Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on robust preconditioners for monolithic fluid-structure
  interaction systems of finite element equations   In this note, we consider preconditioned Krylov subspace methods for discrete
fluid-structure interaction problems with a nonlinear hyperelastic material
model and covering a large range of flows, e.g, water, blood, and air with
highly varying density. Based on the complete $LDU$ factorization of the
coupled system matrix, the preconditioner is constructed in form of
$\hat{L}\hat{D}\hat{U}$, where $\hat{L}$, $\hat{D}$ and $\hat{U}$ are proper
approximations to $L$, $D$ and $U$, respectively. The inverse of the
corresponding Schur complement is approximated by applying one cycle of a
special class of algebraic multigrid methods to the perturbed fluid
sub-problem, that is obtained by modifying corresponding entries in the
original fluid matrix with an explicitly constructed approximation of the exact
perturbation coming from the sparse matrix-matrix multiplications.

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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con