On the superconvergence of some quadratic integro-splines at the mid-knots of a uniform partition

Lang Feng-Gong; Xu Xiao-Ping

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On the superconvergence of some quadratic integro-splines at the mid-knots of a uniform partition

机译：在均匀分区中结的一些二次积分片的超级度验收

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摘要

In this paper, we illustrate some new superconvergence of four kinds of quadratic integro-splines. It is proved that these quadratic integro-splines possess superconvergence in function values approximation (fourth order convergent) and in second-order derivatives approximation (second order convergent) at the mid-knots of a uniform partition. (C) 2018 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2018年第2018期|共8页
作者
Lang Feng-Gong; Xu Xiao-Ping;
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作者单位

Ocean Univ China Sch Math Sci Qingdao 266100 Shandong Peoples R China;

Ocean Univ China Sch Math Sci Qingdao 266100 Shandong Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数值分析;
关键词
Quadratic integro-spline; Superconvergence; Mid-knot;

机译：二次积分样条;超级度验光;中间结;

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专利

1. On the superconvergence of some quadratic integro-splines at the mid-knots of a uniform partition [J] . Lang Feng-Gong, Xu Xiao-Ping Applied mathematics and computation . 2018,第期

机译：在均匀分区中结的一些二次积分片的超级度验收
2. Superconvergence of quadratic finite volume method on triangular meshes [J] . Wang Xiang, Li Yonghai Journal of Computational and Applied Mathematics . 2019,第期

机译：三角网格上二次有限体积法的超级度验收
3. SUPERCONVERGENCE OF A QUADRATIC FINITE ELEMENT METHOD ON ADAPTIVELY REFINED ANISOTROPIC MESHES [J] . Cao Weiming International journal of numerical analysis and modeling . 2018,第1a2期

机译：自适应精制各向异性网格上的二次有限元方法的超级聚合物
4. Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements [C] . Vladimir Shaydurov, Tianshi Xu Finite difference methods, theory and applications . 2015

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5. Superconvergence points in locally uniform finite element meshes for second order two-point boundary value problems [D] . Dunlap, Richard Dwayne 1996

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6. Applying the equivalent uniform dose formulation based on the linear‐quadratic model to inhomogeneous tumor dose distributions: Caution for analyzing and reporting [O] . John. E. McGary, Walter Grant III, S. Y. Woo 2000

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8. Study of Superconvergence by a Computer-Based Approach: Superconvergence of theGradient of the Displacement, The Strain and Stress in Finite Element Solutions for Plane Elasticity [R] . Babuska, I., Strouboulis, T., Upadhyay, C. S., 1994

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On the superconvergence of some quadratic integro-splines at the mid-knots of a uniform partition

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