| 凹角域上半线性椭圆方程的无限元方法 |
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| 引用本文： | 冯慧.凹角域上半线性椭圆方程的无限元方法[J].北京大学学报(自然科学版),1994,30(1):1-5. |
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| 作者姓名： | 冯慧 |
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| 作者单位： | Department of Mathematies，Peking University |
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| 摘 要： | 本文得到了凹角形区域上一类半线性椭圆方程解的正则性，给出了求近似解的无限元方法，证明了无限元方法的收敛性，并且证明了牛顿法求解非线性近似问题的收敛性。
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| 关 键 词： | 半线性 椭圆型方程 无限元法 解 |
Infinite Element Method for Semilinear Elliptie Equation on Concave Domain |
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| FENG Hui.Infinite Element Method for Semilinear Elliptie Equation on Concave Domain[J].Acta Scientiarum Naturalium Universitatis Pekinensis,1994,30(1):1-5. |
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| Authors: | FENG Hui |
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| Abstract: | n this paper, we obtain the regularity of a semilinear elliptie equation on concave domain, the infinite element method and its convergence are presented,we also provethe convergence of Newton Method to solve the nonlinear approximation problem. |
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| Keywords: | Semilinear elliptic equation Infinite element method Singularity |
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