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TRIANGULATIONS: 作品数：24被引量：7H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：刘彦佩任韩曹敦虔刘焕文刘焕文更多>>; 相关机构：广西民族大学北方交通大学广西民族学院红河学院更多>>; 相关期刊：《Journal of Computational Mathematics》《Tsinghua Science and Technology》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》更多>>; 相关基金：国家自然科学基金云南省教育厅科学研究基金广西研究生教育创新计划广西壮族自治区自然科学基金更多>>

Accuracy Raising Technique for Multivariate Spline Quasi-Interpolants over Type-2 Triangulations: 《Journal of Mathematical Research with Applications》2022年第3期318-330,共13页Shenggang ZHANG Chungang ZHU Qinjiao GAO; Supported by the National Natural Science Foundation of China(Grant Nos.12071057;11671068;12001487);the Characteristic&Preponderant Discipline of Key Construction Universities in Zhejiang Province(Zhejiang Gongshang University-Statistics)。; Given a multivariate quasi-interpolation operator with the partition of unity property,we propose a method to raise the accuracy with simple knots.The resulting operators possess higher accuracy while not requiring an...; 关键词：QUASI-INTERPOLATION polynomial reproduction multivariate spline numerical solution

Acute Triangulations of the Surface of Circular Cone: 《Open Journal of Discrete Mathematics》2022年第2期17-27,共11页Xiao Feng Penghao Cao Zhikui Chang; In this paper, we prove that the surface of any circular cone can be triangulated into 8 non-obtuse and 20 acute triangles. Furthermore, we also show that the bounds are both the best possible.; 关键词：Acute Triangulation Surface of Circular Cone Gauss-Bonnet Formula

An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations: 《Science China Mathematics》2021年第11期2579-2602,共24页Shuo Zhang; supported by National Natural Science Foundation of China(Grant Nos.11871465 and 11471026);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB 41000000)。; This paper presents a nonconforming finite element scheme for the planar biharmonic equation,which applies piecewise cubic polynomials(P_(3))and possesses O(h^(2))convergence rate for smooth solutions in the energy no...; 关键词：biharmonic equation optimal cubic finite element scheme general triangulation discretized Stokes complex discrete strengthened Miranda-Talenti estimate

Competition Numbers of Several Kinds of Triangulations of a Sphere: 《Open Journal of Discrete Mathematics》2017年第2期54-64,共11页Yongqiang Zhao Zhiming Fang Yonggang Cui Guoyan Ye Zhijun Cao; It is hard to compute the competition number for a graph in general and characterizing a graph by its competition number has been one of important research problems in the study of competition graphs. Sano pointed out...; 关键词：COMPETITION Graph COMPETITION Number Edge CLIQUE COVER Vertex CLIQUE COVER TRIANGULATION of a SPHERE

Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles-Ⅱ: 《Acta Mathematica Sinica,English Series》2014年第8期1435-1464,共30页Ana BREDA Robert DAWSON Patrícia RIBEIRO; Supported by FEDER funds through COMPETE Operational Programme Factors of Competitiveness(Programa Operacional Factores de Competitividade);Supported by FSE;Supported by Portuguese funds through the Center for Researchand Development in Mathematics and Applications(University of Aveiro);the Portuguese Foundation for Science and Technology(FCT Fundao para a Ciência e a Tecnologia);project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690;supported partially by an NSERC Canada Discovery Grant; In this work,we give a complete classification of spherical dihedral f-tilings when the prototiles are two noncongruent isosceles triangles with certain adjacency pattern.As it will be shown,this class is composed by ...; 关键词：Spherical tilings dihedral TRIANGULATIONS f-tilings spherical trigonometry

Chromatic Sums of Biloopless Nonseparable Near-Triangulations on the Projective Plane: 《Acta Mathematicae Applicatae Sinica》2013年第1期123-134,共12页Zhao-xiang Li Yan-pei Liu Bing-feng Si; Supported by the National Natural Science Foundation of China (No. 10771225; 10871021; 71071016) ;Fundamental Research Funds for the Central Universities; In this paper, the chromatic sum functions of rooted biloopless nonsepavable near-triangulations on the sphere and the projective plane are studied. The chromatic sum function equations of such maps are obtained. From...; 关键词：chromatic sum function biloopless TRIANGULATION enumerating function

Chromatic Sums of Nonseparable Near-Triangulations on the Projective Plane: 《Acta Mathematica Sinica,English Series》2012年第11期2185-2196,共12页Zhao Xiang LI Wei HE; Supported by National Natural Science Foundation of China (Grant No. 10771225); In this paper, we study the chromatic triangulations on the sphere and the projective plane. sum functions of rooted nonseparable near- The chromatic sum function equations of such maps are obtained. From the chromati...; 关键词：TRIANGULATION chromatic sum function enumerating function asymptotic evaluation

Tchebyshev Approximation by S^0_1(△) over Some Special Triangulations: 《Journal of Mathematical Research with Applications》2012年第1期1-10,共10页Ren Hong WANG Wei DAN; Supported by the National Natural Science Foundation of China (Grant Nos. 10271022;60373093;60533060;11101366;61100130);the Innovation Foundation of the Key Laboratory of High-Temperature Gasdynamics of Chinese Academy of Sciences; The critical point set plays a central role in the theory of Tchebyshev approximation. Generally, in multivariate Tchebyshev approximation, it is not a trivial task to determine whether a set is critical or not. In th...; 关键词：Tchebyshev approximation bivariate splines S^01（△）.

The Cayley-Bacharach Theorem for Continuous Piecewise Algebraic Curves over Cross-cut Triangulations被引量：1: 《Acta Mathematica Sinica,English Series》2011年第9期1717-1724,共8页Renhong WANG Shaofan WANG; The first author is supported by National Natural Science Foundation of China （Grant Nos. U0935004, 11071031, 11001037, 10801024） and the Fundamental Research Funds for the Central Universities （Grant Nos. DUT10ZDll2, DUT10JS02）; the second author is supported by the 973 Program （2011CB302703）, National Natural Science Foundation of China （Grant Nos. U0935004, 60825203, 61033004, 60973056, 60973057, 61003182）, and Beijing Natural Science Foundation （4102009） We thank the referees for valuable suggestions which improve the presentation of this paper.; A piecewise algebraic curve is a curve determined by the zero set of a bivariate spline function. In this paper, we propose the Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangu...; 关键词：Bivariate spline function piecewise algebraic curve Cayley-Bacharach theorem

含退化边三角剖分下二元三次C^1样条空间的维数: 《高等学校计算数学学报》2010年第3期209-216,共8页衣娜; 广西自然科学基金(0575029;0639008);广西研究生教育创新计划(2006106080701M10)资助; 1二元三次一阶光滑样条函数二元样条函数空间在数值逼近、曲面拟合、有限元方法(FEM)、散乱数据插值、多元数值积分、微分和积分方程数值解、计算机辅助几何设计(CAGD)、计算机图形学、信号过程和数学模型等领域有着广泛的应用.而空间S_...; 关键词：bivariate cubic spline space dimension minimal determining set unconstricted triangulations degenerate edges.

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