nonconformingrotatedq1elementonnontensorproductanisotropicmeshes

	nonconformingrotatedq1elementonnontensorproductanisotropicmeshes
	MAO Shipeng; SHI Zhongci
	2006
发表期刊	scienceinchinaseriesamathematics
ISSN	1006-9283
卷号	49 期号:10 页码:1363
摘要	In this paper, we consider the nonconforming rotated Q(1) element for the second order elliptic problem on the non-tensor product anisotropic meshes, i.e. the anisotropic affine quadrilateral meshes. Though the interpolation error is divergent on the anisotropic meshes, we overcome this difficulty by constructing another proper operator. Then we give the optimal approximation error and the consistency error estimates under the anisotropic affine quadrilateral meshes. The results of this paper provide some hints to derive the anisotropic error of some finite elements whose interpolations do not satisfy the anisotropic interpolation properties. Lastly, a numerical test is carried out, which coincides with our theoretical analysis.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/41728
专题	计算数学与科学工程计算研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	MAO Shipeng,SHI Zhongci. nonconformingrotatedq1elementonnontensorproductanisotropicmeshes[J]. scienceinchinaseriesamathematics,2006,49(10):1363.
APA	MAO Shipeng,&SHI Zhongci.(2006).nonconformingrotatedq1elementonnontensorproductanisotropicmeshes.scienceinchinaseriesamathematics,49(10),1363.
MLA	MAO Shipeng,et al."nonconformingrotatedq1elementonnontensorproductanisotropicmeshes".scienceinchinaseriesamathematics 49.10(2006):1363.