Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity
From MaRDI portal
Publication:343689
DOI10.1016/j.apnum.2016.10.012zbMath1381.74207OpenAlexW2541502615MaRDI QIDQ343689
Publication date: 28 November 2016
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2016.10.012
variational inequalitieslinear elasticityfinite elementa posteriori error estimatediscontinuous Galerkinfrictional contact problem
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) 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) Numerical methods for variational inequalities and related problems (65K15)
Related Items (4)
The element‐free Galerkin method for a quasistatic contact problem with the Tresca friction in elastic materials ⋮ Unified analysis of discontinuous Galerkin methods for frictional contact problem with normal compliance ⋮ Error estimates for a contact problem with the Tresca friction or the simplified Coulomb friction in elastic materials by the element-free Galerkin method ⋮ Discontinuous Galerkin Methods for Solving a Frictional Contact Problem with Normal Compliance
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive finite elements for a certain class of variational inequalities of second kind
- Another view for a posteriori error estimates for variational inequalities of the second kind
- A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem
- Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
- A posteriori error analysis for a class of integral equations and variational inequalities
- Recovery-based error estimation and adaptive solution of elliptic variational inequalities of the second kind
- Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation
- Error estimates for the finite element solution of variational inequalities. Part I. primal theory
- An adaptive finite element discretisation for a simplified Signorini problem
- A posteriori error estimation and adaptive solution of elliptic variational inequalities of the second kind
- On the quadratic finite element approximation to the obstacle problem
- Error estimates for an LDG method applied to Signorini type problems
- Residual type a posteriori error estimates for elliptic obstacle problems
- A posteriori error control of \(hp\)-finite elements for variational inequalities of the first and second kind
- A posteriori error analysis for finite element solutions of a frictional contact problem
- 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
- An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
- Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems
- A C 0 interior penalty method for a fourth-order variational inequality of the second kind
- A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems
- Finite element methods for the displacement obstacle problem of clamped plates
- A posteriori error estimator and error control for contact problems
- Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
- Discontinuous Galerkin methods for solving the Signorini problem
- Mixed Finite Element Methods of Higher-Order for Model Contact Problems
- A new error analysis for discontinuous finite element methods for linear elliptic problems
- Residuala posteriori error estimators for contact problems in elasticity
- Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems
- Theoretical Numerical Analysis
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Error Estimates for the Approximation of a Class of Variational Inequalities
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Convergence of nonconforming multigrid methods without full elliptic regularity
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Poincaré--Friedrichs Inequalities for Piecewise H1 Functions
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- An Introduction to Variational Inequalities and Their Applications
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Nonconforming Finite Element Analysis for a Plate Contact Problem
- Korn's inequalities for piecewise $H^1$ vector fields
- A Convergent Adaptive Algorithm for Poisson’s Equation
- Two-level additive Schwarz preconditioners for nonconforming finite element methods
- A Remark on the A Posteriori Error Analysis of Discontinuous Galerkin Methods for the Obstacle Problem
- The Mathematical Theory of Finite Element Methods
- General approach for a posteriori error estimates for finite element solutions of variational inequalities
This page was built for publication: Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity
