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Finite-Element Solution of the Incompressible Lubrication Problem
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1969
Year
Numerical AnalysisFinite Element MethodNumerical Method For Partial Differential EquationMethod Of Fundamental SolutionEngineeringCompressible FlowIncompressible FlowHydrodynamic LubricationMechanicsFluid MechanicsMechanical EngineeringIncompressible Lubrication ProblemComputational MechanicsIntegral PrincipleBoundary Element MethodMinimum Principle
A minimum principle for the transient incompressible Reynold’s equation, with the natural boundary conditions of prescribed pressure, as well as flow, is presented. The finite element method is introduced as the numerical counterpart of the Rayleigh-Ritz procedure. Flow computation is shown to be a natural corollary of the integral principle. Solutions of several test problems are presented.