| 二阶椭圆问题新混合元模型的超收敛分析及外推 |
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| 引用本文： | 石东洋,王慧敏. 二阶椭圆问题新混合元模型的超收敛分析及外推[J]. 纯粹数学与应用数学, 2009, 25(4): 630-637 |
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| 作者姓名： | 石东洋 王慧敏 |
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| 作者单位： | 郑州大学数学系,河南,郑州,450052;郑州大学数学系,河南,郑州,450052;河南工程学院数理科学系,河南,郑州,450007 |
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| 摘 要： | 对二阶椭圆问题通过＂增补＂办法导出一个新的混合模型.在各向异性网格下,利用积分恒等式技巧得到了真解与ECHL元近似解的超逼近性质.同时基于插值后处理技术导出了整体超收敛.进一步,通过渐进误差展开和分裂外推,得到了比通常的误差估计更高一阶的收敛速度.
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| 关 键 词： | 新混合模型 各向异性网格 后处理技术 超收敛 误差展开及外推 |
Superconvergence analysis and extrapolation of a new mixed finite element model for second order elliptic problem |
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| SHI Dong-yang,WANG Hui-min. Superconvergence analysis and extrapolation of a new mixed finite element model for second order elliptic problem[J]. Pure and Applied Mathematics, 2009, 25(4): 630-637 |
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| Authors: | SHI Dong-yang WANG Hui-min |
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| Affiliation: | SHI Dong-yang 1,WANG Hui-min 1,2 (1.Deparment of Mathematics,Zhengzhou University,Zhengzhou 450052,China,2.Department of Mathematics , Physics,Henan Institute of Engineering,Zhengzhou 450007,China) |
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| Abstract: | A new mixed finite element model for the second order elliptic problem is presented by supplementing way.The superclose properties of the exact solution and the approximate solution of ECHL element are derived through integral identity technique on anisotropic meshes.At the same time,based on the interpolated postprocessing technique,the global superconvergence is obtained.Furthermore,one order higher convergence rate than the general error estimate is derived using asymptotic error expansion and the extrap... |
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| Keywords: | new mixed finite element model anisotropic meshes postprocessing technique superconvergence error expansion and extrapolation |
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