Maximum norm analysis of a nonmatching grids method for a class of variational inequalities with nonlinear source terms

Abida Harbi
2016 Journal of Inequalities and Applications  
In this paper, we study a nonmatching grid finite element approximation of a class of elliptic variational inequalities with nonlinear source terms in the context of the Schwarz alternating domain decomposition. We show that the approximation converges optimally in the maximum norm, on each subdomain, making use of a Lipschitz continuous dependence with respect to both the boundary condition and the source term. MSC: 65K15; 65N30; 65N15
doi:10.1186/s13660-016-1110-4 fatcat:4q3oetcaubclvjztzl7lg3e7fq