Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems

DOI10.1007/978-0-387-75714-8_3zbMath1193.49006OpenAlexW39931835MaRDI QIDQ3565468

Weimin Han, Viorel Bostan

Publication date: 4 June 2010

Published in: Advances in Mechanics and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-75714-8_3

zbMATH Keywords

reliabilityfrictional contactefficiencydualityelliptic variational inequalitya posteriori error estimationquasistatic variational inequalityadaptive finite element solution

Mathematics Subject Classification ID

Variational inequalities (49J40) Newton-type methods (49M15) Variational methods for second-order elliptic equations (35J20) PDEs in connection with control and optimization (35Q93)

Related Items (3)

Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity ⋮ A C ⁰ interior penalty method for a fourth-order variational inequality of the second kind ⋮ Numerical analysis of hemivariational inequalities in contact mechanics

Cites Work

• Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
• Galerkin finite element methods for parabolic problems
• Finite element analysis of a holonomic elastic-plastic problem
• Recovery-based error estimation and adaptive solution of elliptic variational inequalities of the second kind
• Solution of variational inequalities in mechanics
• Plasticity. Mathematical theory and numerical analysis
• The Kačanov method for some nonlinear problems
• A posteriori error estimation for elasto-plastic problems based on duality theory
• Pointwise a posteriori error control for elliptic obstacle problems
• Averaging techniques for reliable a posteriori FE error control in elastoplasticity with hardening
• An adaptive finite element discretisation for a simplified Signorini problem
• Weighted error estimates for finite element solutions of variational inequalities
• A posteriori error analysis via duality theory. With applications in modeling and numerical approximations.
• A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind
• Numerical analysis of the primal problem of elastoplasticity with hardening
• The Kachanov method for a nonlinear variational inequality of the second kind arising in elastoplasticity
• A posteriori error estimates for elliptic variational inequalities
• Adaptive numerical analysis in primal elastoplasticity with hardening
• Residual type a posteriori error estimates for elliptic obstacle problems
• Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems
• Pointwise a Posteriori Error Analysis for an Adaptive Penalty Finite Element Method for the Obstacle Problem
• Qualitative and Numerical Analysis of Quasi-Static Problems in Elastoplasticity
• Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
• An optimal control approach to a posteriori error estimation in finite element methods
• Finite Element Methods for Navier-Stokes Equations
• A simple error estimator and adaptive procedure for practical engineerng analysis
• Mixed and Hybrid Finite Element Methods
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• Locala posteriori error estimators for variational inequalities
• A‐posteriori error estimates for the finite element method
• Error Estimates for Adaptive Finite Element Computations
• Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
• A posteriori error analysis for linearization of nonlinear elliptic problems and their discretizations
• Adaptive Multilevel Methods for Obstacle Problems
• Quantitative error estimates for coefficient idealization in linear elliptic problems
• Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
• Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
• On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity
• A posteriori error estimation for variational problems with uniformly convex functionals
• Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
• ADAPTIVE FINITE ELEMENT METHODS FOR THE OBSTACLE PROBLEM
• The Mathematical Theory of Finite Element Methods
• Galerkin Finite Element Methods for Parabolic Problems
• Finite Elements
• The generalized finite element method
• Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes
• General approach for a posteriori error estimates for finite element solutions of variational inequalities
• A posteriori error estimators of gradient recovery type for elliptic obstacle problems
• A posteriori error estimates on irregular grids based on gradient recovery
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems