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CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW.

Authors :
CHANGQING YE
JUNZHI CUI
Source :
SIAM Journal on Numerical Analysis. 2021, Vol. 59 Issue 6, p2823-2842. 20p.
Publication Year :
2021

Abstract

Convergence of Dziuk's fully discrete linearly implicit scheme which was proposed in [G. Dziuk, Math. Models Methods Appl. Sci., 4 (1994), pp. 589--606] for curve shortening flow still remains open. In this paper, we prove that this scheme has an optimal error estimate in the H¹-norm. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MATHEMATICS

Details

Language :
English
ISSN :
00361429
Volume :
59
Issue :
6
Database :
Academic Search Index
Journal :
SIAM Journal on Numerical Analysis
Publication Type :
Academic Journal
Accession number :
154352660
Full Text :
https://doi.org/10.1137/21M1391626