期刊文献+

The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece 被引量:3

The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece
原文传递
导出
摘要 This paper proposes a new method for the construction of Bernstein-Bezier algebraic hypersurface on a simplex with prescribed topology. The method is based on the combinatorial patchworking of Viro method. The topology of the Viro Bernstein-Bezier algebraic hypersurface piece is also described. This paper proposes a new method for the construction of Bernstein-Bézier algebraic hypersurface on a simplex with prescribed topology.The method is based on the combinatorial patchworking of Viro method.The topology of the Viro Bernstein-Bézier algebraic hypersurface piece is also described.
出处 《Science China Mathematics》 SCIE 2012年第6期1269-1279,共11页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos.11071031,60533060,11101366,10771189) the NSFC-Guangdong Joint Fund (Grant No. U0935004) the Zhejiang Provincial Natural Science Foundation (Grant Nos. Y7080068,Y6100126)
关键词 Viro method Bernstein-Bezier polynomial Bernstein-Bezier algebraic hypersurface piece Newtonpolytope patchwork chart 伯恩斯坦 代数曲面 曲面片 塞尔 拓扑结构
  • 相关文献

参考文献7

二级参考文献123

  • 1杨路,侯晓荣,夏壁灿.A complete algorithm for automated discovering of a class of inequality-type theorems[J].Science in China(Series F),2001,44(1):33-49. 被引量:24
  • 2H. Blum,Q. Lin,R. Rannacher.Asymptotic error expansion and Richardson extranpolation for linear finite elements[J]. Numerische Mathematik . 1986 (1)
  • 3Babuska I,Rheinboldt W C.A posteriori error estimates for the finite element method. International Journal for Numerical Methods in Engineering . 1978
  • 4Babuska I,Strouboulis T.The Finite Element Method and Its Reliability. . 2001
  • 5Zienkiewicz O C,Zhu J Z.The superconvergence patch recovery (SPR) and adaptive finite element refinement. Computer Methods . 1992
  • 6Bank,R.E.,Xu,J.Asymptotically exact a posteriori error estimators, part I: Grids with superconvergence. SIAM Journal on Numerical Analysis . 2003
  • 7Bramble,J.H.,Hilbert,S.R.Estimation of linear functionals on Sobolev spaces with applications to Fourier transforms and spline interpolation. SIAM Journal on Numerical Analysis . 1970
  • 8C.M. Chen,Y.Q. Huang.High Accuracy Theory of Finite Element Methods (in Chinese). . 1995
  • 9Jr.,Douglas,J.,Dupont,T.,Wheeler,M.Some superconvergence results for anH′-Galerkin procedure for the heat equation. Lecture Notes in Comp. Sci . 1974
  • 10Douglas,J. J.,Dupont,T.,Wheeler,M. F.An L∞ estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials. RAIRO Anal. Numér . 1974

共引文献6

同被引文献19

引证文献3

二级引证文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部