Year: 2025
Author: Juan Zhang, Shifeng Li, Kai Jiang
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 2 : pp. 454–488
Abstract
In this paper, we propose two efficient block preconditioners to solve the mass-conserved Ohta-Kawasaki equation with finite element discretization. We also study the spectral distribution of these two preconditioners, i.e., Schur complement preconditioner and the modified Hermitian and skew-Hermitian splitting (MHSS in short) preconditioner. Besides, Newton method and Picard method are used to address the implicitly nonlinear term. We rigorously analyze the convergence of Newton method. Finally, we offer numerical examples to support the theoretical analysis and indicate the efficiency of the proposed preconditioners for the mass-conserved Ohta-Kawasaki equation
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2023-0066
Advances in Applied Mathematics and Mechanics, Vol. 17 (2025), Iss. 2 : pp. 454–488
Published online: 2025-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 35
Keywords: Mass-conserved Ohta-Kawasaki equation Newton method Schur complement preconditioner MHSS preconditioner.