Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inf-Sup-Constant-Free State Error Estimator for Model Order Reduction of
  Parametric Systems in Electromagnetics   A reliable model order reduction process for parametric analysis in
electromagnetics is detailed. Special emphasis is placed on certifying the
accuracy of the reduced-order model. For this purpose, a sharp state error
estimator is proposed. Standard a posteriori state error estimation for model
order reduction relies on the inf-sup constant. For parametric systems, the
inf-sup constant is parameter-dependent. The a posteriori error estimation for
systems with very small or vanishing inf-sup constant poses a challenge, since
it is inversely proportional to the inf-sup constant, resulting in rather
useless, overly pessimistic error estimators. Such systems appear in
electromagnetics since the inf-sup constant values are close to zero at points
close to resonant frequencies, where they eventually vanish. We propose a novel
a posteriori state error estimator which avoids the calculation of the inf-sup
constant. The proposed state error estimator is compared with the standard
error estimator and a recently proposed one in the literature. It is shown that
our proposed error estimator outperforms both existing estimators. Numerical
experiments are performed on real-life microwave devices such as narrowband and
wideband antennas, as well as a dual-mode waveguide filter. These examples show
the capabilities and efficiency of the proposed methodology.

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an