A priori error estimation of \(hp\)-finite element approximations of frictional contact problems with normal compliance

DOI10.1016/0020-7225(93)90104-3zbMath0772.73078OpenAlexW2049967474MaRDI QIDQ2368256

Yanyan Li

Publication date: 24 August 1993

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(93)90104-3

zbMATH Keywords

convergencevariational inequalitiesregularizationnonlinear equationssteady sliding

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods for boundary value problems involving PDEs (65N06) Theories of friction (tribology) (74A55)

Related Items (13)

Time-discretized variational formulation of non-smooth frictional contact ⋮ On the adaptive finite element method of steady-state rolling contact for hyperelasticity in finite deformations ⋮ A posteriori error estimation of \(h-p\) finite element approximations of frictional contact problems ⋮ Unified analysis of discontinuous Galerkin methods for frictional contact problem with normal compliance ⋮ A priori error estimate of virtual element method for a quasivariational-hemivariational inequality ⋮ Finite element analysis of nonsmooth contact ⋮ Discontinuous Galerkin Methods for Solving a Frictional Contact Problem with Normal Compliance ⋮ Error estimates and adaptive finite element methods ⋮ A posteriori error analysis for the normal compliance problem ⋮ A priori error estimates of discontinuous Galerkin methods for a quasi-variational inequality ⋮ On the numerical approximation of a frictional contact problem with normal compliance ⋮ Virtual element method for a frictional contact problem with normal compliance ⋮ Theory and approximation of quasistatic frictional contact problems

Cites Work

• Unnamed Item
• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• Toward a universal h-p adaptive finite element strategy. II: A posteriori error estimation
• Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
• Models and computational methods for dynamic friction phenomena
• Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws
• On friction problems with normal compliance
• The $h-p$ version of the finite element method with quasiuniform meshes
• On some existence and uniqueness results in contact problems with nonlocal friction
• Equivalent Norms for Sobolev Spaces

This page was built for publication: A priori error estimation of \(hp\)-finite element approximations of frictional contact problems with normal compliance