Article
| Title: | Bounded penalty method for the modified Signorini contact problem with nonlocal Coulomb's friction in electro-elasticity (English) |
| Author: | Benkhira, El-Hassan |
| Author: | El Ouardy, Ilham |
| Author: | Mandyly, Youssef |
| Author: | Fakhar, Rachid |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 71 |
| Issue: | 3 |
| Year: | 2026 |
| Pages: | 365-392 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We consider the bounded penalty method to solve the modified Signorini contact problem with nonlocal Coulomb's friction in electro-elasticity studied in I. El Ouardy, Y. Mandyly, H. Benkhira, and R. Fakhar (2024). We formulate a regularized variational problem and prove the existence and uniqueness of its solution using elliptic quasi-variational inequalities, strongly monotone operators, and Schauder's fixed point theorem. We also derive error estimates that depend on the penalty parameter ${\epsilon }$, establishing a convergence rate of $O(\sqrt {\epsilon })$. Finally, we propose an iterative method to numerically solve the regularized problem and prove its convergence. (English) |
| Keyword: | electro-elasticity |
| Keyword: | bounded penalty |
| Keyword: | Signorini modified contact problem |
| Keyword: | nonlocal Coulomb's friction |
| Keyword: | Schauder's fixed point |
| Keyword: | regularized variational problem |
| Keyword: | error estimate |
| Keyword: | iterative method |
| MSC: | 35J87 |
| MSC: | 37M05 |
| MSC: | 47J25 |
| MSC: | 49J40 |
| MSC: | 65N55 |
| MSC: | 74C05 |
| MSC: | 74S05 |
| DOI: | 10.21136/AM.2026.0261-25 |
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| Date available: | 2026-07-02T06:52:13Z |
| Last updated: | 2026-08-19 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153673 |
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