Goal-oriented error control in adaptive mixed FEM for Signorini's problem
From MaRDI portal
Publication:643968
DOI10.1016/j.cma.2010.08.015zbMath1225.74106OpenAlexW2167868434MaRDI QIDQ643968
Andreas Rademacher, Andreas Schröder
Publication date: 2 November 2011
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2010.08.015
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15)
Related Items
Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity, The dual-weighted residual estimator realized on polygonal meshes, Mesh and model adaptivity for frictional contact problems, NCP Function--Based Dual Weighted Residual Error Estimators for Signorini's Problem, A partition-of-unity dual-weighted residual approach for multi-objective goal functional error estimation applied to elliptic problems, Dual weighted residual error estimation for the finite cell method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
- A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelasticity problems
- A \(p\)-version finite element method for nonlinear elliptic variational inequalities in 2D
- Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods
- Solution of variational inequalities in mechanics
- A posteriori finite element bounds for linear-functional outputs of elliptic partial differential equations
- Goal-oriented \(hp\)-adaptivity for elliptic problems.
- An adaptive finite element discretisation for a simplified Signorini problem
- On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
- A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem
- Residual type a posteriori error estimates for elliptic obstacle problems
- Schwankung von Polynomen zwischen Gitterpunkten. (Oscillations of polynomials between lattice points)
- An a posteriori error estimator for two-body contact problems on non-matching meshes
- On computational methods for variational inequalities. Consistent error estimation of FE-approximation
- The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
- 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
- Error control in h- and hp-adaptive FEM for Signorini's problem
- An optimal control approach to a posteriori error estimation in finite element methods
- On adaptive computational methods: global norms controlling local errors
- Further regularity for the signorini problem
- Duality-based adaptivity in the hp-finite element method
- A Posteriori Control of Modeling Errors and Discretization Errors
- Adaptive computational methods for variational inequalities based on mixed formulations
