Legendre-Fenchel duality and a generalized constitutive relation error
(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:
https://lup.lub.lu.se/record/55cb5336-1c7e-4643-b1f4-e7cd6093bc2e
- author
- Guo, Mengwu LU ; Han, Weimin and Zhong, Hongzhi
- publishing date
- 2016
- 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}}, }