Adaptive recovery of near optimal meshes in the finite element method for parameter dependent problems

DOI10.1016/0045-7825(92)90019-GzbMath0781.65096OpenAlexW1994410634MaRDI QIDQ686936

Jens Hugger

Publication date: 17 October 1993

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(92)90019-g

zbMATH Keywords

iterative methodmesh selectionadaptive constructionnearly optimal finite element meshesparameter dependent problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (5)

An asymptotically exact, pointwise, a posteriori error estimator for linear, elliptic, one-dimensional problems with possible singularities in the solution ⋮ Adaptive recovery of near optimal meshes in the finite element method for parameter dependent problems ⋮ Error estimates and adaptive finite element methods ⋮ Local polynomial interpolation in a rectangle ⋮ The asymptotically optimal meshsize function for bi-p degree interpolation over rectangular elements

Cites Work

• Adaptive recovery of near optimal meshes in the finite element method for parameter dependent problems
• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• 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 remeshing for compressible flow computations
• An adaptive, multi-level method for elliptic boundary value problems
• 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
• Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• A simple error estimator and adaptive procedure for practical engineerng analysis
• An Adaptive Finite Element Method for Linear Elliptic Problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Adaptive recovery of near optimal meshes in the finite element method for parameter dependent problems