MIXED FINITE ELEMENTS FOR PARABOLICINTEGRO-DIFFERENTIAL EQUATIONS

被引：0

作者：

孙澎涛

机构：

来源：

Acta Mathematica Scientia | 1997年 / 03期

关键词：

Integro-differential Equations; Mixed Finite Element; Error Estimates;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we study mixed finite elements for parabolic integro-differential equations, and introduce a kind of nonclassical mixed projection, its optimal L2 and h-s estimates are obtained. We define semi-discrete and full-discrete mixed finite elements for the equations, and obtain the optimal L2 error estimates.

引用

页码：319 / 329

页数：11

共 50 条

[41] AUGMENTED MIXED FINITE ELEMENT METHODS FOR THE STATIONARY STOKES EQUATIONS [J].

Figueroa, Leonardo E. ;

Gatica, Gabriel N. ;

Marquez, Antonio .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 31 (02) :1082-1119

[42] A NONCONFORMING PRIMAL MIXED FINITE ELEMENT METHOD FOR THE STOKES EQUATIONS [J].

Cho, Sungmin ;

Park, Bun-Jar .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (06) :1655-1668

[43] A FINITE ELEMENT METHOD FOR TIME FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS [J].

Ford, Neville J. ;

Xiao, Jingyu ;

Yan, Yubin .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2011, 14 (03) :454-474

[44] A finite element method for time fractional partial differential equations [J].

Neville J. Ford ;

Jingyu Xiao ;

Yubin Yan .

Fractional Calculus and Applied Analysis, 2011, 14 :454-474

[45] Compact finite difference method for integro-differential equations [J].

Zhao, Jichao ;

Corless, Robert M. .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 177 (01) :271-288

[46] A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro-differential equations [J].

Lu, Zuliang ;

Liu, Dayong .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[47] Lipschitz regularity of solutions for mixed integro-differential equations [J].

Barles, Guy ;

Chasseigne, Emmanuel ;

Ciomaga, Adina ;

Imbert, Cyril .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (11) :6012-6060

[48] Modeling transport and biodegradation of nitrates using a mixed finite elements-finite volumes approach [J].

Gallo, C ;

Manzini, G .

COMPUTATIONAL METHODS IN WATER RESOURCES XI, VOL 1: COMPUTATIONAL METHODS IN SUBSURFACE FLOW AND TRANSPORT PROBLEMS, 1996, :169-176

[49] A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids [J].

Hu Jun ;

Zhang ShangYou .

SCIENCE CHINA-MATHEMATICS, 2015, 58 (02) :297-307

[50] Numerical simulation of chemotactic bacteria aggregation via mixed finite elements [J].

Marrocco, A .

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2003, 37 (04) :617-630

← 1 2 3 4 5 →