The multigrid method for the combined hybrid elements of elasticity mechanical problem

Huiling Wang; Yufeng Nie; Zhanbin Yuan; Ling Zhang

doi:10.1007/s40314-019-0804-x

The multigrid method for the combined hybrid elements of elasticity mechanical problem

Huiling Wang, Yufeng Nie, Zhanbin Yuan, Ling Zhang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

Abstract

The combined hybrid finite element method is a kind of stable finite element discrete method, which can provide more looser optimization spaces for the discretization of the field variables. In this paper, the multigrid method is developed for the combined hybrid elements approximation of the elasticity problem. Theoretical convergence analysis of the method has been obtained for the energy norm. The numerical example is presented to support the theoretical results and illustrate the efficiency of the method.

Original language	English
Article number	42
Journal	Computational and Applied Mathematics
Volume	38
Issue number	2
DOIs	https://doi.org/10.1007/s40314-019-0804-x
State	Published - 1 Jun 2019

Keywords

Combined hybrid element
Elasticity mechanical system
Multigrid method
Uniform equivalence
Wilson interpolation

Access to Document

10.1007/s40314-019-0804-x

Cite this

@article{20ac10ddecbc46e08465e97e19862819,

title = "The multigrid method for the combined hybrid elements of elasticity mechanical problem",

abstract = "The combined hybrid finite element method is a kind of stable finite element discrete method, which can provide more looser optimization spaces for the discretization of the field variables. In this paper, the multigrid method is developed for the combined hybrid elements approximation of the elasticity problem. Theoretical convergence analysis of the method has been obtained for the energy norm. The numerical example is presented to support the theoretical results and illustrate the efficiency of the method.",

keywords = "Combined hybrid element, Elasticity mechanical system, Multigrid method, Uniform equivalence, Wilson interpolation",

author = "Huiling Wang and Yufeng Nie and Zhanbin Yuan and Ling Zhang",

note = "Publisher Copyright: {\textcopyright} 2019, SBMAC - Sociedade Brasileira de Matem{\'a}tica Aplicada e Computacional.",

year = "2019",

month = jun,

day = "1",

doi = "10.1007/s40314-019-0804-x",

language = "英语",

volume = "38",

journal = "Computational and Applied Mathematics",

issn = "2238-3603",

publisher = "Birkhauser Boston",

number = "2",

}

TY - JOUR

T1 - The multigrid method for the combined hybrid elements of elasticity mechanical problem

AU - Wang, Huiling

AU - Nie, Yufeng

AU - Yuan, Zhanbin

AU - Zhang, Ling

PY - 2019/6/1

Y1 - 2019/6/1

N2 - The combined hybrid finite element method is a kind of stable finite element discrete method, which can provide more looser optimization spaces for the discretization of the field variables. In this paper, the multigrid method is developed for the combined hybrid elements approximation of the elasticity problem. Theoretical convergence analysis of the method has been obtained for the energy norm. The numerical example is presented to support the theoretical results and illustrate the efficiency of the method.

AB - The combined hybrid finite element method is a kind of stable finite element discrete method, which can provide more looser optimization spaces for the discretization of the field variables. In this paper, the multigrid method is developed for the combined hybrid elements approximation of the elasticity problem. Theoretical convergence analysis of the method has been obtained for the energy norm. The numerical example is presented to support the theoretical results and illustrate the efficiency of the method.

KW - Combined hybrid element

KW - Elasticity mechanical system

KW - Multigrid method

KW - Uniform equivalence

KW - Wilson interpolation

UR - http://www.scopus.com/inward/record.url?scp=85062608296&partnerID=8YFLogxK

U2 - 10.1007/s40314-019-0804-x

DO - 10.1007/s40314-019-0804-x

M3 - 文章

AN - SCOPUS:85062608296

SN - 2238-3603

VL - 38

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 2

M1 - 42

ER -

The multigrid method for the combined hybrid elements of elasticity mechanical problem

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this