P1-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for Elliptic problems

Hong Ying Man; Zhong Ci Shi

P₁-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for Elliptic problems

Hong Ying Man^*, Zhong Ci Shi

^*此作品的通讯作者

数学学院

CAS - Academy of Mathematics and System Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

In this paper, we discuss the finite volume element method of P₁-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for general quadrilateral partition. An optimal cascadic multigrid algorithm is proposed to solve the non-symmetric large-scale system resulting from such discretization. Numerical experiments are reported to support our theoretical results.

源语言	英语
页（从-至）	59-80
页数	22
期刊	Journal of Computational Mathematics
卷	24
期	1
出版状态	已出版 - 1月 2006

其它文件与链接

链接到 Scopus 的出版物

引用此

Man, H. Y., & Shi, Z. C. (2006). P₁-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for Elliptic problems. Journal of Computational Mathematics, 24(1), 59-80.

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AB - In this paper, we discuss the finite volume element method of P1-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for general quadrilateral partition. An optimal cascadic multigrid algorithm is proposed to solve the non-symmetric large-scale system resulting from such discretization. Numerical experiments are reported to support our theoretical results.

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P1-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for Elliptic problems

摘要

其它文件与链接

指纹

引用此

P₁-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for Elliptic problems