학술논문

L ∞ $L^{\infty}$ -error estimate of a generalized parallel Schwarz algorithm for elliptic quasi-variational inequalities related to impulse control problem
Document Type
article
Source
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-12 (2023)
Subject
Quasivariational inequalities
Schwarz algorithm
Finite-element method
L ∞ $L^{\infty}$ error estimate
Mathematics
QA1-939
Language
English
ISSN
1029-242X
Abstract
Abstract The generalized Schwarz algorithm for a class of elliptic quasi-variational inequalities related to impulse control problems is studied in this paper. The principal result is to prove the error estimate in L ∞ $L^{\infty}$ -norm for m subdomains with overlapping nonmatching grids. This approach combines the geometrical convergence and the uniform convergence.