Adaptive finite element method for a phase field bending elasticity model of vesicle membrane deformations

被引：59

作者：

Du, Qiang ^{[1
]}

Zhang, Jian ^{[1
]}

机构：

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

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2008年 / 30卷 / 03期

关键词：

vesicle membrane; phase field; elastic bending energy; a posteriori error estimator; adaptive finite element; mixed finite element;

D O I：

10.1137/060656449

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a three-dimensional adaptive finite element method is developed for a variational phase field bending elasticity model of vesicle membrane deformations. Using a mixed finite element formulation, residual type a posteriori error estimates are derived for the associated nonlinear system of equations and, they are used to introduce the mesh refinement and coarsening. The resulting mesh adaptivity significantly improves the efficiency of the phase field simulation of vesicle membranes and enhances its capability in handling complex shape and topological changes. The effectiveness of the adaptive method is further demonstrated through numerical examples.

引用

页码：1634 / 1657

页数：24

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