The theory of density representation of finite element meshes. Examples of density operators with quadrilateral elements in the mapped domain

DOI10.1016/0045-7825(93)90223-KzbMath0845.73069OpenAlexW2075962376MaRDI QIDQ1912202

Jens Hugger

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)90223-k

zbMATH Keywords

point singularitiesmesh gradingadaptive solution

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

An asymptotically exact, pointwise, a posteriori error estimator for linear, elliptic, one-dimensional problems with possible singularities in the solution ⋮ Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes ⋮ 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

Uses Software

• PITCON

Cites Work

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• Basic principles of feedback and adaptive approaches in the finite element method
• 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
• Recovery and few parameter representation of the optimal mesh density function for near optimal finite element meshes
• A locally parameterized continuation process
• An Adaptive Finite Element Method for Linear Elliptic Problems
• Adaptive finite element analysis with quadrilaterals
• Adaptivity and mesh generation

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