Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the stability of Scott-Zhang type operators and application to
  multilevel preconditioning in fractional diffusion   We provide an endpoint stability result for Scott-Zhang type operators in
Besov spaces. For globally continuous piecewise polynomials these are bounded
from $H^{3/2}$ into $B^{3/2}_{2,\infty}$; for elementwise polynomials these are
bounded from $H^{1/2}$ into $B^{1/2}_{2,\infty}$. As an application, we obtain
a multilevel decomposition based on Scott-Zhang operators on a hierarchy of
meshes generated by newest vertex bisection with equivalent norms up to (but
excluding) the endpoint case. A local multilevel diagonal preconditioner for
the fractional Laplacian on locally refined meshes with optimal eigenvalue
bounds is presented.

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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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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: astro-ph
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The categories of this paper are: nucl-th