Benchmark problems for the numerical schemes of the phase-field equations
type: Item
instance of: scholarly article
title: Benchmark problems for the numerical schemes of the phase-field equations
zbMATH Open document ID: 1490.65154
DOI: 10.1155/2022/2751592
author: Y. Hwang
author: Chaeyoung Lee
author: Soobin Kwak
author: Yongho Choi
author: Seokjun Ham
author: Seungyoon Kang
author: Junxiang Yang
author: Junseok Kim
published in: Discrete Dynamics in Nature and Society
publication date: 2022-02-02T00:00:00Z
review text: Summary: In this study, we present benchmark problems for the numerical methods of the phase-field equations. To find appropriate benchmark problems, we first perform a linear stability analysis and then take a growth mode solution as the benchmark problem, which is closely related to the dynamics of the original governing equations. As concrete examples, we perform convergence tests of the numerical methods of the Allen-Cahn (AC) and Cahn-Hilliard (CH) equations using the proposed benchmark problems. The one- and two-dimensional computational experiments confirm the accuracy and efficiency of the proposed scheme as the benchmark problems.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 7468537
MaRDI profile type: Publication
Wikidata QID: Q114069527
full work available at URL: https://doi.org/10.1155/2022/2751592
OpenAlex ID: W4206928880
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description: scientific article; zbMATH DE number 7468537