A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow-Reference-Cited by-同舟云学术

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A Convexity-Preserving and Perimeter-Decreasing Parametric Finite Element Method for the Area-Preserving Curve Shortening Flow

Published:2023-08-23 Issue:4 Volume:61 Page:1989-2010
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Jiang Wei¹^ORCID,Su Chunmei²^ORCID,Zhang Ganghui³

Affiliation:

1. School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, 430072, China.

2. Corresponding author. Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China.

3. Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China.

Funder

National Natural Science Foundation of China

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Reference43 articles.

1. Curvature-Driven Flows: A Variational Approach

2. Extrinsic Geometric Flows

3. Volume-preserving parametric finite element methods for axisymmetric geometric evolution equations

4. A Structure-Preserving Parametric Finite Element Method for Surface Diffusion

5. Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve

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1. A second-order in time, BGN-based parametric finite element method for geometric flows of curves;Journal of Computational Physics;2024-10

2. Stable Backward Differentiation Formula Time Discretization of BGN-Based Parametric Finite Element Methods for Geometric Flows;SIAM Journal on Scientific Computing;2024-09-06

3. Parametric finite element approximations for anisotropic surface diffusion with axisymmetric geometry;Journal of Computational Physics;2024-01

4. A Structure-Preserving Parametric Finite Element Method for Area-Conserved Generalized Curvature Flow;Journal of Scientific Computing;2023-05-19

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