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Zbl 0848.65078
Li, L.-Y.; Bettess, P.; Bull, J.W.; Bond, T.; Applegarth, I.
Theoretical formulations for adaptive finite element computations. (English)
[J] Commun. Numer. Methods Eng. 11, No.10, 857-868 (1995). ISSN 1069-8299; ISSN 1099-0887/e

A new mesh refinement formulation for adaptive finite element solutions of linear elliptic problems is presented. This mesh refinement formulation improves significantly adaptivity performance and has higher error convergence rates than those usually used. The reliability of a posteriori estimate methods is investigated by means of asymptotic analysis methods. The efficiency of the presented method is illustrated by two numerical examples of Reissner-Mindlin plate bending problems.
[V.V.Kobkov (Novosibirsk)]

MSC 2000:: *65N30 Finite numerical methods (BVP of PDE)
35J25 Second order elliptic equations, boundary value problems
74S05 Finite element methods
65N50 Mesh generation and refinement (BVP of PDE)
65N15 Error bounds (BVP of PDE)
74K20 Plates

Keywords: adaptive finite element method; error estimate mesh; mesh refinement; numerical examples; Reissner-Mindlin plate bending

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