On finite element formulations for the obstacle problem -- mixed and stabilised methods
type: Item
instance of: scholarly article
title: On finite element formulations for the obstacle problem -- mixed and stabilised methods
zbMATH Open document ID: 1380.65114
author: Tom Gustafsson
author: Rolf Stenberg
author: Juha H. Videman
published in: Computational Methods in Applied Mathematics
publication date: 2018-01-10T00:00:00Z
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49M25
zbMATH DE Number: 6823759
zbMATH Keywords: obstacle problem
zbMATH Keywords: stabilized FEM
zbMATH Keywords: mixed FEM
zbMATH Keywords: penalty method
zbMATH Keywords: finite element
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: cmam-2017-0011
OpenAlex ID: W2622581481
cites work: Error-bounds for finite element method
cites work: The finite element method with Lagrangian multipliers
cites work: The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition
cites work: A finite element method for domain decomposition with non-matching grids
cites work: Finite Elements
cites work: Q3572290
cites work: Q5616385
cites work: Q4105995
cites work: Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods
cites work: Q3345931
cites work: Galerkin least squares finite element method for the obstacle problem
cites work: A Nitsche-based method for unilateral contact problems: numerical analysis
cites work: Q4162607
cites work: Error Estimates for the Approximation of a Class of Variational Inequalities
cites work: Q3511010
cites work: Q3995612
cites work: A new error analysis for discontinuous finite element methods for linear elliptic problems
cites work: Mixed and Stabilized Finite Element Methods for the Obstacle Problem
cites work: A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics
cites work: The Primal-Dual Active Set Strategy as a Semismooth Newton Method
cites work: Solution of variational inequalities in mechanics
cites work: Q1091210
cites work: ADAPTIVE FINITE ELEMENT METHODS FOR THE OBSTACLE PROBLEM
cites work: Nitsche’s method for general boundary conditions
cites work: Q5890172
cites work: Variational inequalities
cites work: An improved a priori error analysis of Nitsche's method for Robin boundary conditions
cites work: Q2550279
cites work: Pointwise a posteriori error control for elliptic obstacle problems
cites work: Simple \(C^ 0\) approximations for the computation of incompressible flows
cites work: Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates
cites work: Numerical solution of the obstacle problem by the penalty method
cites work: On some techniques for approximating boundary conditions in the finite element method
cites work: Q5198964
cites work: Hierarchical error estimates for the energy functional in obstacle problems
DOI: 10.1515/CMAM-2017-0011
description: scientific article; zbMATH DE number 6823759