Alternating iteration and elliptic variational inequalities
type: Item
instance of: scholarly article
title: Alternating iteration and elliptic variational inequalities
zbMATH Open document ID: 0587.65048
DOI: 10.1007/BF01389592
author: J. C. jun. Bruch
author: J. M. Sloss
published in: Numerische Mathematik
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133046
review text: A free boundary problem is considered. Since the geometry of the domain is too complicated, the problem can not be formulated as a variational inequality. The method used to solve it is to consider two overlapping regions covering the domain and to formulate an ordinary boundary value problem on one region and a variational inequality for the ''free boundary part'' on the other region (which has ''good'' geometry). Hence an alternating iteration scheme is derived: the two problems are solved successively, their solutions being related on a common curve of the two regions. The sequence of iterates converges uniformly to a solution of the initial problem. An example is given which deals with a problem of filtration of a liquid through a porous medium that starts at a trapezoidal channel.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 3942933
zbMATH Keywords: alternating iteration scheme
zbMATH Keywords: filtration
zbMATH Keywords: porous medium
reviewed by: Viorel Arnăutu
MaRDI profile type: Publication
cites work: Coupled variational inequalities for flow from a nonsymmetric ditch
cites work: Q3662895
cites work: Q3280274
cites work: Q5630031
cites work: Q3678248
cites work: Q3905599
cites work: Q3270785
cites work: Q5518064
cites work: Q5533735
cites work: Axisymmetric free surface seepage
cites work: Asymptotic development of the solution of Dirichlet's problem at analytic corners
cites work: Q5849054
OpenAlex ID: W2044958304
description: scientific article; zbMATH DE number 3942933