A C 0 interior penalty method for a fourth-order variational inequality of the second kind
From MaRDI portal
Publication:2804365
DOI10.1002/num.21983zbMath1339.65088OpenAlexW2132990239MaRDI QIDQ2804365
Thirupathi Gudi, Kamana Porwal
Publication date: 29 April 2016
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21983
variational inequalitiesfinite elementerror estimatefrictional contact probleminterior penalty method
Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Discontinuous Galerkin methods for a contact problem with Tresca friction arising in linear elasticity ⋮ A new error analysis of Bergan's energy-orthogonal element for a plate contact problem ⋮ Adaptive finite element methods for a fourth order obstacle problem and a state constrained optimal control problem ⋮ An A Posteriori Analysis of $C^0$ Interior Penalty Methods for the Obstacle Problem of Clamped Kirchhoff Plates ⋮ Unified analysis of discontinuous Galerkin methods for frictional contact problem with normal compliance ⋮ A stabilised finite element method for the plate obstacle problem ⋮ A Posteriori Estimates for Conforming Kirchhoff Plate Elements ⋮ Finite element methods: research in India over the last decade
Cites Work
- 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
- \(C^0\) interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
- 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
- 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
- Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
- On the quadratic finite element approximation to the obstacle problem
- Error estimates for an LDG method applied to Signorini type problems
- Analysis of an interior penalty method for fourth order problems on polygonal domains
- Residual type a posteriori error estimates for elliptic obstacle problems
- A reliable residual based a posteriori error estimator for a quadratic finite element method for the elliptic obstacle problem
- A posteriori error analysis for finite element solutions of a frictional contact problem
- 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
- 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
- Adaptive Finite Element Solution of Variational Inequalities with Application in Contact Problems
- An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem
- Theoretical Numerical Analysis
- Error Estimates for the Approximation of a Class of Variational Inequalities
- An Introduction to Variational Inequalities and Their Applications
- Nonconforming Finite Element Analysis for a Plate Contact Problem
- A Remark on the A Posteriori Error Analysis of Discontinuous Galerkin Methods for the Obstacle Problem
- Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity
- 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: A C 0 interior penalty method for a fourth-order variational inequality of the second kind
