A scaled and minimum overlap restricted additive Schwarz method with application to aerodynamics Original Research Article

A variant of the classical additive Schwarz preconditioner (AS) is presented and applied to the solution of a general class of two- and three-dimensional flow problems. The scaled restricted additive Schwarz (RAS) with minimal overlap preconditioner is easy to parallelize since all the local communications among processors only involve information pertaining to the interface of the nonoverlapping subdomains. The new method is superior to AS and the Jacobi algorithm in terms of both iteration counts and CPU time, as well as the communication cost when implemented on distributed memory computers.