A. Bossavit. Solving Maxwell's equations in a closed cavity, and the question of "spurious modes". IEEE Trans., MAG, 26:702--705, 1990. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Eigenvalue Solvers for Electromagnetic Fields in Cavities - Adam, Arbenz, Geus (1997) (2 citations) (Correct)
.... that the edge elements correctly reflect the behavior of e 2 H 0 (curl; Omega Gamma across element interfaces in that they do not unnecessarily enforce continuity of the normal component of e and that they further can cope with discontinuous tangential component of e at a reentrant corner [10], 14] 57] 58] While the former reason is hardly applicable to the evacuated cavity the latter may play a role with the convex domains of the future cavity shapes, cf. Fig. 1.1. On the other hand, the matrix eigenvalue problem (5.4) for the node elements is simpler than either (5.10) or ....
A. Bossavit, Solving Maxwell equations in a closed cavity, and the question of `spurious modes', IEEE Transactions on Magnetics 26 (1990), no. 2, 702--705.
Absorbing Boundary Conditions - Chi, Kim (1997) (Correct)
....produces surface current density and the discontinuity of the normal part of D across the interface of two material produces surface charge density [56, 80] Thus a direct approach to Maxwell s equation using mixed nite element methods is more suitable. The edge elements developed by Bossavit [10, 11, 12, 13], and H(curl) and H(div) conforming nite elements developed by Nedelec [68] can be used for the equation (3.1.8) We remark that Bossavit s edge elements are the special case of Nedelec s elements: Whitney s element of order 1 is equal to Nedelec s H(curl) conforming element of order 1 and ....
, Solving Maxwell equations in a closed cavity, and the question of `spurious modes', IEEE Trans. Magnetics 26 (1990), 702705. Bibliography 61
Fast Solvers for Time-Harmonic Maxwell's Equations in 3D - Aruliah (2001) Self-citation (Equations) (Correct)
....condition for the Helmholtz equation [69, 91] On a bounded domain # , suppose that the boundary ## is partitioned into two disjoint parts, ## and ## : ## ## , one of which may be empty. Then, the following inhomogeneous boundary value problem is well posed (see [16, chap. 9] or [15]) 2.23) where e and h are some known fields whose tangential traces are well defined. The explicit spaces in which the solution (E, H) is sought are detailed in Section 2.5 where equivalent integral formulations are specified. The specification of the tangential trace n E = ....
....boundary condition for H in (2.23) is replaced by a Neumann boundary condition for E that includes the source field Jm when H is eliminated. Assuming that the frequency # is not an eigenvalue of the associated homogeneous problem (##E, #) # = 0, the weak problem (2. 39) is well posed [15]. Alternatively, rather than eliminating the magnetic field H , eliminating E gives the boundary value PDE problem curl (## 1 curl H) #H = Jm curl (## 1 J e ) x h, x # 1 [curl H J e ] n e, x ) 2.40) and the corresponding weak problem Find H # # 1 ....
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A. Bossavit. Solving Maxwell's equations in a closed cavity, and the question of "spurious modes". IEEE Trans., MAG, 26:702--705, 1990.
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