Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems

Long Chen; Jun Hu; Xuehai Huang; Hongying Man

doi:10.1007/s11425-017-9181-2

Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems

Long Chen
, Jun Hu
, Xuehai Huang
, Hongying Man^*

^*此作品的通讯作者

数学学院

University of California at Irvine
Peking University
Wenzhou University

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems with Dirichlet and mixed boundary conditions are proposed. Reliability and efficiency of the estimators are proved. Finally, numerical examples are presented to verify the theoretical results.

源语言	英语
页（从-至）	973-992
页数	20
期刊	Science China Mathematics
卷	61
期	6
DOI	https://doi.org/10.1007/s11425-017-9181-2
出版状态	已出版 - 1 6月 2018

访问文件

10.1007/s11425-017-9181-2

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{a27d20881cfd4191af18927a708da128,

title = "Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems",

abstract = "A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems with Dirichlet and mixed boundary conditions are proposed. Reliability and efficiency of the estimators are proved. Finally, numerical examples are presented to verify the theoretical results.",

keywords = "a posteriori error estimator, adaptive method, linear elasticity problems, symmetric mixed finite element",

author = "Long Chen and Jun Hu and Xuehai Huang and Hongying Man",

note = "Publisher Copyright: {\textcopyright} 2018, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2018",

month = jun,

day = "1",

doi = "10.1007/s11425-017-9181-2",

language = "English",

volume = "61",

pages = "973--992",

journal = "Science China Mathematics",

issn = "1674-7283",

publisher = "Science China Press",

number = "6",

}

TY - JOUR

T1 - Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems

AU - Chen, Long

AU - Hu, Jun

AU - Huang, Xuehai

AU - Man, Hongying

PY - 2018/6/1

Y1 - 2018/6/1

N2 - A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems with Dirichlet and mixed boundary conditions are proposed. Reliability and efficiency of the estimators are proved. Finally, numerical examples are presented to verify the theoretical results.

AB - A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems with Dirichlet and mixed boundary conditions are proposed. Reliability and efficiency of the estimators are proved. Finally, numerical examples are presented to verify the theoretical results.

KW - a posteriori error estimator

KW - adaptive method

KW - linear elasticity problems

KW - symmetric mixed finite element

UR - https://www.scopus.com/pages/publications/85043718494

U2 - 10.1007/s11425-017-9181-2

DO - 10.1007/s11425-017-9181-2

M3 - Article

AN - SCOPUS:85043718494

SN - 1674-7283

VL - 61

SP - 973

EP - 992

JO - Science China Mathematics

JF - Science China Mathematics

IS - 6

ER -

Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems

摘要

访问文件

其它文件与链接

指纹

引用此