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• W3141365573 abstract "Qingshan LiDepartment of Mathematics, Zhengzhou University, Zhengzhou 450001, ChinaEmail: liqingshan@zzu.edu.cnHuixia SunCollege of Science, Henan University of Technology, Zhengzhou 450001, ChinaEmail: shunhuixia@163.comShaochun ChenDepartment of Mathematics, Zhengzhou University, Zhengzhou 450001, ChinaEmail: shchchen@zzu.edu.cnAbstractThe main aim of this paper is to study the convergence properties of a low order mixedfinite element for the Stokes problem under anisotropic meshes. We discuss the anisotropicconvergence and superconvergence independent of the aspect ratio. Without the shaperegularity assumption and inverse assumption on the meshes, the optimal error estimatesand natural superconvergence at central points are obtained. The global superconvergencefor the gradient of the velocity and the pressure is derived with the aid of a suitablepostprocessing method. Furthermore, we develop a simple method to obtain the supercloseproperties which improves the results of the previous works.Mathematics subject classification: 65N30.Key words: Mixed finite element, Stokes problem, Anisotropic meshes, Superconvergence,Shape regularity assumption and inverse assumption." @default.
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• W3141365573 date "2008-01-01" @default.
• W3141365573 modified "2023-09-23" @default.
• W3141365573 title "CONVERGENCE OF A MIXED FINITE ELEMENT FOR THE STOKES PROBLEM ON ANISOTROPIC MESHES" @default.
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