Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A field-split preconditioning technique for fluid-structure interaction
  problems with applications in biomechanics   We present a novel preconditioning technique for Krylov subspace algorithms
to solve fluid-structure interaction (FSI) linearized systems arising from
finite element discretizations. An outer Krylov subspace solver preconditioned
with a geometric multigrid (GMG) algorithm is used, where for the multigrid
level sub-solvers, a field-split (FS) preconditioner is proposed. The block
structure of the FS preconditioner is derived using the physical variables as
splitting strategy. To solve the subsystems originated by the FS
preconditioning, an additive Schwarz (AS) block strategy is employed. The
proposed field-split preconditioner is tested on biomedical FSI applications.
Both 2D and 3D simulations are carried out considering aneurysm and venous
valve geometries. The performance of the FS preconditioner is compared with
that of a second preconditioner of pure domain decomposition type.

20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci