| 罗迪凡,赵建斌,喻海元.二阶拟线性方程广义有限元方法的渐近展式和超收敛[J].南华大学学报(自然科学版),2006,20(3):109~112.[.Asymptoic Expansion and Supconvergence of Generalized Finite Element Method for Second Order Quasilinear Equation[J].Journal of University of South China(Science and Technology),2006,20(3):109~112.] |
| 二阶拟线性方程广义有限元方法的渐近展式和超收敛 |
| Asymptoic Expansion and Supconvergence of Generalized Finite Element Method for Second Order Quasilinear Equation |
| 修订日期：2006-06-07 |
| DOI： |
| 中文关键词: 渐近展式 超收敛 广义有限元 拟线性方程 |
| 英文关键词:asymptoic expansion,supconvergence,generalized finite element,quasilinear equation |
| 基金项目: |
| 罗迪凡 赵建斌 喻海元 |
| [1]南华大学数理学院,湖南衡阳421001 [2]湘潭大学数学院,湖南湘潭411105 |
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| 中文摘要: |
| 就一类二阶拟线性椭圆型方程，应用广义有限元方法，给出了有限元函数和导数的渐近展式和超收敛结果．数值例子验证了我们理论分析的正确性． |
| 英文摘要: |
| In this paper,we discuss a class of second order quasi-linear elliptic equation and obtain the asymptotic expansion and superconvergence of finite element function and derivative by using generalized finite element method.The numerical test convinces our analysis. |
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