期刊文献+

一种基于梯度恢复后验误差估计的ZZ改进方法 被引量:1

A Modified Posteriori Error Estimate Based on Gradient Recovery
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摘要 基于三角网格剖分线性插值,对h型自适应有限元中的后验误差估计的ZZ方法进行了改进,提出以单元为中心构造单元块的方法。数值实验表明,该方法比传统的ZZ方法有较高的精度及较快的收敛速度。 Posteriori error estimate play a key role in the adaptive finite element method. A posteriori error estimate decide the convergent speed of an algorithm. Based on the traditional ZZ method, a modified posteriori error estimate for the triangle - line - interpolation is proposed in this paper. Numerical experiments show that this algorithm is more accurate and fast convergence rate.
出处 《贵州工业大学学报(自然科学版)》 CAS 2008年第3期5-7,共3页 Journal of Guizhou University of Technology(Natural Science Edition)
基金 国家高科技发展计划项目(863-2006AA06Z105 2007AA06Z134)资助 国家大学生创新性实验计划立项项目(LA07033)
关键词 h-自适应有限元 后验误差 残值 梯度恢复 h - adaptive finite element posteriori error residual gradient recovery
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参考文献5

  • 1O. C. Zienkiewez,J. P, J. Z. Zhu. A simple error estimator and adaptive procedure for practical engineering analysis[J]. Int. J. Number. Methods Engrg,1987, (24) :89 - 103.
  • 2O. C. Zienkiewiez, B. Boroomand, J. Z. Zhu, Recovery procedures in error estimation and adaptivity Part I: Adaptivlty in linear problems [ J ]. Cumput Methods Appl Mech Engrg, 1999, (176) : 111 - 125.
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同被引文献25

  • 1王若,王妙月,底青云.频率域线源大地电磁法有限元正演模拟[J].地球物理学报,2006,49(6):1858-1866. 被引量:50
  • 2刘云,王绪本.自适应地形电磁场双二次变化MT二维有限元数值模拟[J].第9届中国国际地球电磁学术讨论会,2009.
  • 3Zienkiewiez O C, Taylor R L. The Finite-element Method (fifth edition) Volume I: The basic. Woburn, MA: Butterworth-Heinemann, 2000.
  • 4Key K, Weiss C. Adaptive finite-element modeling using unstructured grids: The 2D magnetotelluric example. Geophysics, 2006,71 (6) : G291-G299.
  • 5Li Y G, Key K. 2D marine controlled-source electromagnetic modeling: Part 1 An adaptive finite-element algorithm. Geophysics, 2007,72 (2) : WA51-WA62.
  • 6Franke A, B? rner R U, Spitzer K. Adaptive unstructured grid finite element simulation of two-dimensional magnetotelluric fields for arbitrary surface and seafloor topography. Geophys. J. Int. 2007,171,71-86.
  • 7O. C. Zienkiewcz,J. P,J. Z. Zhu. A simple error estimator and adaptive procedure for practical engineering analysis[J]. Int. J. Numer. Methods Engrg, 1987 (24) : 89-103.
  • 8O. C. Zienkiewcz,B. Boroomand,J. Z. Zhu,Recovery procedures in error estimation and adaptivity Part h Adaptivity in linear problem [J]. Cumput Methods Appl Meeh Engrg, 1999 (176):111-125.
  • 9Zienkiewicz O C, Zhu J Z. Super-convergent patch recovery and a posteriori error estimates. Part I: the recovery technique. Int. J. Numer. Methods Eng. 1992,33(3):1331-1364.
  • 10Zienkiewicz O C, Zhu J Z. Super-convergent patch recovery and a posteriori error estimates. Part II : error estimates and adaptivity. Int. J. Numer. Methods Eng. 1992,33(3):1365-1382.

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