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Legendre-Fenchel duality and a generalized constitutive relation error

Guo, Mengwu LU ; Han, Weimin and Zhong, Hongzhi (2016)
Abstract
A generalized constitutive relation error is proposed in an analogous form to Fenchel-Young inequality on the basis of the key idea of Legendre-Fenchel duality theory. The generalized constitutive relation error is linked with the global errors of some admissible solutions for the problem in question, and is of wide applicability, especially in a posteriori error estimations of numerical methods. A class of elliptic variational inequalities is examined using the proposed approach and a strict upper bound of global energy errors of admissible solutions is obtained.
Please use this url to cite or link to this publication:
author
; and
publishing date
type
Working paper/Preprint
publication status
published
subject
pages
17 pages
publisher
arXiv.org
DOI
10.48550/arXiv.1611.05589
language
English
LU publication?
no
id
55cb5336-1c7e-4643-b1f4-e7cd6093bc2e
alternative location
https://arxiv.org/abs/1611.05589
date added to LUP
2024-03-23 22:04:16
date last changed
2024-03-26 09:50:13
@misc{55cb5336-1c7e-4643-b1f4-e7cd6093bc2e,
  abstract     = {{A generalized constitutive relation error is proposed in an analogous form to Fenchel-Young inequality on the basis of the key idea of Legendre-Fenchel duality theory. The generalized constitutive relation error is linked with the global errors of some admissible solutions for the problem in question, and is of wide applicability, especially in a posteriori error estimations of numerical methods. A class of elliptic variational inequalities is examined using the proposed approach and a strict upper bound of global energy errors of admissible solutions is obtained.}},
  author       = {{Guo, Mengwu and Han, Weimin and Zhong, Hongzhi}},
  language     = {{eng}},
  note         = {{Preprint}},
  publisher    = {{arXiv.org}},
  title        = {{Legendre-Fenchel duality and a generalized constitutive relation error}},
  url          = {{http://dx.doi.org/10.48550/arXiv.1611.05589}},
  doi          = {{10.48550/arXiv.1611.05589}},
  year         = {{2016}},
}