Solving Positive Definite Linear Systems on Vector Computers

In this communication we describe the results of computations of 3D nonlinear magnetic field for a dipole magnet. Computations were carried out on vector computer CONVEX C120 by means of program MSFE3D [1]. I. FORMULATION OF THE PROBLEM We consider the differential formulation of the magnetostatic problem for two scalar potentials [2], total – and reduced – . Let F be a region with ferromagnetic material. We choose some region , which contains F . Let 0 be a boundary of the region and A = n F . is a boundary between F and A. Then we have equations div( r ) = 0; x2 F ; (1) div(r ) = 0; x2 A; (2) with the boundary conditions (@ =@n) = @ =@n n H ; x2 ; (3) = + S ; x2 ; (4) 0; x2 0: (5) Function = (jr j) is given from the closed interval 1 where and are known constants. VectorH is computed by the Biot-Savart’s law