Convergent algorithms suitable for the solution of the semiconductor device equations

Pospíšek, Miroslav. "Convergent algorithms suitable for the solution of the semiconductor device equations." Applications of Mathematics 40.2 (1995): 107-130. <http://eudml.org/doc/32908>.

@article{Pospíšek1995,
abstract = {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.},
author = {Pospíšek, Miroslav},
journal = {Applications of Mathematics},
keywords = {systems of nonlinear algebraic equations; semiconductor device equations; Newton methods; systems of nonlinear elliptic equations; convergence theorems},
language = {eng},
number = {2},
pages = {107-130},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Convergent algorithms suitable for the solution of the semiconductor device equations},
url = {http://eudml.org/doc/32908},
volume = {40},
year = {1995},
}

TY - JOUR
AU - Pospíšek, Miroslav
TI - Convergent algorithms suitable for the solution of the semiconductor device equations
JO - Applications of Mathematics
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 40
IS - 2
SP - 107
EP - 130
AB - 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.
LA - eng
KW - systems of nonlinear algebraic equations; semiconductor device equations; Newton methods; systems of nonlinear elliptic equations; convergence theorems
UR - http://eudml.org/doc/32908
ER -