Constitutive-relation-error-based a posteriori error bounds for a class of elliptic variational inequalities
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/e8432436-4435-4827-9f61-0cf6153bcc0e
- author
- Guo, Mengwu LU and Zhong, Hongzhi
- publishing date
- 2017-09-01
- 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}}, }