Nonlinear boundary value problems with application to semiconductor device equations

Miroslav Pospíšek

Applications of Mathematics (1994)

  • Volume: 39, Issue: 4, page 241-258
  • ISSN: 0862-7940

Abstract

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The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated by the discretization procedure proposed will be described in a forthcoming paper.

How to cite

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Pospíšek, Miroslav. "Nonlinear boundary value problems with application to semiconductor device equations." Applications of Mathematics 39.4 (1994): 241-258. <http://eudml.org/doc/32881>.

@article{Pospíšek1994,
abstract = {The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated by the discretization procedure proposed will be described in a forthcoming paper.},
author = {Pospíšek, Miroslav},
journal = {Applications of Mathematics},
keywords = {boundary value problems for systems of nonlinear elliptic equations; semiconductor device equations; Galerkin method; nonlinear Neumann boundary conditions; elliptic systems; well-posedness; convergence; Galerkin method; nonlinear Neumann boundary conditions; elliptic systems; semiconductor devices; well-posedness; convergence},
language = {eng},
number = {4},
pages = {241-258},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear boundary value problems with application to semiconductor device equations},
url = {http://eudml.org/doc/32881},
volume = {39},
year = {1994},
}

TY - JOUR
AU - Pospíšek, Miroslav
TI - Nonlinear boundary value problems with application to semiconductor device equations
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 241
EP - 258
AB - The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated by the discretization procedure proposed will be described in a forthcoming paper.
LA - eng
KW - boundary value problems for systems of nonlinear elliptic equations; semiconductor device equations; Galerkin method; nonlinear Neumann boundary conditions; elliptic systems; well-posedness; convergence; Galerkin method; nonlinear Neumann boundary conditions; elliptic systems; semiconductor devices; well-posedness; convergence
UR - http://eudml.org/doc/32881
ER -

References

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