Article
Keywords:
systems of nonlinear algebraic equations; semiconductor device equations
Summary:
In this paper, two algorithms are proposed to solve systems of algebraic equations generated by a discretization procedure of the weak formulation of boundary value problems for systems of nonlinear elliptic equations. The first algorithm, Newton-CG-MG, is suitable for systems with gradient mappings, while the second, Newton-CE-MG, can be applied to more general systems. Convergence theorems are proved and application to the semiconductor device modelling is described.
References:
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[brussino.sonnad] G. Brussino, V. Sonnad:
A comparison of direct and preconditioned iterative techniques for sparse, unsymmetric systems of linear equations. Int. J. Numer. Meth. Eng. 28 (1989), 801–815.
DOI 10.1002/nme.1620280406