Geodesic
Convergent algorithms suitable for the solution of the semiconductor device equations
Applications of Mathematics, Tome 40 (1995) no. 2, pp. 107-130.

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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.
DOI : 10.21136/AM.1995.134283
Classification : 35J65, 65H10, 65M99, 65N99
Keywords: systems of nonlinear algebraic equations; semiconductor device equations 
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     title = {Convergent algorithms suitable for the solution of the semiconductor device equations},
     journal = {Applications of Mathematics},
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Pospíšek, Miroslav. Convergent algorithms suitable for the solution of the semiconductor device equations. Applications of Mathematics, Tome 40 (1995) no. 2, pp. 107-130. doi : 10.21136/AM.1995.134283. http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134283/

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