Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model-Reference-Cited by-同舟云学术

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Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model

Published:2021-08 Issue: Volume:96 Page:67-76
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Li Huanrong,Wang Dongmei,Song Zhengyuan,Zhang Fuchen

Funder

Chongqing Municipal Education Commission Foundation

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference42 articles.

1. A POD reduced-order model based on spectral Galerkin method for solving the space-fractional Gray-Scott model with error estimate;Abbaszadeh;Eng. Comput.,2020

2. On linear and nonlinear aspects of dynamic mode decomposition;Alekseev;Int. J. Numer. Methods Fluids,2016

3. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening;Allen;Acta Metall.,1979

4. A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation;Chen;Comput. Math. Appl.,2019

5. Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients;Chou;J. Comput. Phys.,2019

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4. Error analysis of a reduced order method for the Allen-Cahn equation⁎;Applied Numerical Mathematics;2024-09

5. A class of monotone and structure-preserving Du Fort-Frankel schemes for nonlinear Allen-Cahn equation;Computers & Mathematics with Applications;2024-09

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