Work

Optimal error estimate for a system of several quasi variational inequalities

Year: 2025

Type: article

Abstract: This paper presents and examines a finite element approximation for a system of multiple quasi-variational inequalities. We analyze these inequalities, including terms for sources and obstacles that depend on the solution itself. An optimal $L^{\infty}$ -error estimate is derived by combining a modified Bensoussan-Lions type algorithm with established uniform error estimates for elliptic variational inequalities (VI).

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-025-03402-7

Authors: Salsabile Loudjani, Samira Saadi, Mohamed Haiour

Institution: Badji Mokhtar-Annaba University

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

OpenAlex ID: W4416789111