Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations

被引：0

作者：

Du, Qiang ^{[1
]}

Wang, Xiaoqiang

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Univ Minnesota, Inst Math & Applicat, Minneapolis, MN 55455 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2007年 / 4卷 / 3-4期

关键词：

numerical approximations; finite element; mixed finite element; phase field model; membrane deformation; elastic bending energy; gradient flow; convergence analysis;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study numerical approximations of a recently proposed phase field model for the vesicle membrane deformations governed by the variation of the elastic bending energy. Both the spatial discretization for the equilibrium problem with given volume and surface area constraints and the time discretization of a dynamic problem via gradient flow are considered. Convergence results of the numerical approximations are proved.

引用

页码：441 / 459

页数：19

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