A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model
Author:
Funder
Chongqing Municipal Education Commission
Publisher
Elsevier BV
Subject
Applied Mathematics,Analysis
Reference32 articles.
1. On linear and nonlinear aspects of dynamic mode decomposition;Alekseev;Int. J. Numer. Methods Fluids,2016
2. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening;Allen;Acta Metall.,1979
3. Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen-Cahn equation and the mean curvature flow;Feng;IMA J. Numer. Anal.,2015
4. Stabilized Crank-Nicolson/Adams-Bashforth schemes for phase field models;Feng;East Asian J. Appl. Math.,2013
5. Numerical analysis for the Cahn-Hilliard-Hele-Shaw system with variable mobility and logarithmic Flory-Huggins potential;Guo;Appl. Numer. Math.,2020
Cited by 30 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. A reduced-dimension method for unknown Crank-Nicolson finite element solution coefficient vectors of elastic wave equation with singular source term;Journal of Mathematical Analysis and Applications;2024-12
2. An augmented subspace based adaptive proper orthogonal decomposition method for time dependent partial differential equations;Journal of Computational Physics;2024-10
3. Error analysis of a reduced order method for the Allen-Cahn equation⁎;Applied Numerical Mathematics;2024-09
4. A preserving accuracy two-grid reduced-dimensional Crank-Nicolson mixed finite element method for nonlinear wave equation;Applied Numerical Mathematics;2024-08
5. Two-grid dimension reduction method of Crank-Nicolson mixed finite element solution coefficient vectors for the fourth-order extended Fisher-Kolmogorov equation;Journal of Mathematical Analysis and Applications;2024-08
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3