A simple moving mesh method for one- and two-dimensional phase-field equations

Zhijun Tan; Tao TANG; Zhengru Zhang

doi:10.1016/j.cam.2005.01.042

A simple moving mesh method for one- and two-dimensional phase-field equations

Zhijun Tan, Tao TANG, Zhengru Zhang^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Conference article › peer-review

20 Citations (Scopus)

Abstract

A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys. 170 (2001) 562-588] to separate the mesh-moving and PDE evolution. The phase-field equations are discretized by a finite-volume method, and the mesh-moving part is realized by solving the conventional Euler-Lagrange equations with the standard gradient-based monitors. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm.

Original language	English
Pages (from-to)	252-269
Number of pages	18
Journal	Journal of Computational and Applied Mathematics
Volume	190
Issue number	1-2
DOIs	https://doi.org/10.1016/j.cam.2005.01.042
Publication status	Published - 1 Jun 2006
Event	International Conference on Mathematics and its Application - Duration: 28 May 2004 → 31 May 2004

Scopus Subject Areas

Computational Mathematics
Applied Mathematics

User-Defined Keywords

Computation of free boundaries
Finite volume method
Moving mesh method
Phase-field equations

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10.1016/j.cam.2005.01.042

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title = "A simple moving mesh method for one- and two-dimensional phase-field equations",

abstract = "A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys. 170 (2001) 562-588] to separate the mesh-moving and PDE evolution. The phase-field equations are discretized by a finite-volume method, and the mesh-moving part is realized by solving the conventional Euler-Lagrange equations with the standard gradient-based monitors. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm.",

keywords = "Computation of free boundaries, Finite volume method, Moving mesh method, Phase-field equations",

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AU - Tan, Zhijun

AU - TANG, Tao

AU - Zhang, Zhengru

PY - 2006/6/1

Y1 - 2006/6/1

N2 - A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys. 170 (2001) 562-588] to separate the mesh-moving and PDE evolution. The phase-field equations are discretized by a finite-volume method, and the mesh-moving part is realized by solving the conventional Euler-Lagrange equations with the standard gradient-based monitors. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm.

AB - A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys. 170 (2001) 562-588] to separate the mesh-moving and PDE evolution. The phase-field equations are discretized by a finite-volume method, and the mesh-moving part is realized by solving the conventional Euler-Lagrange equations with the standard gradient-based monitors. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm.

KW - Computation of free boundaries

KW - Finite volume method

KW - Moving mesh method

KW - Phase-field equations

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U2 - 10.1016/j.cam.2005.01.042

DO - 10.1016/j.cam.2005.01.042

M3 - Conference article

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VL - 190

SP - 252

EP - 269

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 1-2

T2 - International Conference on Mathematics and its Application

Y2 - 28 May 2004 through 31 May 2004

ER -

A simple moving mesh method for one- and two-dimensional phase-field equations

Abstract

Scopus Subject Areas

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