All first-order averaging techniques for a posteriori finite element error control on unstructured grids are efficient and reliable
From MaRDI portal
Publication:4813578
DOI10.1090/S0025-5718-03-01580-1zbMath1067.65115MaRDI QIDQ4813578
Publication date: 13 August 2004
Published in: Mathematics of Computation (Search for Journal in Brave)
finite element methodefficiencygradient recoveryelliptic problemsaveraging operatora posteriori error estimatenonconforming elements
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Numerical homogenization of non-linear parabolic problems on adaptive meshes, On some new recovery-based a posteriori error estimators, Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation, Anisotropic adaptive finite elements for an elliptic problem with strongly varying diffusion coefficient, A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models, Properties of the multidimensional finite elements, Design of innovative self-expandable femoral stents using inverse homogenization topology optimization, Averaging techniques for reliable a posteriori FE error control in elastoplasticity with hardening, An oscillation-free adaptive FEM for symmetric eigenvalue problems, Adaptive finite element methods for elliptic equations over hierarchical T-meshes, ZZ-type a posteriori error estimators for adaptive boundary element methods on a curve, A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces, On the use of anisotropica posteriorierror estimators for the adaptative solution of 3D inviscid compressible flows, Adaptive finite elements with large aspect ratio based on an anisotropic error estimator involving first order derivatives, A posteriori error estimator competition for conforming obstacle problems, An anisotropic Zienkiewicz-Zhu-type error estimator for 3D applications, A posteriori error estimators, gradient recovery by averaging, and superconvergence, Averaging techniques yield reliable a posteriori finite element error control for obstacle problems, Ten remarks on nonconvex minimisation for phase transition simulations, Multiscale algorithm with patches of finite elements, Robust recovery-type \textit{a posteriori} error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems, A posteriori error estimators for convection-diffusion eigenvalue problems, Asymptotically Exact A Posteriori Error Estimates of Eigenvalues by the Crouzeix--Raviart Element and Enriched Crouzeix--Raviart Element, Effective relaxation for microstructure simulations: algorithms and applications
Cites Work
- Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
- Averaging techniques for reliable a posteriori FE error control in elastoplasticity with hardening
- Enhanced assumed strain elements and locking in membrane problems
- A posteriori error estimates for nonconforming finite element methods
- A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
- Some remarks on Zienkiewicz‐Zhu estimator
- Fully Reliable Localized Error Control in the FEM
- Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
- Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
- Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
- Averaging technique for a posteriori error control in elasticity. III: Locking-free nonconforming FEM.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item