding Enclosures}. {S. Celozzi}. IEEE Transactions on Electromagnetic Compatibility, Vol. 46, No. 1., February 2004. \bibitem{hermes-project} {\sc P. Solin et al.}. {Hermes - Higher-Order Modular Finite Element System}. http://hpfem.org/. \bibitem{hermes-electromagnetics} {\sc L. Dubcova and P. Solin and J. Cerveny and P. Kus}. {Space and Time Adaptive Two-Mesh hp-FEM for Transient Microwave Heating Problems}. Electromagnetics, Vol. 30, p. 23 - 40, 2010. \end{thebibliography}