CONVERGENCE OF A FINITE-ELEMENT METHOD FOR NONPARAMETRIC MEAN-CURVATURE FLOW

被引：30

作者：

DECKELNICK, K

DZIUK, G

机构：

[1] Institut für Angewandte Mathematik, Freiburg I.Br, D-79104, Hermann-Herder-Str.

来源：

NUMERISCHE MATHEMATIK | 1995年 / 72卷 / 02期

关键词：

D O I：

10.1007/s002110050166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Convergence for the spatial discretization by linear finite elements of the non-parametric mean curvature flow is proved under natural regularity assumptions on the continuous solution. Asymptotic convergence is also obtained for the time derivative which is proportional to mean curvature. An existence result for the continuous problem in adequate spaces is included.

引用

页码：197 / 222

页数：26

共 9 条

[1] L-INFINITY-CONVERGENCE OF LINEAR FINITE-ELEMENT APPROXIMATION TO NON-LINEAR PARABOLIC PROBLEMS [J].