| 一类四阶奇异非线性椭圆方程的加权模误差估计 |
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| 引用本文： | 曹京平. 一类四阶奇异非线性椭圆方程的加权模误差估计[J]. 数学的实践与认识, 2009, 39(17) |
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| 作者姓名： | 曹京平 |
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| 作者单位： | 内蒙古财经学院,统计与数学学院,内蒙古,呼和浩特,010051 |
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| 基金项目： | 内蒙古教育厅自然科学基金 |
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| 摘 要： | 利用有限元方法研究了一类四阶奇异非线性椭圆方程,利用有限元的逆性质,给出了考虑数值积分影响时的加权H2模误差估计.
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| 关 键 词： | 四阶非线性奇异椭圆问题 有限元逆性质 数值积分公式 加权H2模估计 |
Weighted Norm Error Estimation with Finite Element Method for A Class of Fourth Order Nonlinear Singular Elliptic Problems |
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| CAO Jing-ping. Weighted Norm Error Estimation with Finite Element Method for A Class of Fourth Order Nonlinear Singular Elliptic Problems[J]. Mathematics in Practice and Theory, 2009, 39(17) |
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| Authors: | CAO Jing-ping |
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| Abstract: | A class of fourth order nonlinear elliptic problems with singular coefficient using finite element method was considered, considered the effect of numerical integration, error estimates in weighted H~2 norm was obtainded. |
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| Keywords: | four order nonlinear elliptic boundary value problems with singular coefficients finite element inverse propert numerical integration formula weighted H~2 norm estimate |
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