Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes
From MaRDI portal
Publication:1912203
DOI10.1016/0045-7825(93)90224-LzbMath0847.73061OpenAlexW2069315883MaRDI QIDQ1912203
Publication date: 6 May 1996
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(93)90224-l
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
An asymptotically exact, pointwise, a posteriori error estimator for linear, elliptic, one-dimensional problems with possible singularities in the solution, The theory of density representation of finite element meshes. Examples of density operators with quadrilateral elements in the mapped domain, Pollution error in the \(h\)-version of the finite element method and the local quality of the recovered derivatives, Adaptive recovery of near optimal meshes in the finite element method for parameter dependent problems, Error estimates and adaptive finite element methods, 2D and 3D finite element meshing and remeshing, Local polynomial interpolation in a rectangle, The asymptotically optimal meshsize function for bi-p degree interpolation over rectangular elements
Cites Work
- Unnamed Item
- A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods
- 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
- On an h-type mesh-refinement strategy based on minimization of interpolation errors
- Computational error estimates and adaptive processes for some nonlinear structural problems
- Basic principles of feedback and adaptive approaches in the finite element method
- On a mesh optimization method based on a minimization of interpolation error
- A feedback finite element method with a posteriori error estimation. I: The finite element method and some basic properties of the a posteriori error estimator
- Adaptive finite element methods for the analysis of inviscid compressible flow: I: Fast refinement/unrefinement and moving mesh methods for unstructured meshes
- Implementation of an adaptive refinement technique for the SUPG algorithm
- Asymptotically exact a posteriori error estimator for biquadratic elements
- Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method
- A unified approach to a posteriori error estimation using element residual methods
- An asymptotically exact, pointwise, a posteriori error estimator for linear, elliptic, one-dimensional problems with possible singularities in the solution
- The theory of density representation of finite element meshes. Examples of density operators with quadrilateral elements in the mapped domain
- Superconvergence recovery technique anda posteriori error estimators
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Analysis of Optimal Finite-Element Meshes in R 1
- A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems
- Adaptivity and mesh generation
- A new approach to the development of automatic quadrilateral mesh generation
- A‐posteriori error estimates for the finite element method
- Error Estimates for Adaptive Finite Element Computations
