A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows
type: Item
instance of: scholarly article
title: A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows
zbMATH Open document ID: 0807.76037
DOI: 10.1016/0898-1221(94)00137-5
author: H. W. J. Lenferink
author: William Layton
author: Janet S. Peterson
publication date: 1994-09-25T00:00:00Z
review text: We consider the approximation of stationary, electrically conducting, incompressible fluid flow problems at small magnetic Reynolds number. The finite element discretization of these systems leads to a very large system of nonlinear equations. We consider a solution algorithm which involves solving a much smaller number of nonlinear equations on a coarse mesh, then one large linear system on a fine mesh. Under a uniqueness condition, this one-step, two-level Newton-FEM procedure is shown to produce an optimally accurate solution.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76W05
zbMATH DE Number: 643691
zbMATH Keywords: energy norm error analysis
zbMATH Keywords: small magnetic Reynolds number
zbMATH Keywords: very large system of nonlinear equations
zbMATH Keywords: coarse mesh
zbMATH Keywords: linear system
zbMATH Keywords: fine mesh
zbMATH Keywords: uniqueness condition
MaRDI profile type: Publication
full work available at URL: 0898-1221(94)00137-5
OpenAlex ID: W2008851305
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 643691