Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A preconditioner for the Ohta--Kawasaki equation   We propose a new preconditioner for the Ohta--Kawasaki equation, a nonlocal
Cahn--Hilliard equation that describes the evolution of diblock copolymer
melts. We devise a computable approximation to the inverse of the Schur
complement of the coupled second-order formulation via a matching strategy. The
preconditioner achieves mesh independence: as the mesh is refined, the number
of Krylov iterations required for its solution remains approximately constant.
In addition, the preconditioner is robust with respect to the interfacial
thickness parameter if a timestep criterion is satisfied. This enables the
highly resolved finite element simulation of three-dimensional diblock
copolymer melts with over one billion degrees of freedom.

26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
16
The categories of this paper are: stat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph