Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical analysis of a topology optimization problem for Stokes flow   T. Borrvall and J. Petersson [Topology optimization of fluids in Stokes flow,
International Journal for Numerical Methods in Fluids 41 (1) (2003) 77--107]
developed the first model for topology optimization of fluids in Stokes flow.
They proved the existence of minimizers in the infinite-dimensional setting and
showed that a suitably chosen finite element method will converge in a weak(-*)
sense to an unspecified solution. In this work, we prove novel regularity
results and extend their numerical analysis. In particular, given an isolated
local minimizer to the infinite-dimensional problem, we show that there exists
a sequence of finite element solutions, satisfying necessary first-order
optimality conditions, that strongly converges to it. We also provide the first
numerical investigation into convergence rates.

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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci