CONVERGENCE OF DZIUK'S SEMIDISCRETE FINITE ELEMENT METHOD FOR MEAN CURVATURE FLOW OF CLOSED SURFACES WITH HIGH-ORDER FINITE ELEMENTS (vol 59, pg 1592, 2021)

被引：5

作者：

Bai, Genming ^{[1
]}

Li, Buyang ^{[1
]}

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2023年 / 61卷 / 03期

关键词：

mean curvature flow; evolving surface; finite element method; convergence; error estimate;

D O I：

10.1137/22M1521791

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The proof of the main theorem in [B. Li, SIAM J. Numer. Anal., 59 (2021), pp. 1592-1617] is corrected. With the corrected proof, the main theorem in this published paper is still valid.

引用

页码：1609 / 1612

页数：4

共 4 条

[1] Finite element methods for surface PDEs [J].

Dziuk, Gerhard ;

Elliott, Charles M. .

ACTA NUMERICA, 2013, 22 :289-396

[2] Scalar conservation laws on moving hypersurfaces [J].

Dziuk, Gerhard ;

Kroener, Dietmar ;

Mueller, Thomas .

INTERFACES AND FREE BOUNDARIES, 2013, 15 (02) :203-236

[3] CONVERGENCE OF DZIUK'S SEMIDISCRETE FINITE ELEMENT METHOD FOR MEAN CURVATURE FLOW OF CLOSED SURFACES WITH HIGH-ORDER FINITE ELEMENTS [J].

Li, Buyang .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 59 (03) :1592-1617

[4]

Mantegazza C., 2011, Lecture Notes on Mean Curvature Flow, Volume 290 of Progress in Mathematics

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