@article{(Open Science Index):https://publications.waset.org/pdf/7598, title = {Maximum Norm Analysis of a Nonmatching Grids Method for Nonlinear Elliptic Boundary Value Problem −Δu = f(u)}, author = {Abida Harbi}, country = {}, institution = {}, abstract = {We provide a maximum norm analysis of a finite element Schwarz alternating method for a nonlinear elliptic boundary value problem of the form -Δu = f(u), on two overlapping sub domains with non matching grids. We consider a domain which is the union of two overlapping sub domains where each sub domain has its own independently generated grid. The two meshes being mutually independent on the overlap region, a triangle belonging to one triangulation does not necessarily belong to the other one. Under a Lipschitz assumption on the nonlinearity, we establish, on each sub domain, an optimal L∞ error estimate between the discrete Schwarz sequence and the exact solution of the boundary value problem.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {7}, number = {6}, year = {2013}, pages = {1031 - 1036}, ee = {https://publications.waset.org/pdf/7598}, url = {https://publications.waset.org/vol/78}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 78, 2013}, }