Finite element error bounds for a curve shrinking with prescribed normal contact to a fixed boundary

被引：13

作者：

Deckelnick, K

Elliott, CM

机构：

[1] Univ Freiburg, Inst Angew Math, D-79104 Freiburg, Germany

[2] Univ Sussex, Sch Math Sci, Ctr Math Anal & Applicat, Brighton BN1 9QH, E Sussex, England

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1998年 / 18卷 / 04期

关键词：

D O I：

10.1093/imanum/18.4.635

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We approximate the evolution of a curve subject to motion by curvature by linear finite elements. The curve evolves inside a given domain Omega and meets partial derivative Omega orthogonally. We derive optimal bounds for the error with respect to the L-2- and H-1-norms and present some computed examples.

引用

页码：635 / 654

页数：20

共 12 条

[1] A NUMERICAL-METHOD FOR TRACKING CURVE NETWORKS MOVING WITH CURVATURE MOTION [J].