| 拟线性椭圆问题多水平有限元方法的后验误差估计 |
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| 作者单位： | ;1.信阳师范学院数学与统计学院;2.信阳师范学院旅游学院 |
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| 摘 要： | 考虑二阶拟线性椭圆问题的多水平有限元方法.利用有限元方法精确解和多水平算法解之间的超逼近性质,得到了该问题多水平有限元方法的后验误差估计子.数值算例验证了该理论的正确性.
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| 关 键 词： | 多水平方法 后验误差估计 拟线性 |
A Posteriori Error Estimates of Multi-Level Finite Element Methods for Second Order Quasi-Linear Elliptic Problems |
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| Institution: | ,College of Mathematics and Statistics,Xinyang Normal University,College of Tourism,Xinyang Normal University |
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| Abstract: | Multi-level finite element methods were considered for quasi-linear elliptic problems. By the superconvergence property between the exact solution of finite element method and the solution of the multi-level algorithm,the posteriori error estimators for this problems were obtained. Numerical experiments confirmed the theoretical analysis. |
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| Keywords: | multilevel methods posteriori error estimates quasi-linear |
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