convergenceanalysisoftherectangularmorleyelementschemeforsecondorderprobleminarbitrarydimensions

	convergenceanalysisoftherectangularmorleyelementschemeforsecondorderprobleminarbitrarydimensions
	Meng Xiangyun 1; Yang Xueqin 1; Zhang Shuo2
	2016
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	59 期号:11 页码:2245
摘要	We present the convergence analysis of the rectangular Morley element scheme utilised on the second order problem in arbitrary dimensions. Specifically, we prove that the convergence of the scheme is of O(h) order in energy norm and of O(h~2) order in L~2 norm on general d-rectangular triangulations. Moreover, when the triangulation is uniform, the convergence rate can be of O(h~2) order in energy norm, and the convergence rate in L~2 norm is still of O(h~2) order, which cannot be improved. Numerical examples are presented to demonstrate our theoretical results.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/42386
专题	计算数学与科学工程计算研究所
作者单位	1.北京大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Meng Xiangyun,Yang Xueqin,Zhang Shuo. convergenceanalysisoftherectangularmorleyelementschemeforsecondorderprobleminarbitrarydimensions[J]. sciencechinamathematics,2016,59(11):2245.
APA	Meng Xiangyun,Yang Xueqin,&Zhang Shuo.(2016).convergenceanalysisoftherectangularmorleyelementschemeforsecondorderprobleminarbitrarydimensions.sciencechinamathematics,59(11),2245.
MLA	Meng Xiangyun,et al."convergenceanalysisoftherectangularmorleyelementschemeforsecondorderprobleminarbitrarydimensions".sciencechinamathematics 59.11(2016):2245.