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一类强非线性二阶椭圆问题混合元方法的最大模误差估计 被引量:1

MAXIMUM NORM ERROR ESTIMATES FOR A MIXED METHOD FOR A STRONGLY NONLINEAR SECOND ORDER ELLIPTIC PROBLEM
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摘要 本文利用正规格林函数及对偶论证技术证明了一类强非线性二阶椭圆问题混合元方法对函数的L2投影具有几乎超收敛一阶的最大模误差估计,对伴随向量函数具有拟最优最大模误差估计. Using the regularized Greens functions and a duality argument, it is proved that the mixed finite element method proposed in this paper possesses the superconvergence by almost one order maximum norm estimates for the L 2 projection of the function and quasi optimal maximum norm estimates for the associated vector function for a strongly nonlinear second order elliptic problem.
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 1999年第1期11-16,共6页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词 非线性 椭圆问题 混合元 最大模 误差估计 Nonlinear, Elliptic Problem, Mixed Method, Maximum Norm.
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参考文献3

  • 1陈焕祯.二阶拟线性椭圆问题混合元方法的最大模估计[J].高等学校计算数学学报,待发表,.
  • 2Wang Junping,Numer Math,1989年,55卷,401页
  • 3陈焕祯,高等学校计算数学学报

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  • 10徐玉佩,邱元锋.求解地下水质污染问题的一种纯对流型概率统计模型[J].武汉水利电力大学学报,1999,32(1):13-16. 被引量:4

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