ERROR ANALYSIS FOR THE ELASTIC FLOW OF PARAMETRIZED CURVES

被引：1

作者：

Deckelnick, Klaus ^{[1
]}

Dziuk, Gerhard

机构：

[1] Univ Magdeburg, Inst Anal & Numer, D-39106 Magdeburg, Germany

来源：

MATHEMATICS OF COMPUTATION | 2009年 / 78卷 / 266期

关键词：

FINITE-ELEMENT-METHOD; COMPUTATION; EQUATIONS; EVOLUTION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze a semidiscrete numerical scheme for approximating the evolution of parametric curves by elastic flow in R(n). The fourth order equation is split into two coupled second order problems, which are approximated by linear finite elements. We prove error bounds for the resulting scheme and present numerical test calculations that confirm our analysis.

引用

页码：645 / 671

页数：27

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