Inhalt des Dokuments
Proceedings
Zitatschlüssel | Schmidt.Chernov:2011:WAVES |
---|---|
Autor | K. Schmidt and A. Chernov |
Buchtitel | Proc. 10th International Conference on Mathematical and Numerical Aspects of Wave Propagation |
Seiten | 691–694 |
Jahr | 2011 |
Monat | Jul |
Zusammenfassung | For conducting thin sheets we derive approximative transmission conditions of high orders within the time-harmonic eddy current model, and discuss an application to time-harmonic wave propagation. With the transmission conditions the sheet has not to be resolved by a FE mesh, but only its middle curve. We investigate three families of transmission conditions which are derived by asymptotic expansion for small sheet thicknesses $\eps$, where each family results from a different asymptotic framework. In the first asymptotic framework the conductivity remains constant, scales with $1/\eps$ in the second and with $1/\eps^2$ in the third. The conditions of different asymptotics differ from they robustness, i.e., they applicability and accurary for a wide range of sheet thicknesses and conductivities. We observe that the condition derived for the $1/\eps$ asymptotics is the most robust limit condition, contrary to higher orders, where the transmission conditions derived for the $1/\eps^2$ asymptotics turn out to be most robust. |
Zusatzinformationen / Extras
Direktzugang
Schnellnavigation zur Seite über Nummerneingabe
Hilfsfunktionen
Diese Seite verwendet Matomo für anonymisierte Webanalysen. Mehr Informationen und Opt-Out-Möglichkeiten unter Datenschutz.