A NONCONFORMING DOMAIN DECOMPOSITION SCHEME BASED ON A DISCRETIZATION WITHOUT CROSS-POINTS AND ALTERNATING OBLIQUE PROJECTIONS

摘要

In this work, we propose a nonconforming domain decomposition resolution scheme for partial differential equations. In this scheme, the discrete Lagrange multiplier is forced to vanish into cross-points between artificial interfaces. The resulting saddle point problem is then solved efficiently by a recently developed alternating oblique projection method. The properties of the proposed discretization scheme will be illustrated solving Poisson equations.