Title :
A port-hamiltonian finite-element formulation for the maxwell equations
Author :
Farle, O. ; Klis, D. ; Jochum, M. ; Floch, O. ; Dyczij-Edlinger, R.
Author_Institution :
Dept. for Electromagn. Theor., Saarland Univ., Saarbrücken, Germany
Abstract :
A new port-Hamiltonian formulation for Maxwell´s equations is presented. In contrast to previous approaches for distributed-parameter systems, it is directly applicable to the finite-element method. For this purpose, the dual complex has been eliminated from the underlying Dirac structure. The discretization step preserves the port-Hamiltonian structure and important conservation laws.
Keywords :
Maxwell equations; conservation laws; distributed parameter networks; finite element analysis; Dirac structure; Maxwell equations; conservation laws; distributed parameter systems; port-Hamiltonian finite-element formulation; Electromagnetics; Iron; Magnetic domains; Manifolds; Mathematical model; Numerical models; Shape;
Conference_Titel :
Electromagnetics in Advanced Applications (ICEAA), 2013 International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-4673-5705-0
DOI :
10.1109/ICEAA.2013.6632246