Optimal convergence analysis of the unilateral contact problem with and without Tresca friction conditions by the penalty method

DOI10.1016/j.jmaa.2018.11.023zbMath1457.74179OpenAlexW2900534372WikidataQ128950983 ScholiaQ128950983MaRDI QIDQ2414750

Ibrahima Dione

Publication date: 17 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.11.023

zbMATH Keywords

linear elasticityfinite element methoda priori error estimate

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)

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Stokes equations under Tresca friction boundary condition: a truncated approach ⋮ Error estimates of piezoelectric Signorini's contact problems ⋮ Numerical approximation of a frictional contact problem in elasto‐plasticity based on the penalty approach ⋮ A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity ⋮ A kind of FM-BEM penalty function method for a 3D elastic frictional contact nonlinear system ⋮ Error analysis of the compliance model for the Signorini problem

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