Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabilized energy factorization approach for Allen-Cahn equation with
  logarithmic Flory-Huggins potential   The Allen--Cahn equation is one of fundamental equations of phase-field
models, while the logarithmic Flory--Huggins potential is one of the most
useful energy potentials in various phase-field models. In this paper, we
consider numerical schemes for solving the Allen--Cahn equation with
logarithmic Flory--Huggins potential. The main challenge is how to design
efficient numerical schemes that preserve the maximum principle and energy
dissipation law due to the strong nonlinearity of the energy potential
function. We propose a novel energy factorization approach with the stability
technique, which is called stabilized energy factorization approach, to deal
with the Flory--Huggins potential. One advantage of the proposed approach is
that all nonlinear terms can be treated semi-implicitly and the resultant
numerical scheme is purely linear and easy to implement. Moreover, the discrete
maximum principle and unconditional energy stability of the proposed scheme are
rigorously proved using the discrete variational principle. Numerical results
are presented to demonstrate the stability and effectiveness of the proposed
scheme.

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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con