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.
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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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

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