Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonnegativity preserving scheme for the relaxed Cahn-Hilliard equation
  with single-well potential and degenerate mobility   We propose and analyze a finite element approximation of the relaxed
Cahn-Hilliard equation with singular single-well potential of Lennard-Jones
type and degenerate mobility that is energy stable and nonnegativity
preserving. The Cahn-Hilliard model has recently been applied to model
evolution and growth for living tissues: although the choices of degenerate
mobility and singular potential are biologically relevant, they induce
difficulties regarding the design of a numerical scheme. We propose a finite
element scheme and we show that it preserves the physical bounds of the
solutions thanks to an upwind approach adapted to the finite element method.
Moreover, we show well-posedness, energy stability properties, and convergence
of solutions of the numerical scheme. Finally, we validate our scheme by
presenting numerical simulations in one and two dimensions.

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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph