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^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

8 Citations (Scopus)

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.

Original language	English
Pages (from-to)	973-992
Number of pages	20
Journal	Science China Mathematics
Volume	61
Issue number	6
DOIs	https://doi.org/10.1007/s11425-017-9181-2
Publication status	Published - 1 Jun 2018

Keywords

a posteriori error estimator
adaptive method
linear elasticity problems
symmetric mixed finite element

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10.1007/s11425-017-9181-2

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@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",

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

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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

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U2 - 10.1007/s11425-017-9181-2

DO - 10.1007/s11425-017-9181-2

M3 - Article

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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

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Keywords

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