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Abstract: . We investigate algorithms for computing steady state electromagnetic waves in cavities. The Maxwell equations for the strength of the electric field are solved by (1) a penalty method using common linear and quadratic node-based finite elements, and (2) a mixed method with linear and quadratic finite edge elements for the field values and corresponding node-based finite elements for the Lagrange multiplier. These are two approaches that avoid so-called spurious modes which are introduced if... (Update)
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.... after elimination of the magnetic field terms the variational form of the eigenvalue problem for the electric field intensity is given by [1] Find ( u) 2 IR Theta W 0 such that u 6= 0 and (curl u; curl v) u; v) 8v 2 W 0 : 1) Let L 2 ( Omega ) be the Hilbert space of...
.... and the spectrum therefore more suited for numerical approximation (see the discussion and the numerical results in ADAM, ARBENZ GEUS [1]) the fact remains that the solutions, in general, are not in H 1 . On the other hand, it has been known for some time [7] that the...
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BibTeX entry: (Update)
St. Adam, P. Arbenz, and R. Geus, Eigenvalue solvers for electromagnetic fields in cavities, Technical Report #275, ETH Zurich, Institute of Scientific Computing, Computer Science Department, October 1997, (Available at URL http://www.inf.ethz.ch/publications/) http://citeseer.ist.psu.edu/adam97eigenvalue.html More
@misc{ adam97eigenvalue,
author = "S. Adam and P. Arbenz and R. Geus",
title = "Eigenvalue solvers for electromagnetic fields in cavities",
text = "St. Adam, P. Arbenz, and R. Geus, Eigenvalue solvers for electromagnetic
fields in cavities, Technical Report #275, ETH Zurich, Institute of Scientific
Computing, Computer Science Department, October 1997, (Available at URL
http://www.inf.ethz.ch/publications/)",
year = "1997",
url = "citeseer.ist.psu.edu/adam97eigenvalue.html" }
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