Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A variational H(div) finite element discretisation approach for perfect
  incompressible fluids   We propose a finite element discretisation approach for the incompressible
Euler equations which mimics their geometric structure and their variational
derivation. In particular, we derive a finite element method that arises from a
nonholonomic variational principle and an appropriately defined Lagrangian,
where finite element H(div) vector fields are identified with advection
operators; this is the first successful extension of the structure-preserving
discretisation of Pavlov et al. (2009) to the finite element setting. The
resulting algorithm coincides with the energy-conserving scheme presented in
Guzm\'an et al. (2016). Through the variational derivation, we discover that it
also satisfies a discrete analogous of Kelvin's circulation theorem. Further,
we propose an upwind-stabilised version of the scheme which dissipates
enstrophy whilst preserving energy conservation and the discrete Kelvin's
theorem. We prove error estimates for this version of the scheme, and we study
its behaviour through numerical tests.

1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an