NCP Function--Based Dual Weighted Residual Error Estimators for Signorini's Problem
From MaRDI portal
Publication:2811997
DOI10.1137/15M1033873zbMath1381.74208MaRDI QIDQ2811997
Publication date: 10 June 2016
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)
Related Items
Adaptive optimal control of Signorini's problem, Mesh and model adaptivity for frictional contact problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Presentation and comparison of selected algorithms for dynamic contact based on the Newmark scheme
- Variational localizations of the dual weighted residual estimator
- Goal-oriented error control in adaptive mixed FEM for Signorini's problem
- Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
- Space adaptive finite element methods for dynamic Signorini problems
- Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation
- Approximation of the Signorini problem with friction by a mixed finite element method
- A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
- Pointwise a posteriori error control for elliptic obstacle problems
- An adaptive finite element discretisation for a simplified Signorini problem
- A posteriori error estimation for unilateral contact with matching and non-matching meshes
- Different a posteriori error estimators and indicators for contact problems.
- A cascadic multigrid algorithm for variational inequalities
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- A posteriori error estimation of \(h-p\) finite element approximations of frictional contact problems
- Residual type a posteriori error estimates for elliptic obstacle problems
- An efficient and reliable residual-type a posteriori error estimator for the Signorini problem
- Convergence analysis of a conforming adaptive finite element method for an obstacle problem
- An a posteriori error estimator for two-body contact problems on non-matching meshes
- A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems
- Dual weighted residual error control for frictional contact problems
- A posteriori error estimations of residual type for Signorini's problem
- A posteriori error estimators for obstacle problems -- another look
- Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems
- Guaranteed computable bounds on quantities of interest in finite element computations
- A posteriori error estimator and error control for contact problems
- Efficient and reliable hierarchical error estimates for the discretization error of elliptic obstacle problems
- Error control in h- and hp-adaptive FEM for Signorini's problem
- An optimal control approach to a posteriori error estimation in finite element methods
- Residuala posteriori error estimators for contact problems in elasticity
- Dynamic frictionless contact in linear viscoelasticity
- A safeguarded dual weighted residual method
- Contact Mechanics
- Locala posteriori error estimators for variational inequalities
- Adaptive Finite Elements for Elastic Bodies in Contact
- Adaptive Multilevel Methods for Obstacle Problems
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems
- A posteriori estimates for FE-solutions of variational inequalities
- A Posteriori Control of Modeling Errors and Discretization Errors
- A continuous space-time finite element method for the wave equation
- ADAPTIVE FINITE ELEMENT METHODS FOR THE OBSTACLE PROBLEM
- A Unilaterally Constrained Quadratic Minimization with Adaptive Finite Elements
- Adaptive multigrid methods for Signorini's problem in linear elasticity.
- A posteriori estimators for obstacle problems by the hypercircle method