Section: New Results

Non conforming domain decomposition methods

We have designed and analyzed a new non-conforming domain decomposition method, named the NICEM method, based on Schwarz-type approaches that allows for the use of Robin interface conditions on non-conforming grids. The method is proven to be well posed. The error analysis is performed in 2D and in 3D for P1 elements. Numerical results in 2D illustrate the new method. This work is in collaboration with C. Japhet and Y. Maday.