Preprint
Well-posedness and Numerical Analysis of Mixed Variational-hemivariational Inequalities
ArXiv.org
Cornell University
02/02/2026
DOI: 10.48550/arxiv.2602.01529
Abstract
The paper is devoted to well-posedness analysis and the numerical solution of a family of general elliptic mixed variational-hemivariational inequalities. Various mixed variational equations, mixed variational inequalities and mixed hemivariational inequalities found in the literature are special cases of the mixed variational-hemivariational inequalities. Well-posedness of the mixed variational-hemivariational inequalities and their numerical approximations are studied via the projection iteration technique. Error analysis of the numerical methods is presented. The results are applied to the study of a variational-hemivariational inequality of the Stokes equations for incompressible fluid flows subject to slip conditions of frictional type, both monotone and non-monotone. Optimal order error estimates are derived for the use of some stable finite element space pairs under certain solution regularity assumptions. Numerical results are reported demonstrating the theoretical prediction of convergence orders.
Details
- Title: Subtitle
- Well-posedness and Numerical Analysis of Mixed Variational-hemivariational Inequalities
- Creators
- Weimin Han - University of IowaJianguo Huang - Shanghai Jiao Tong UniversityYuan Yao - University of Iowa
- Resource Type
- Preprint
- Publication Details
- ArXiv.org
- DOI
- 10.48550/arxiv.2602.01529
- ISSN
- 2331-8422
- Publisher
- Cornell University; Ithaca, New York
- Language
- English
- Date posted
- 02/02/2026
- Academic Unit
- Mathematics
- Record Identifier
- 9985139305202771
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