TY - JOUR AU - Boulbrachene, M. AU - Saadi, S. PY - 2006 DA - 2006/03/16 TI - Maximum norm analysis of an overlapping nonmatching grids method for the obstacle problem JO - Advances in Difference Equations SP - 085807 VL - 2006 IS - 1 AB - We provide a maximum norm analysis of an overlapping Schwarz method on nonmatching grids for second-order elliptic obstacle problem. We consider a domain which is the union of two overlapping subdomains where each subdomain has its own independently generated grid. The grid points on the subdomain boundaries need not match the grid points from the other subdomain. Under a discrete maximum principle, we show that the discretization on each subdomain converges quasi-optimally in the L∞ norm. SN - 1687-1847 UR - https://doi.org/10.1155/ADE/2006/85807 DO - 10.1155/ADE/2006/85807 ID - Boulbrachene2006 ER -