Convergent algorithms suitable for the solution of the semiconductor device equations
type: Item
instance of: scholarly article
title: Convergent algorithms suitable for the solution of the semiconductor device equations
zbMATH Open document ID: 0834.35010
author: Miroslav Pospíšek
published in: Applications of Mathematics
publication date: 1996-04-01T00:00:00Z
full work available at URL: https://eudml.org/doc/32908
review text: 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.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 65N99
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 35J45
zbMATH DE Number: 808201
zbMATH Keywords: Newton methods
zbMATH Keywords: systems of nonlinear elliptic equations
zbMATH Keywords: convergence theorems
reviewed by: I. N. Katz
MaRDI profile type: Publication
cites work: Q3742650
cites work: Global approximate Newton methods
cites work: The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms
description: scientific article; zbMATH DE number 808201