Multigrid methods for Morley element on nonnested meshes
文献类型:期刊论文
作者 | Shi, ZC; Xie, ZH |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
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出版日期 | 1998-09-01 |
卷号 | 16期号:5页码:385-394 |
关键词 | multigrid method Morley element nonnested meshes |
ISSN号 | 0254-9409 |
英文摘要 | In this paper, we consider some multigrid algorithms for the biharmonic problem discretized by Morley element on nonnested meshes. Through taking the averages of the nodal variables we construct an intergrid transfer operator that satisfies a certain stable approximation property. The so-called regularity-approximation assumption is then established. Optimal convergence properties of the W-cycle and a uniform condition number estimate for the variable V-cycle preconditioner are presented. This technique is applicable to other nonconforming plate elements. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000076271500001 |
出版者 | VSP BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13883] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.Chinese Acad Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Atmospher Phys, LASG, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Shi, ZC,Xie, ZH. Multigrid methods for Morley element on nonnested meshes[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1998,16(5):385-394. |
APA | Shi, ZC,&Xie, ZH.(1998).Multigrid methods for Morley element on nonnested meshes.JOURNAL OF COMPUTATIONAL MATHEMATICS,16(5),385-394. |
MLA | Shi, ZC,et al."Multigrid methods for Morley element on nonnested meshes".JOURNAL OF COMPUTATIONAL MATHEMATICS 16.5(1998):385-394. |
入库方式: OAI收割
来源:数学与系统科学研究院
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