SUPERCLOSENESS

作品数：9被引量：69H指数：3
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相关期刊：《Journal of Computational Mathematics》《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》更多>>
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THE SUPERCLOSENESS OF THE FINITE ELEMENT METHOD FOR A SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEM ON A BAKHVALOV-TYPE MESH IN 2D
《Acta Mathematica Scientia》2024年第4期1572-1593,共22页Chunxiao ZHANG Jin ZHANG 
supported by National Natural Science Foundation of China(11771257);the Shandong Provincial Natural Science Foundation of China(ZR2023YQ002,ZR2023MA007,ZR2021MA004)。
For singularly perturbed convection-diffusion problems,supercloseness analysis of the finite element method is still open on Bakhvalov-type meshes,especially in the case of 2D.The difficulties arise from the width of ...
关键词：singularly perturbed CONVECTION-DIFFUSION finite element method SUPERCLOSENESS Bakhvalov-type mesh 
Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second‑Order Elliptic Problems on Cartesian Grids
《Communications on Applied Mathematics and Computation》2022年第2期437-476,共40页Mahboub Baccouch 
This research was supported by the NASA Nebraska Space Grant(Federal Grant/Award Number 80NSSC20M0112).
This paper is concerned with convergence and superconvergence properties of the local discontinuous Galerkin(LDG)method for two-dimensional semilinear second-order elliptic problems of the form−Δu=f(x,y,u)on Cartesia...
关键词：Semilinear second-order elliptic boundary-value problems Local discontinuous Galerkin method A priori error estimation Optimal superconvergence SUPERCLOSENESS Gauss-Radau projections 
SUPERCONVERGENCE ANALYSIS OF LOW ORDER NONCONFORMING MIXED FINITE ELEMENT METHODS FOR TIME-DEPENDENT NAVIER-STOKES EQUATIONS
《Journal of Computational Mathematics》2021年第1期63-80,共18页Huaijun Yang Dongyang Shi Qian Liu 
This work is supported by National Natural Science Foundation of China(Nos.11671369,11271340).
In this paper,the superconvergence properties of the time-dependent Navier-Stokes equations are investigated by a low order nonconforming mixed finite element method(MFEM).In terms of the integral identity technique,t...
关键词：Navier-Stokes equations Nonconforming MFEM Supercloseness and super-convergence. 
Nonconforming Finite Element Methods for the Constrained Optimal Control Problems Governed by Nonsmooth Elliptic Equations
《Acta Mathematicae Applicatae Sinica》2020年第2期471-481,共11页Hong-bo GUAN Dong-yang SHI 
supported by the National Natural Science Foundation of China(Nos.11501527,11671369).
In this paper,nonconforming finite element methods(FEMs)are proposed for the constrained optimal control problems(OCPs)governed by the nonsmooth elliptic equations,in which the popular EQr1 ot element is employed to a...
关键词：NONCONFORMING finite element SUPERCLOSENESS and SUPERCONVERGENCE optimal control problems NONSMOOTH ELLIPTIC equations goal-oriented error estimate 
LOCAL SUPERCONVERGENCE OF CONTINUOUS GALERKIN SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS OF PANTOGRAPH TYPE被引量：3
《Journal of Computational Mathematics》2016年第2期186-199,共14页Xiuxiu Xu Qiumei Huang Hongtao Chen 
Acknowledgments. The second author is supported by NSFC （Nos. 11571027, 91430215）, by Beijing Nova Program （No. 2151100003150140） and by the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions （No. CIT＆TCD201504012）. The third author is supported by the Natural Science Foundation of Fujian Province of China （No.2013J05015）, by NSFC （No.11301437）, and by the Fundamental Research ~nds for the Central Universities （No. 20720150004）.
This paper is concerned with the superconvergent points of the continuous Galerkin solutions for delay differential equations of pantograph type. We prove the local nodal superconvergence of continuous Galerkin soluti...
关键词：Pantograph delay differential equations Uniform mesh Continuous Galerkinmethods SUPERCLOSENESS Superconvergence. 
SUPERCONVERGENCE ANALYSIS OF THE STABLE CONFORMING RECTANGULAR MIXED FINITE ELEMENTS FOR THE LINEAR ELASTICITY PROBLEM被引量：15
《Journal of Computational Mathematics》2014年第2期205-214,共10页Dongyang Shi Minghao Li 
In this paper, we consider the linear elasticity problem based on the Hellinger-Reissner variational principle. An O（h2） order superclose property for the stress and displacement and a global superconvergence result...
关键词：ELASTICITY SUPERCLOSENESS Global superconvergence. 
Supercloseness of the Divergence-Free Finite Element Solutions on Rectangular Grids
《Communications in Mathematics and Statistics》2013年第2期143-162,共20页Yunqing Huang Shangyou Zhang 
By the standard theory,the stable Qk+1,k−Qk,k+1/Qdck divergence-free element converges with the optimal order of approximation for the Stokes equations,but only order k for the velocity in H1-norm and the pressure in...
关键词：Mixed finite element Stokes equations Divergence-free element Quadrilateral element Rectangular grids SUPERCLOSENESS SUPERCONVERGENCE 
Superconvergence of tricubic block finite elements被引量：2
《Science China Mathematics》2009年第5期959-972,共14页LIU JingHong SUN HaiNa ZHU QiDing 
supported by Natural Science Foundation of Ningbo City (Grant No. 2008A610020);National Natural Science Foundation of China (Grant No. 10671065);the Scientific Research Fund of Hunan Provincial Education Department (Grant Nos. 07C576, 03C212)
In this paper, we first introduce interpolation operator of projection type in three dimen- sions, from which we derive weak estimates for tricubic block finite elements. Then using the estimate for the W 2, 1-seminor...
关键词：block finite element interpolation operator of projection type SUPERCONVERGENCE SUPERCLOSENESS weak estimate discrete derivative Green’s function 65N30 
AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV EQUATIONS被引量：50
《Journal of Computational Mathematics》2009年第2期299-314,共16页Dongyang Shi Haihong Wang Yuepeng Du 
supported by the National Natural Science Foundation of China No.10671184
An anisotropic nonconforming finite element method is presented for a class of nonlinear Sobolev equations. The optimal error estimates and supercloseness are obtained for both semi-discrete and fully-discrete approxi...
关键词：Nonlinear Sobolev equations ANISOTROPIC Nonconforming finite element SUPERCLOSENESS Global superconvergence. 
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