scholarly journals Discussion: “Finite Element Solution for the Rarefied Gas Lubrication Problem” (Kubo, Masahiro, Ohtsubo, Y., Kawashima, N., and Marumo, H., 1988, ASME J. Tribol., 110, pp. 335–341)

1988 ◽  
Vol 110 (2) ◽  
pp. 341-341
Author(s):  
R. F. Gans
Keyword(s):  
Finite Element ◽  
Rarefied Gas ◽  
Finite Element Solution ◽  
Element Solution ◽  
Gas Lubrication

A General Model for Liquid and Gas Lubrication, Including Cavitation

2017 ◽  
Vol 140 (2) ◽  
Author(s):  
Noël Brunetière
Keyword(s):  
Finite Element ◽  
General Model ◽  
Reynolds Equation ◽  
Previous Literature ◽  
Finite Element Solution ◽  
Element Solution ◽  
Gas Lubrication ◽  
Continuous Description

This paper presents a general formulation of the Reynolds equation for gas and liquid lubricants, including cavitation. A finite element solution of this equation is also given. The model is compared to those obtained in the previous literature on liquid and gas lubrication. One of the advantages of the model is the continuous description of cavitation in liquid lubrication. It is possible to deal with all lubricants by adjusting the amount of gas in the fluid.

scholarly journals Robust Iterative Solvers for Gao Type Nonlinear Beam Models in Elasticity

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
B. Borsos ◽  
János Karátson
Keyword(s):  
Finite Element ◽  
Newton Method ◽  
Newton's Method ◽  
Numerical Experiments ◽  
Elliptic Problems ◽  
Iterative Solvers ◽  
Finite Element Solution ◽  
Element Solution ◽  
Nonlinear Beam ◽  
Quasi Newton

Abstract The goal of this paper is to present various types of iterative solvers: gradient iteration, Newton’s method and a quasi-Newton method, for the finite element solution of elliptic problems arising in Gao type beam models (a geometrical type of nonlinearity, with respect to the Euler–Bernoulli hypothesis). Robust behaviour, i.e., convergence independently of the mesh parameters, is proved for these methods, and they are also tested with numerical experiments.

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