A parallel preconditioned iterative realization of the panel method in 3D

The parallel version of precondition iterative techniques is developed for matrices arising from the panel boundary element method for three-dimensional simple connected domains with Dirichlet boundary conditions. Results were obtained on an nCUBE-2 parallel computer showing that iterative solution methods are very well suited also in three-dimensional case for implementation on a MIMD computer and that they are much more efficient than usual direct solution techniques

A Parallel Preconditioned Iterative Realization of the Panel Method in 3D

this paper we consider a numerical solution of the three-dimensional Dirichlet boundary value problem for the Laplace equation by the panel method. This method leads to an algebraic system of linear equations with a full dense, large order and, in general, nonsymmetric matrix [1], [26]. The generation of the Boundary Element Method (BEM) matrix A 2 I