Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reduced basis methods for quasilinear elliptic PDEs with applications to
  permanent magnet synchronous motors   In this paper, we propose a certified reduced basis (RB) method for
quasilinear elliptic problems together with its application to nonlinear
magnetostatics equations, where the later model permanent magnet synchronous
motors (PMSM). The parametrization enters through the geometry of the domain
and thus, combined with the nonlinearity, drives our reduction problem. We
provide a residual-based a-posteriori error bound which, together with the
Greedy approach, allows to construct reduced-basis spaces of small dimensions.
We use the empirical interpolation method (EIM) to guarantee the efficient
offline-online computational procedure. The reduced-basis solution is then
obtained with the surrogate of the Newton's method. The numerical results
indicate that the proposed reduced-basis method provides a significant
computational gain, compared to a finite element method.

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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga