Numerical solution of an adhesion problem with FEM and BEM

DOI10.1016/j.apnum.2012.01.007zbMath1329.74280OpenAlexW2080785740MaRDI QIDQ413634

Leo Nesemann, Ernst Peter Stephan

Publication date: 7 May 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.01.007

zbMATH Keywords

finite element methodboundary element methodhemivariational inequalitiescontact mechanics

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for variational inequalities and related problems (65K15)

Related Items

From the Fan-KKM principle to extended real-valued equilibria and to variational-hemivariational inequalities with application to nonmonotone contact problems, Noncoercive variational-hemivariational inequalities: existence, approximation by double regularization, and application to nonmonotone contact problems, Coupling regularization and adaptive \(hp\)-BEM for the solution of a delamination problem, On the coupling of regularization techniques and the boundary element method for a hemivariational inequality modelling a delamination problem, Coupling of finite element and boundary element methods with regularization for a nonlinear interface problem with nonmonotone set-valued transmission conditions, From solvability and approximation of variational inequalities to solution of nondifferentiable optimization problems in contact mechanics

Uses Software

• NDA
• PNEW

Cites Work

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• Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities.
• Integral equations with non integrable kernels
• A bundle-Newton method for nonsmooth unconstrained minimization
• Generalized second-order characterizations of convex functions
• On the adaptive coupling of FEM and BEM in 2-d elasticity
• Finite element method for hemivariational inequalities. Theory, methods and applications
• Adaptive \(hp\)-versions of BEM for Signorini problems
• A boundary element procedure for contact problems in plane linear elastostatics
• Additive schwarz methods for the H-version boundary element method
• Adaptive Boundary Element Mevthods for Some First Kind Integral Equations
• Algorithm 811: NDA