Journal title
SIAM Journal on Matrix Analysis and Applications
DOI
10.1137/16M1065483
Issue
1
Volume
38
Last updated
2024-04-10T17:56:41.067+01:00
Page
217-225
Abstract
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.
Symplectic ID
665389
Submitted to ORA
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Publication type
Journal Article
Publication date
21 Mar 2017