Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93846
Title: | A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves | Authors: | Jiang, W Li, B |
Issue Date: | 15-Oct-2021 | Source: | Journal of computational physics, 15 Oct. 2021, v. 443, 110531 | Abstract: | A fully discrete finite element method, based on a new weak formulation and a new time-stepping scheme, is proposed for the surface diffusion flow of closed curves in the two-dimensional plane. It is proved that the proposed method can preserve two geometric structures simultaneously in the discrete level, i.e., the perimeter of the curve decreases in time while the area enclosed by the curve is conserved. Numerical examples are provided to demonstrate the convergence of the proposed method and the effectiveness of the method in preserving the two geometric structures. | Keywords: | Area conservation Finite element method Parametric Perimeter decrease Surface diffusion flow Time stepping |
Publisher: | Academic Press | Journal: | Journal of computational physics | ISSN: | 0021-9991 | DOI: | 10.1016/j.jcp.2021.110531 | Rights: | © 2021 Elsevier Inc. All rights reserved. © 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. The following publication Jiang, W. and B. Li (2021). "A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves." Journal of Computational Physics 443: 110531 is available at https://dx.doi.org/10.1016/j.jcp.2021.110531. |
Appears in Collections: | Journal/Magazine Article |
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Li_Perimeter-Decreasing_And_Area-Conserving.pdf | Pre-Published version | 1.08 MB | Adobe PDF | View/Open |
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