Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A fast direct solver for integral equations on locally refined boundary
  discretizations and its application to multiphase flow simulations   In transient simulations of particulate Stokes flow, to accurately capture
the interaction between the constituent particles and the confining wall, the
discretization of the wall often needs to be locally refined in the region
approached by the particles. Consequently, standard fast direct solvers lose
their efficiency since the linear system changes at each time step. This
manuscript presents a new computational approach that avoids this issue by
pre-constructing a fast direct solver for the wall ahead of time, computing a
low-rank factorization to capture the changes due to the refinement, and
solving the problem on the refined discretization via a Woodbury formula.
Numerical results illustrate the efficiency of the solver in accelerating
particulate Stokes simulations.

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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org