检索结果-南通市图书馆

SUPERCONVERGENCE ANALYSIS FOR TIME-FRACTIONAL DIFFUSION EQUATIONS WITH NONCONFORMING MIXED FINITE ELEMENT METHOD

Journal of Computational Mathematics 2019年第4期37卷 488-505页

作者： Houchao Zhang Dongyang Shi School of Mathematics and Statistics Pingdingshan University Pingdingshan 467000 China School of Mathematics and Statistics Zhengzhou University Zhengzhou 450001 China

In this paper, a fully discrete scheme based on the LI approximation in temporal direction for the fractional derivative of order in (0,1) and nonconforming mixed finite element method (MFEM) in spatial direction is established. First, we prove a novel result of the consistency error estimate with order O(h^2)of EQ1^rot element (see Lemma 2.3). Then, by using the proved character of EQ1^rot element, we present the superconvergent estimates for the original variable u in the broken H^1-norm and the flux →p =△u in the (L^2)^2-norm under a weaker regularity of the exact solution. Finally, numerical results are provided to confirm the theoretical analysis.

关键词： Nonconforming MFEM LI method Time-fractional diffusion equations Superconvergence

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

New Residual Based Stabilization Method for the Elasticity Problem

引用

Advances in Applied Mathematics and Mechanics 2018年第1期10卷 100-113页

作者： Minghao Li Dongyang Shi Ying Dai College of Science Henan University of TechnologyZhengzhouHenan 450001China School ofMathematics and Statistics ZhengzhouUniversityZhengzhouHenan 450001China School of Aerospace Engineering and AppliedMechanics Tongji UniversityShanghai 200092China

In this paper,we consider the mixed finite element method(MFEM)of the elasticity problem in two and three dimensions(2D and 3D).We develop a new residual based stabilization method to overcome the inf-sup difficulty,and use Langrange elements to approximate the stress and displacement.The new method is unconditionally stable,and its stability can be obtained directly from C´ea’s lemma.Optimal error estimates for the H1-norm of the displacement and H(div)-norm of the stress can be obtained at the same time.Numerical results show the excellent stability and accuracy of the new method.

关键词： Elasticity MFEM residuals stabilization

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

UNCONDITIONAL SUPERCONVERGENCE ANALYSIS OF AN Ri-GALERKIN MIXED FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL GINZBURG-LANDAU EQUATION

引用

Journal of Computational Mathematics 2019年第4期37卷 437-457页

作者： Dongyang Shi Junjun Wang School of Mathematics and Statistics Zhengzhou University Zhengzhou 450001 China

An H^1-Galerkin mixed finite element method (MFEM) is discussed for the two-dimensional Ginzburg-Landau equation with the bilinear element and zero order Raviart-Thomas elemen t (Q11+Q10×Qo01). A linearized Crank-Nicolson fully-discrete scheme is developed and a time-discrete system is introduced to split the error into two parts which are called the temporal error and the spatial error, respectively. On one hand, the regularity of the time-discrete system is deduced through the temporal error estimation. On the other hand, the superconvergent estimates of u in H^1-norm and →q in H(div;Ω)-norm with order 0(h^2+τ^2) are obtained unconditionally based on the achievement of the spatial result. At last, a numerical experiment is included to illustrate the feasibility of the proposed method. Here, h is the subdivision parame ter and τ is the time step.

关键词： The two-dimensional Ginzburg-Landau equation H^Galerkin MFEM Temporal and spatial errors Unconditionally Superconvergent resillts

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：