| 三角形线元与二次元L~2投影的整体超收敛 |
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| 引用本文： | 陈传淼.三角形线元与二次元L~2投影的整体超收敛[J].计算数学,2003,25(4):385-392. |
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| 作者姓名： | 陈传淼 |
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| 作者单位： | 湖南师范大学计算所,长沙,410081 |
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| 基金项目： | 国家重点基础研究计划(批准号19990328004)与国家自然科学基金(No.19331021)资助项目. |
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| 摘 要： | Based on an orthogonal expansion in a triangle, superconvergence for L^2-projection to linear and quadratic triangular elements is studied.Assume that Ω is a polygonal domain,triangulation is uniform and Th is a set of all vertexesand side midpoints.Then, on Th,the average gradient ^-D(u-uh)=O(h^2) for linear element uh,and u-uh=O(h^4) for quadratic element uh. Under someboundary conditions,these properties upto the boundary are valid.
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| 关 键 词： | 三角形线元 二次元 L^2投影算子 整体超收敛 插值算子 椭圆投影算子 有限元分析 三角剖分 |
| 修稿时间： | 1999年5月30日 |
GLOBAL SUPERCONVERGENCE FOR L~2-PROJECTION TO LINEAR AND QUADRATIC TRIANGULAR ELEMENTS |
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| Chen Chuanmiao Institute of Computation,Hunan Normal University,Changsha.GLOBAL SUPERCONVERGENCE FOR L~2-PROJECTION TO LINEAR AND QUADRATIC TRIANGULAR ELEMENTS[J].Mathematica Numerica Sinica,2003,25(4):385-392. |
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| Authors: | Chen Chuanmiao Institute of Computation Hunan Normal University Changsha |
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| Institution: | Chen Chuanmiao Institute of Computation, Hunan Normal University, Changsha, 410081 |
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| Abstract: | |
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| Keywords: | L2-projection linear and quadratic triangular elements global superconvergence |
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