On the finite element solution of frictionless contact problems using an exact penalty approach
type: Item
instance of: scholarly article
title: On the finite element solution of frictionless contact problems using an exact penalty approach
zbMATH Open document ID: 1506.74228
author: Fabian Sewerin
author: P. Papadopoulos
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2021-04-26T00:00:00Z
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 7337970
zbMATH Keywords: contact
zbMATH Keywords: finite element method
zbMATH Keywords: exact penalty
zbMATH Keywords: Lagrange multipliers
MaRDI profile type: Publication
full work available at URL: j.cma.2020.113108
OpenAlex ID: W3036010231
cites work: Q4315527
cites work: Q3995612
cites work: A mixed formulation for frictional contact problems prone to Newton like solution methods
cites work: Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy
cites work: A finite deformation mortar contact formulation using a primal-dual active set strategy
cites work: Q2550279
cites work: A Nitsche stabilized finite element method for frictional sliding on embedded interfaces. I: Single interface
cites work: An unbiased Nitsche's formulation of large deformation frictional contact and self-contact
cites work: A formulation for frictionless contact problems using a weak form introduced by Nitsche
cites work: A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes
cites work: Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches
cites work: Q4099846
cites work: Q4404037
cites work: Q5675557
cites work: A quadratically convergent primal-dual algorithm with global convergence properties for solving optimization problems with equality constraints
cites work: A multiplier method with automatic limitation of penalty growth
cites work: On the global stabilization of locally convergent algorithms
cites work: A novel three-dimensional contact finite element based on smooth pressure interpolations
cites work: Q3994823
cites work: An analysis of dual formulations for the finite element solution of two-body contact problems
cites work: Q3908578
cites work: Multiplier and gradient methods
cites work: An augmented lagrangian treatment of contact problems involving friction
cites work: An exact penalty function for nonlinear programming with inequalities
cites work: Q4000421
cites work: A simple algorithm for three-dimensional finite element analysis of contact problems
cites work: Mortar-based frictional contact formulation for higher-order interpolations using the moving friction cone
DOI: 10.1016/J.CMA.2020.113108
description: scientific article; zbMATH DE number 7337970