High-order prediction--correction algorithms for unilateral contact problems

DOI10.1016/j.cam.2003.05.015zbMath1107.74336OpenAlexW2016388168MaRDI QIDQ1877215

Wassila Aggoune, Michel Potier-Ferry, Hamid Zahrouni

Publication date: 16 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.05.015

zbMATH Keywords

finite element methodcontactPadé approximantsperturbation techniquehomotopypath following techniqueprediction--correction algorithms

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (11)

On higher-order differentiation in nonlinear mechanics ⋮ Method of fundamental solutions and high order algorithm to solve nonlinear elastic problems ⋮ The Koiter-Newton approach using von Kármán kinematics for buckling analyses of imperfection sensitive structures ⋮ Automatic solver for non-linear partial differential equations with implicit local laws: Application to unilateral contact ⋮ Results on existence for generalized \(nD\) Navier-Stokes equations ⋮ Perturbation technique and method of fundamental solution to solve nonlinear Poisson problems ⋮ Solving hyperelastic material problems by asymptotic numerical method ⋮ Bifurcation indicator based on meshless and asymptotic numerical methods for nonlinear poisson problems ⋮ Simulation of instabilities in thin nanostructures by a perturbation approach ⋮ Existence and smoothness results for a new class of \(n\)-dimensional Navier-Stokes equations ⋮ Numerical comparisons of high-order nonlinear solvers for the transient Navier-Stokes equations based on homotopy and perturbation techniques

Cites Work

• A perturbed Lagrangian formulation for the finite element solution of contact problems
• A mixed formulation for frictional contact problems prone to Newton like solution methods
• A numerical continuation method based on Padé approximants
• An iterative process based on homotopy and perturbation techniques
• A path-following technique via an asymptotic-numerical method
• An augmented lagrangian treatment of contact problems involving friction
• An asymptotic numerical algorithm for frictionless contact problems
• High-order predictor-corrector algorithms

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