Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: COMSOL implementation of the H-$\phi$-formulation with thin cuts for
  modeling superconductors with transport currents   Despite the acclaimed success of the magnetic field (H) formulation for
modeling the electromagnetic behavior of superconductors with the finite
element method, the use of vector-dependent variables in non-conducting domains
leads to unnecessarily long computation times. In order to solve this issue, we
have recently shown how to use a magnetic scalar potential together with the
H-formulation in the COMSOL Multiphysics environment to efficiently and
accurately solve for the magnetic field surrounding superconducting domains.
However, from the definition of the magnetic scalar potential, the
non-conducting domains must be made simply connected in order to obey Ampere's
law. In this work, we use thin cuts to apply a discontinuity in $\phi$ and make
the non-conducting domains simply connected. This approach is shown to be
easily implementable in the COMSOL Multiphysics finite element program, already
widely used by the applied superconductivity community. We simulate three
different models in 2-D and 3-D using superconducting filaments and tapes, and
show that the results are in very good agreement with the H-A and
H-formulations. Finally, we compare the computation times between the
formulations, showing that the H-$\phi$-formulation can be up to seven times
faster than the standard H-formulation in certain applications of interest.

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The categories of this paper are: math-ph
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: acc-phys