An optimal error estimate of finite element method for parabolic quasi-variational inequalities with non linear source terms

Article type: Research Article

Authors: Boulaaras, Salah^{a; b}

Affiliations: [a] Department of Mathematics, College of Science and Arts, Ar-Ras, Qassim University, Kingdom of Saudi Arabia | [b] Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria. Tel.: +966559618327; E-mails: S.Boularas@qu.edu.sa, saleh_boulaares@yahoo.fr

Abstract: The main purpose of this paper is to analyze the convergence and regularity of the proposed algorithm (J. Nonlinear Sci. Appl. 9 (2016), 568–583) of the discontinuous Galerkin methods coupled with Euler time discretization scheme for parabolic quasi-variational inequalities with nonlinear source terms and an obstacle defined as impulse control problem.

Keywords: Finite elements, Euler scheme, fixed point, PQVIs, EQVIs, geometric convergence

DOI: 10.3233/ASY-161392

Journal: Asymptotic Analysis, vol. 100, no. 3-4, pp. 193-208, 2016