Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

被引：6

作者：

Yan, Yue ^{[1
,2
]}

Li, Weijia ^{[2
]}

Chen, Wenbin ^{[2
,3
]}

Wang, Yanqiu ^{[4
]}

机构：

[1] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[4] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2018年 / 24卷 / 02期

关键词：

Fourth-order elliptic problems; mixed finite element; optimal convergence; CONVEX SPLITTING SCHEMES; NONLOCAL CAHN-HILLIARD; ENERGY STABLE SCHEME; THIN-FILM MODEL; DIFFERENCE SCHEME; 2ND-ORDER;

D O I：

10.4208/cicp.OA-2017-0168

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A Ciarlet-Raviart type mixed finite element approximation is constructed and analyzed for a class of fourth-order elliptic problems arising from solving various gradient systems. Optimal error estimates are obtained, using a super-closeness relation between the finite element solution and the Ritz projection of the PDE solution. Numerical results agree with the theoretical analysis.

引用

页码：510 / 530

页数：21

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