An inexact Newton method for solving complementarity problems in hydrodynamic lubrication

DOI10.1007/s10092-018-0244-9zbMath1384.76045OpenAlexW2786123509MaRDI QIDQ1742966

Emanuele Galligani, Francesco Mezzadri

Publication date: 12 April 2018

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-018-0244-9

zbMATH Keywords

cavitationcomplementarity problemlubricationdamped inexact Newton algorithm

Mathematics Subject Classification ID

Related Items (18)

The two variable \((\phi^\prime/\phi, 1/\phi)\)-expansion method for solving the time-fractional partial differential equations ⋮ A two-step modulus-based matrix splitting iteration method for horizontal linear complementarity problems ⋮ A generalized variant of two-sweep modulus-based matrix splitting iteration method for solving horizontal linear complementarity problems ⋮ FELINE: finite element solver for hydrodynamic lubrication problems using the inexact Newton method ⋮ Splitting methods for a class of horizontal linear complementarity problems ⋮ On the MAOR method for a class of hydrodynamic lubrication problems ⋮ On the convergence of modulus-based matrix splitting methods for horizontal linear complementarity problems in hydrodynamic lubrication ⋮ On the equivalence between some projected and modulus-based splitting methods for linear complementarity problems ⋮ Modulus-based matrix splitting methods for a class of horizontal nonlinear complementarity problems ⋮ On convergence of the modulus-based matrix splitting iteration method for horizontal linear complementarity problems of \(H_+\)-matrices ⋮ Modulus-based matrix splitting methods for horizontal linear complementarity problems ⋮ A modulus-based nonsmooth Newton's method for solving horizontal linear complementarity problems ⋮ Numerical methods for solving Schrödinger equations in complex reproducing kernel Hilbert spaces ⋮ Two families of scaled three-term conjugate gradient methods with sufficient descent property for nonconvex optimization ⋮ A novel iterative solution for time-fractional Boussinesq equation by reproducing kernel method ⋮ Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point flow over a stretching/shrinking sheet ⋮ A two-step parallel iteration method for large sparse horizontal linear complementarity problems ⋮ Perturbation analysis and condition numbers of mixed least squares-scaled total least squares problem

Uses Software

• LAPACK
• SuperLU
• PETSc
• MUMPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Numerical solution of a class of moving boundary problems with a nonlinear complementarity approach
• On the numerical solution of a variational inequality connected with the hydrodynamic lubrication of a complete journal bearing
• Approssimazione della soluzione di una disequazione variazionale applicazione ad un problema di frontiera libera
• Numerical comparisons of path-following strategies for a primal-dual interior-point method for nonlinear programming
• On the formulation and theory of the Newton interior-point method for nonlinear programming
• On the Newton interior-point method for nonlinear programming problems
• A comparison of reduced and unreduced KKT systems arising from interior point methods
• Complementary pivot theory of mathematical programming
• Minimization of functions having Lipschitz continuous first partial derivatives
• Inner solvers for interior point methods for large scale nonlinear programming
• Elasto-hydrodynamic lubrication: A non-linear complementarity problem
• The Linear Complementarity Problem
• Preconditioners for Generalized Saddle-Point Problems
• Matrix Analysis
• LAPACK Users' Guide
• Equivalence of Linear Complementarity Problems and Linear Programs in Vector Lattice Hilbert Spaces
• Inexact Newton Methods
• A Supernodal Approach to Sparse Partial Pivoting
• Numerical Optimization
• Globally Convergent Inexact Newton Methods
• A special newton-type optimization method
• Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
• Modélisation de la rupture et de la reformation des films lubrifiants dans les contacts élastohydrodynamiques
• An Introduction to Numerical Analysis

This page was built for publication: An inexact Newton method for solving complementarity problems in hydrodynamic lubrication