MPI implementation of parallel subdomain methods for linear and nonlinear convection–diffusion problems

The solution of linear and nonlinear convection–diffusion problems via parallel subdomain methods is considered. MPI implementation of parallel Schwarz alternating methods on distributed memory multiprocessors is discussed. Parallel synchronous and asynchronous iterative schemes of computation are studied. Experimental results obtained from IBM-SP series machines are displayed and analyzed. The benefits of using parallel asynchronous Schwarz alternating methods are clearly shown.