Error control in h- and hp-adaptive FEM for Signorini's problem
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Publication:3401151
DOI10.1515/JNUM.2009.015zbMath1423.74919OpenAlexW1973259386MaRDI QIDQ3401151
Publication date: 29 January 2010
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jnum.2009.015
Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15)
Related Items
Space adaptive finite element methods for dynamic Signorini problems, A posteriori error estimates of higher-order finite elements for frictional contact problems, A posteriori error control and adaptivity of \(hp\)-finite elements for mixed and mixed-hybrid methods, Mesh and model adaptivity for frictional contact problems, Goal-oriented error control in adaptive mixed FEM for Signorini's problem, A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements, A posteriori error estimates of \(hp\)-adaptive IPDG-FEM for elliptic obstacle problems, Constrained Approximation in hp-FEM: Unsymmetric Subdivisions and Multi-Level Hanging Nodes, NCP Function--Based Dual Weighted Residual Error Estimators for Signorini's Problem, Nitsche's method for unilateral contact problems
Cites Work
- Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
- Error estimates for the finite element solution of variational inequalities. Part I. primal theory
- Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
- An adaptive finite element discretisation for a simplified Signorini problem
- A fully automatic \(hp\)-adaptivity
- Residual type a posteriori error estimates for elliptic obstacle problems
- Convergence analysis of a conforming adaptive finite element method for an obstacle problem
- An a posteriori error estimator for two-body contact problems on non-matching meshes
- A posteriori error estimations of residual type for Signorini's problem
- A posteriori error estimators for obstacle problems -- another look
- Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems
- A posteriori error estimator and error control for contact problems
- Data Oscillation and Convergence of Adaptive FEM
- Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization
- Adaptive computational methods for variational inequalities based on mixed formulations
- Error reduction and convergence for an adaptive mixed finite element method
- hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation
- On residual-based a posteriori error estimation in hp-FEM
