A Spatial Modes Filtering FETD Method Combined With Domain Decomposition for Simulating Fine Electromagnetic Structures
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In this letter, a spatial modes filtering finite-element time-domain (SMF-FETD) method combined with dual-field domain decomposition (DFDD) is proposed for analyzing 2-D electromagnetic structures with fine features. The SMF-FETD method can obtain unconditional stability by removing unstable modes. Thus, a large time step is available in the SMF-FETD method though the fine features exist. However, the global eigenvalue solution is required in the SMF-FETD method, which brings a great burden on the computing memory and time. To solve this problem, the DFDD technique is introduced into the SMF-FETD method. The technique solves the SMF-FETD equations in each subdomain and relates the adjacent subdomains explicitly using the equivalent electromagnetic currents on the subdomain interfaces. It can greatly reduce the computing memory and time. Numerical examples are presented to verify the accuracy and effectiveness of the proposed DFDD-SMF-FETD method.Cite
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Our main purpose is to introduce the notion of almost α(Λ, sp)-continuous multifunctions. Moreover, some characterizations of almost α(Λ, sp)-continuous multifunctions are established.
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In this paper we consider a generalization to analytic multifunctions of the classical Hardy space theory of analytic functions on the unit disc. With \K(lambda) = sup (\z\; z is an element of K(lambda)) we define the Nevanlinna class N and the classes H
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In this paper, some properties of an order induced by uninorms are investigated. In this aim, the set of incomparable elements with respect to the $U$-partial order for any uninorm is introduced and studied. Also, by defining such an order, an equivalence relation on the class of uninorms is defined and this equivalence is deeply investigated. Finally, another set of incomparable elements with respect to the $U$-partial order for any uninorm is introduced and studied.
Equivalence relation
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Recent research work shows that there are four procedures that can be used to calculate the electromagnetic fields from a current source. These different procedures, even though producing the same total field, give rise to field components that differ from one procedure to another. This has led to the understanding that the various field terms that constitute the total field cannot be uniquely determined. In this paper, it is shown that all four field expressions can be reduced to a single field expression, and the various field terms arising from acceleration, uniformly moving, and stationary charges can be uniquely determined. The differences in the field terms arising from different techniques are caused by the different ways of summing up the contribution to the total electric field coming from the accelerating, moving, and stationary charges.
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