Mortaring for linear elasticity using mixed and stabilized finite elements

DOI10.1016/j.cma.2022.115796OpenAlexW4311426234MaRDI QIDQ2678523

Juha H. Videman, Peter Råback, Tom Gustafsson

Publication date: 23 January 2023

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.02418

zbMATH Keywords

linear elasticityfinite elementsmortar methodstie contact

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Uses Software

• Gmsh
• ParaView
• Matplotlib
• Elmer
• scikit-fem

Cites Work

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• Stabilized low-order finite elements for frictional contact with the extended finite element method
• An introduction to Sobolev spaces and interpolation spaces
• A discontinuous stabilized mortar method for general 3D elastic problems
• Boundary subspaces for the finite element method with Lagrange multipliers
• The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition
• The mortar finite element method for contact problems.
• A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
• The mortar finite element method with Lagrange multipliers
• Error analysis of Nitsche's mortar method
• Stabilized Lagrange multiplier methods for bilateral elastic contact with friction
• BV estimates for mortar methods in linear elasticity
• On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces
• A comparison of mortar and Nitsche techniques for linear elasticity
• The finite element method with Lagrangian multipliers
• Variationally consistent discretization schemes and numerical algorithms for contact problems
• Nitsche's method for interface problems in computa-tional mechanics
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• Mixed and Stabilized Finite Element Methods for the Obstacle Problem
• Uniform $hp$ convergence results for the mortar finite element method
• On Nitsche's Method for Elastic Contact Problems
• Stabilized finite elements for Tresca friction problem