Journal article
On convergence of numerical methods for variational–hemivariational inequalities under minimal solution regularity
Applied mathematics letters, Vol.93, pp.105-110
07/2019
DOI: 10.1016/j.aml.2019.02.007
Abstract
Hemivariational inequalities have been successfully employed for mathematical and numerical studies of application problems involving nonsmooth, nonmonotone and multivalued relations. In recent years, error estimates have been derived for numerical solutions of hemivariational inequalities under additional solution regularity assumptions. Since the solution regularity properties have not been rigorously proved for hemivariational inequalities, it is important to explore the convergence of numerical solutions of hemivariational inequalities without assuming additional solution regularity. In this paper, we present a general convergence result enhancing existing results in the literature.
Details
- Title: Subtitle
- On convergence of numerical methods for variational–hemivariational inequalities under minimal solution regularity
- Creators
- Weimin Han - University of IowaShengda Zeng - Jagiellonian University
- Resource Type
- Journal article
- Publication Details
- Applied mathematics letters, Vol.93, pp.105-110
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.aml.2019.02.007
- ISSN
- 0893-9659
- eISSN
- 1873-5452
- Grant note
- 2017/25/N/ST1/00611 / National Science Center of Poland DMS-1521684 / NSF (http://dx.doi.org/10.13039/100000001) 823731 CONMECH / European Union’s Horizon 2020 Research and Innovation Programme UMO-2012/06/A/ST1/00262 / National Science Center of Poland
- Language
- English
- Date published
- 07/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984240871402771
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