Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the effect of boundary conditions on the scalability of Schwarz
  methods   In contrast with classical Schwarz theory, recent results have shown that for
special domain geometries, one-level Schwarz methods can be scalable. This
property has been proved for the Laplace equation and external Dirichlet
boundary conditions. Much less is known if mixed boundary conditions are
considered. This short manuscript focuses on the convergence and scalability
analysis of one-level parallel Schwarz method and optimized Schwarz method for
several different external configurations of boundary conditions, i.e., mixed
Dirichlet, Neumann and Robin conditions.

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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con