Parallel fictitious domain method for a non-linear elliptic Neumann boundary value problem

Parallelization of the algebraic fictitious domain method is considered for solving Neumann boundary value problems with variable coefficients. The re sulting method is applied to the parallel solution of the subsonic full pot ential flow problem which is linearized by the Newton method. Good scalabil ity of the method is demonstrated on a Gray T3E distributed memory parallel computer using MPI in communication. Copyright (C) 1999 John Wiley & Sons, Ltd.