Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Theoretical Foundation of Overset Grid Methods for Hyperbolic
  Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws   We derive entropy conserving and entropy dissipative overlapping domain
formulations for systems of nonlinear hyperbolic equations in conservation
form, such as would be approximated by overset mesh methods. The entropy
conserving formulation imposes two-way coupling at the artificial interface
boundaries through nonlinear penalty functions that vanish when the solutions
coincide. The penalty functions are expressed in terms of entropy conserving
fluxes originally introduced for finite volume schemes. Entropy dissipation and
additional coupling in the overlap region are added through the use of linear
penalties.

37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat