An active‐set mixed finite element solver for a transient hydrodynamic lubrication problem in the presence of cavitation

DOI10.1002/zamm.201700193arXiv1706.05967OpenAlexW2962802320MaRDI QIDQ6086209

Moulay Hicham Tber

Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05967

zbMATH Keywords

cavitationcharacteristicsmixed formulationElrod-Adams modelactive set solver

Mathematics Subject Classification ID

Newton-type methods (49M15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Liquid-gas two-phase flows, bubbly flows (76T10) Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators (35L87)

Cites Work

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• Existence and numerical results of a transient lubrication problem with cavitation
• An unconditional existence result for elastohydrodynamic piezoviscous lubrication problems with Elrod-Adams model of cavitation.
• Existence and uniqueness for a non-coercive lubrication problem
• Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods
• Characteristics method for the formulation and computation of a free boundary cavitation problem
• Mass-conserving cavitation model for dynamical lubrication problems. I: Mathematical analysis
• Mass-conserving cavitation model for dynamical lubrication problems. II: Numerical analysis
• The finite element method with Lagrangian multipliers
• A Simple Introduction to the Mixed Finite Element Method
• Numerical solution of saddle point problems
• Une méthode du type caractéristique pour la résolution d'un problème de lubrification hydrodynamique en régime transitoire
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• A Characteristics-Mixed Finite Element Method for Advection-Dominated Transport Problems
• Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
• Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control

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