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小系数二阶偏微分方程的组合稳定有限元方法

COMBINATORIAL STABILIZED FINITE ELEMENT METHOD FOR PARTIAL DIFFERENTICAL EQUATION

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【作者】 周磊周天孝

【Author】 Zhou Lei ;Zhou Tian-xiao(Aeronautic Computing Technique Research Institute)

【机构】 中国航空计算技术研究所

【Abstract】 A second-order linear scalar differential equation including a zeroth order term is approximated by using a new stablized finite element method, which can attenuate the oscillations present using the standard Galerkin method with very small coefficient of the seconder-order term. By the helpness of additional variable which could be static condensated, we generalize the "unusual stabilized finite element method" developed in [1] from linear triangle element to bilinear quartdral element, and we establish a convergence study and obtain successful numerical simulation.

  • 【文献出处】 数值计算与计算机应用 ,JOURNAL OF UNMERICAL METHODS AND COMPUTER APPLICATIONS , 编辑部邮箱 ,1997年04期
  • 【分类号】O241.82
  • 【下载频次】63
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