CSpace  > 计算数学与科学工程计算研究所
鱼骨形网格上二阶方程混合元的超收敛
林甲富1; 林群2
2004
Source Publication高等学校计算数学学报
ISSN1000-081X
Volume026Issue:002Pages:139
AbstractIn this paper, superconvergence of the lowest order Raviart-Thomas mixed finite element approximation for second order Neumann boundary value problem on fishbone shape meshes is analyzed. The main term of the error between the exact solution and the finite element interpolating function is determined by Bramble-Hilbert lemma on the individual finite element. A part of the main term of the error on two adjacent finite elements can be cancelled along the special direction, and thus the higher order error estimate is obtained on the whole domain by summation. Compared with the general finite element error estimate,the convergence rate can be increased from order one to order two in L2-norm by postprocessing superconvergence technique.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/44420
Collection计算数学与科学工程计算研究所
Affiliation1.北京理工大学
2.中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
林甲富,林群. 鱼骨形网格上二阶方程混合元的超收敛[J]. 高等学校计算数学学报,2004,026(002):139.
APA 林甲富,&林群.(2004).鱼骨形网格上二阶方程混合元的超收敛.高等学校计算数学学报,026(002),139.
MLA 林甲富,et al."鱼骨形网格上二阶方程混合元的超收敛".高等学校计算数学学报 026.002(2004):139.
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