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

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10.1016/j.aml.2017.03.007

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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",

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journal = "Applied mathematics letters",

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AU - Guo, Mengwu

AU - Zhong, Hongzhi

PY - 2017

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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

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U2 - 10.1016/j.aml.2017.03.007

DO - 10.1016/j.aml.2017.03.007

M3 - Article

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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

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