Constitutive-relation-error-based a posteriori error bounds for a class of elliptic variational inequalities

Mengwu Guo; Hongzhi Zhong

doi:10.1016/j.aml.2017.03.007

Constitutive-relation-error-based a posteriori error bounds for a class of elliptic variational inequalities

Mengwu Guo^*
, Hongzhi Zhong (Corresponding Author)

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

On the basis of the dual variational formulation of a class of elliptic variational inequalities, a constitutive relation error is defined for the variational inequalities as an a posteriori error estimator, which is shown to guarantee strict upper bounds of the global energy-norm errors of kinematically admissible solutions. A numerical example is presented to validate the strictly bounding property of the constitutive relation error for the variational inequalities in question.

Original language	English
Pages (from-to)	14-23
Journal	Applied mathematics letters
Volume	71
DOIs	https://doi.org/10.1016/j.aml.2017.03.007
Publication status	Published - 2017
Externally published	Yes

Keywords

Constitutive relation error (CRE)
A posteriori error estimation
Strict bound
Elliptic variational inequality
Dual variational formulation

Access to Document

10.1016/j.aml.2017.03.007

Cite this

@article{dea44912647e4fd8b1ef2b487ebf112b,

title = "Constitutive-relation-error-based a posteriori error bounds for a class of elliptic variational inequalities",

abstract = "On the basis of the dual variational formulation of a class of elliptic variational inequalities, a constitutive relation error is defined for the variational inequalities as an a posteriori error estimator, which is shown to guarantee strict upper bounds of the global energy-norm errors of kinematically admissible solutions. A numerical example is presented to validate the strictly bounding property of the constitutive relation error for the variational inequalities in question.",

keywords = "Constitutive relation error (CRE), A posteriori error estimation, Strict bound, Elliptic variational inequality, Dual variational formulation",

author = "Mengwu Guo and Hongzhi Zhong",

year = "2017",

doi = "10.1016/j.aml.2017.03.007",

language = "English",

volume = "71",

pages = "14--23",

journal = "Applied mathematics letters",

issn = "0893-9659",

publisher = "Elsevier",

}

TY - JOUR

T1 - Constitutive-relation-error-based a posteriori error bounds for a class of elliptic variational inequalities

AU - Guo, Mengwu

AU - Zhong, Hongzhi

PY - 2017

Y1 - 2017

N2 - On the basis of the dual variational formulation of a class of elliptic variational inequalities, a constitutive relation error is defined for the variational inequalities as an a posteriori error estimator, which is shown to guarantee strict upper bounds of the global energy-norm errors of kinematically admissible solutions. A numerical example is presented to validate the strictly bounding property of the constitutive relation error for the variational inequalities in question.

AB - On the basis of the dual variational formulation of a class of elliptic variational inequalities, a constitutive relation error is defined for the variational inequalities as an a posteriori error estimator, which is shown to guarantee strict upper bounds of the global energy-norm errors of kinematically admissible solutions. A numerical example is presented to validate the strictly bounding property of the constitutive relation error for the variational inequalities in question.

KW - Constitutive relation error (CRE)

KW - A posteriori error estimation

KW - Strict bound

KW - Elliptic variational inequality

KW - Dual variational formulation

UR - https://www.scopus.com/pages/publications/85016405823

U2 - 10.1016/j.aml.2017.03.007

DO - 10.1016/j.aml.2017.03.007

M3 - Article

SN - 0893-9659

VL - 71

SP - 14

EP - 23

JO - Applied mathematics letters

JF - Applied mathematics letters

ER -

Constitutive-relation-error-based a posteriori error bounds for a class of elliptic variational inequalities

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this