Convergent algorithms suitable for the solution of the semiconductor device equations

Abstract

Summary. In this paper, two algorithms are proposed to so l ve systems of a l gebraic equations generated by a discretization procedure of the weak formu l ation of boundary va l ue prob l ems for systems of non l inear e ll iptic equations. The first a l gorithm, Newton-CG-MG, is suitab l e for systems with gradient mappings, whi l e the second, Newton-CE-MG, can be app l ied to more genera l systems. Convergence theorems are proved and app l ication to the semiconductor device mode ll ing is described.