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

^*Corresponding author for this work

School of Mathematics and Statistics

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	59-80
Number of pages	22
Journal	Journal of Computational Mathematics
Volume	24
Issue number	1
Publication status	Published - Jan 2006

Keywords

Cascadic multigrid
Elliptic problems
Finite volume element method

Cite this

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

abstract = "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.",

keywords = "Cascadic multigrid, Elliptic problems, Finite volume element method",

author = "Man, \{Hong Ying\} and Shi, \{Zhong Ci\}",

year = "2006",

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T1 - P1-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for Elliptic problems

AU - Man, Hong Ying

AU - Shi, Zhong Ci

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N2 - 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.

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.

KW - Cascadic multigrid

KW - Elliptic problems

KW - Finite volume element method

UR - https://www.scopus.com/pages/publications/33644646797

M3 - Article

AN - SCOPUS:33644646797

SN - 0254-9409

VL - 24

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JO - Journal of Computational Mathematics

JF - Journal of Computational Mathematics

IS - 1

ER -

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

Abstract

Keywords

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