Analysis of a mixed finite element method for a phase field bending elasticity model of vesicle membrane deformation
文献类型：期刊论文
| 作者 | Du, Qiang; Zhu, Liyong |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2006-05-01 |
| 卷号 | 24期号:3页码:265-280 |
| 关键词 | bio-membrane elastic bending energy phase field finite element nested mixed saddle point formulation optimal error estimates |
| ISSN号 | 0254-9409 |
| 英文摘要 | In this paper, we study numerical approximations of a recently proposed phase field model for the vesicle membrane deformation governed by the variation of the elastic bending energy. To overcome the challenges of high order nonlinear differential systems and the nonlinear constraints associated with the problem, we present the phase field bending elasticity model in a nested saddle point formulation. A mixed finite element method is then employed to compute the equilibrium configuration of a vesicle membrane with prescribed volume and surface area. Coupling the approximation results for a related linearized problem and the general theory of Brezzi-Rappaz-Raviart, optimal order error estimates for the finite element approximations of the phase field model are obtained. Numerical results are provided to substantiate the derived estimates. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000237878800004 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2770]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Du, Qiang |
| 作者单位 | 1.Penn State Univ, Dept Math, University Pk, PA 16802 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, Qiang,Zhu, Liyong. Analysis of a mixed finite element method for a phase field bending elasticity model of vesicle membrane deformation[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2006,24(3):265-280. |
| APA | Du, Qiang,&Zhu, Liyong.(2006).Analysis of a mixed finite element method for a phase field bending elasticity model of vesicle membrane deformation.JOURNAL OF COMPUTATIONAL MATHEMATICS,24(3),265-280. |
| MLA | Du, Qiang,et al."Analysis of a mixed finite element method for a phase field bending elasticity model of vesicle membrane deformation".JOURNAL OF COMPUTATIONAL MATHEMATICS 24.3(2006):265-280. |
入库方式： OAI收割
来源：数学与系统科学研究院
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