On the contact domain method: a comparison of penalty and Lagrange multiplier implementations
type: Item
instance of: scholarly article
title: On the contact domain method: a comparison of penalty and Lagrange multiplier implementations
zbMATH Open document ID: 1239.74075
author: R. Weyler
author: J. Oliver
author: T. Sain
author: J. C. Cante
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2012-06-02T00:00:00Z
full work available at URL: http://hdl.handle.net/2117/192415
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74G15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
zbMATH DE Number: 6042316
zbMATH Keywords: contact domain method
zbMATH Keywords: Lagrange multiplier method
zbMATH Keywords: penalty method
zbMATH Keywords: regularized penalty method
zbMATH Keywords: interior penalty method
MaRDI profile type: Publication
OpenAlex ID: W2045861968
Wikidata QID: Q61734890
cites work: A solution method for planar and axisymmetric contact problems
cites work: Q3138732
cites work: A consistent penalty method for contact between a deforming viscoplastic workpiece and a rigid tool
cites work: Frictionless 2D contact formulations for finite deformations based on the mortar method
cites work: Mortar-based frictional contact formulation for higher-order interpolations using the moving friction cone
cites work: Sliding interfaces with contact-impact in large-scale Lagrangian computations
cites work: A contact domain method for large deformation frictional contact problems. II: Numerical aspects
cites work: Stabilized Lagrange multiplier methods for bilateral elastic contact with friction
cites work: Q2550279
cites work: A contact domain method for large deformation frictional contact problems. I: Theoretical basis
cites work: A framework for development of surface smoothing procedures in large deformation frictional contact analysis
cites work: A mixed formulation for the finite element solution of contact problems
cites work: A mortar segment-to-segment contact method for large deformation solid mechanics.
cites work: A mortar segment-to-segment frictional contact method for large deformations
cites work: A perturbed Lagrangian formulation for the finite element solution of contact problems
cites work: A mortar-based frictional contact formulation for large deformations using Lagrange multipliers
cites work: A note on tangent stiffness for fully nonlinear contact problems
cites work: A formulation for frictionless contact problems using a weak form introduced by Nitsche
cites work: Two dimensional mortar contact methods for large deformation frictional sliding
cites work: The node-to-segment algorithm for 2D frictionless contact: classical formulation and special cases
cites work: A superlinear convergent augmented Lagrangian procedure for contact problems
DOI: 10.1016/J.CMA.2011.01.011
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description: scientific article; zbMATH DE number 6042316