A note on some mathematical studies on elastohydrodynamic lubrication
type: Item
instance of: scholarly article
title: A note on some mathematical studies on elastohydrodynamic lubrication
zbMATH Open document ID: 0622.76039
DOI: 10.1016/0020-7225(87)90057-7
author: B. George
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: Mit Hilfe des Operatorenkalküls ist die Lösungsexistenz der Reynolds- Hertz-Gleichungen der elastohydrodynamischen Schmierungstheorie gezeigt worden. Eine Methode zur Regularisierung der variationellen Ungleichung des Problems sowie die Lösung desselben durch Anwendung der Finite- Element-Methode mit einer a priori Fehlerabschätzung ist ebenfalls mit angegeben. Die Arbeit ist in Details nur in Verbindung mit den früheren diesbezüglichen Arbeiten der Autoren [e.g. Comput Math. Appl. 13, 583- 593 (1987; Zbl 0617.76004)] zu studieren.
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49J27
zbMATH DE Number: 4010052
zbMATH Keywords: Reynolds-Hertz equations
zbMATH Keywords: elastohydrodynamic lubrication
zbMATH Keywords: undetermined boundary
zbMATH Keywords: contact region
zbMATH Keywords: nonlinear variational inequality
zbMATH Keywords: bounded, coercive, pseudomonotone continuous operator
zbMATH Keywords: existence of solutions
zbMATH Keywords: weak solutions
zbMATH Keywords: penalty method
zbMATH Keywords: one-dimensional line contact problems
zbMATH Keywords: convergence
zbMATH Keywords: sequences of finite-dimensional approximations
zbMATH Keywords: a priori error estimates
zbMATH Keywords: finite element solutions
reviewed by: Tomislav Zlatanovski
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90057-7
OpenAlex ID: W2113078093
cites work: Q3221604
cites work: On a problem of the theory of lubrication governed by a variational inequality
cites work: On the existence of solutions for the fundamental problem of the hydrodynamic lubrication
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cites work: A penalty formulation and numerical approximation of the Reynolds-Hertz problem of elastohydrodynamic lubrication
cites work: Q4723426
cites work: Theory of variational inequalities with applications to problems of flow through porous media
cites work: Equivalent Norms for Sobolev Spaces
cites work: Q3994823
cites work: Convergence and error estimates for finite element solutions of elastohydrodynamic lubrication
description: scientific article; zbMATH DE number 4010052