2021
DOI: 10.1007/978-3-030-84238-3_17
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A Comparison Between Different Formulations for Solving Axisymmetric Time-Harmonic Electromagnetic Wave Problems

Abstract: In many time-harmonic electromagnetic wave problems, the considered geometry exhibits an axial symmetry. In this case, by exploiting a Fourier expansion along the azimuthal direction, fully three-dimensional (3D) calculations can be carried out on a two-dimensional (2D) angular cross section of the problem, thus significantly reducing the computational effort. However, the transition from a full 3D problem to a 2D analysis introduces additional difficulties such as, among others, a singularity in the variation… Show more

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Cited by 2 publications
(7 citation statements)
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“…The numerically computed solutions for the ansätze A2 and A3 coincide, as it has also been the case for the closed cavity problems. 3 Since this holds true for all following test cases, in particular for all n, different FE orders and PML damping functions, only one of the two ansätze is shown for the remainder of this work.…”
Section: Functionmentioning
confidence: 99%
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“…The numerically computed solutions for the ansätze A2 and A3 coincide, as it has also been the case for the closed cavity problems. 3 Since this holds true for all following test cases, in particular for all n, different FE orders and PML damping functions, only one of the two ansätze is shown for the remainder of this work.…”
Section: Functionmentioning
confidence: 99%
“…Regarding the assembly cost, we provide the number of elementary FE terms associated with the different ansätze in Table 4, which clearly shows that, while A2 and A3 demand less integration points for the assembly than A1, they require more elementary FE terms than A1. In Schnaubelt et al, 3 a discussion comparing the three ansätze in terms of accuracy with respect to the number of integration points is available. ‡…”
Section: Computational Costmentioning
confidence: 99%
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“…To obtain a realistic quench simulation, a magneto-thermal coupling is required, which would necessitate the use of vectorial edge shape functions [15]. These are more involved than nodal ones and beyond this work's scope [16].…”
Section: Introductionmentioning
confidence: 99%