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

Guo, Mengwu LU and Zhong, Hongzhi (2017) In Applied Mathematics Letters 71. p.14-23
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.

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author
and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
a posteriori error estimation, Constitutive relation error, Dual variational formulation, Elliptic variational inequality, Strict bound
in
Applied Mathematics Letters
volume
71
pages
10 pages
publisher
Elsevier
external identifiers
  • scopus:85016405823
ISSN
0893-9659
DOI
10.1016/j.aml.2017.03.007
language
English
LU publication?
no
additional info
Publisher Copyright: © 2017 Elsevier Ltd
id
e8432436-4435-4827-9f61-0cf6153bcc0e
date added to LUP
2024-03-19 12:31:03
date last changed
2024-03-26 10:50:25
@article{e8432436-4435-4827-9f61-0cf6153bcc0e,
  abstract     = {{<p>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.</p>}},
  author       = {{Guo, Mengwu and Zhong, Hongzhi}},
  issn         = {{0893-9659}},
  keywords     = {{a posteriori error estimation; Constitutive relation error; Dual variational formulation; Elliptic variational inequality; Strict bound}},
  language     = {{eng}},
  month        = {{09}},
  pages        = {{14--23}},
  publisher    = {{Elsevier}},
  series       = {{Applied Mathematics Letters}},
  title        = {{Constitutive-relation-error-based a posteriori error bounds for a class of elliptic variational inequalities}},
  url          = {{http://dx.doi.org/10.1016/j.aml.2017.03.007}},
  doi          = {{10.1016/j.aml.2017.03.007}},
  volume       = {{71}},
  year         = {{2017}},
}