Error analysis of a finite element method for the Willmore flow of graphs

被引：0
|
作者：
Deckelnick, K
Dziuk, G
机构：
[1] Univ Magdeburg, Inst Anal & Numer, D-39106 Magdeburg, Germany
[2] Univ Freiburg, Inst Angew Math, D-79104 Freiburg, Germany
来源：
INTERFACES AND FREE BOUNDARIES | 2006年 / 8卷 / 01期
关键词：
Willmore flow; fourth order parabolic problem; finite element; mixed method; error estimates;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The evolution of two-dimensional graphs under Willmore flow is approximated by a continuous-in-time finite element method. The highly nonlinear fourth order problem is split into two coupled second order problems using height and a weighted mean curvature as variables. We prove a-priori error estimates for the resulting time-continuous scheme and present results of test calculations.
引用
收藏
页码：21 / 46
页数：26
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