Optimal meshes and h-p adaptivity

Author

Vanti, Marcelo G. ; Raizer, Adroaldo ; Maréchal, Yves

Author_Institution

Univ. Fed. de Santa Catarina, Florianopolis, Brazil

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1752

Lastpage

1755

Abstract

This paper concerns the theory and implementation of the p and h-p adaptive versions of the finite element method. The different procedures of adaptivity and the optimal mesh concept are discussed and a methodology to obtain optimal or quasi optimal meshes with hierarchical elements is presented. The error estimator used and the algorithm implemented are also presented. The efficiency is demonstrated in two classical 2D examples. In this examples, we have analysed both cases the regular solution and non-regular one, and the meshes obtained during the adaptive processes are compared

Keywords

adaptive estimation; electromagnetic induction; error analysis; mesh generation; optimisation; 2D examples; adaptive processes; adaptivity; algorithm; error estimator; finite element method; h-p adaptivity; hierarchical elements; nonregular processes; optimal meshes; quasi optimal meshes; regular solution; Adaptive control; Adaptive mesh refinement; Error analysis; Error correction; Finite element methods; Poisson equations; Polynomials; Postal services; Programmable control; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582612

Filename

582612