Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin
  methods for fluid-structure interaction   We present a novel (high-order) hybridizable discontinuous Galerkin (HDG)
scheme for the fluid-structure interaction (FSI) problem. The (moving domain)
incompressible Navier-Stokes equations are discretized using a divergence-free
HDG scheme within the arbitrary Lagrangian-Euler (ALE) framework. The nonlinear
elasticity equations are discretized using a novel HDG scheme with an
H(curl)-conforming velocity/displacement approximation. We further use a
combination of the Nitsche's method (for the tangential component) and the
mortar method (for the normal component) to enforce the interface conditions on
the fluid/structure interface. A second-order backward difference formula
(BDF2) is use for the temporal discretization. Numerical results on the
classical benchmark problem by Turek and Hron show a good performance of our
proposed method.

20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol