Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bulk-surface Lie splitting for parabolic problems with dynamic boundary
  conditions   This paper studies bulk-surface splitting methods of first order for
(semi-linear) parabolic partial differential equations with dynamic boundary
conditions. The proposed Lie splitting scheme is based on a reformulation of
the problem as a coupled partial differential-algebraic equation system, i.e.,
the boundary conditions are considered as a second dynamic equation which is
coupled to the bulk problem. The splitting approach is combined with
bulk-surface finite elements and an implicit Euler discretization of the two
subsystems. We prove first-order convergence of the resulting fully discrete
scheme in the presence of a weak CFL condition of the form $\tau \leq c h$ for
some constant $c>0$. The convergence is also illustrated numerically using
dynamic boundary conditions of Allen-Cahn-type.

14
The categories of this paper are: math-ph
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The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas