Adaptive non‐nested multigrid methods
Marco L. Bittencourt
(Departamento de Projeto Mecânico, Faculdade de Engenharia Mecânica, Universidade Estadual de Campinas, Campinas, SP, Brazil)
Craig C. Douglas
(Department of Mathematics University of Kentucky, Lexington, KY, USA)
Raúl A. Feijóo
(Laboratório Nacional de Computac¸ão Cientı´fica (LNCC/CNPq) Petrópolis, RJ, Brazil)
277
Abstract
This paper presents some linear adaptive non‐nested multigrid methods which are applied to linear elastic problems discretized with triangular and tetrahedral finite elements using unstructured and Delaunay mesh generators. The Zienkiewicz‐Zhu error estimator and a h‐refinement procedure are used to obtain the non‐nested meshes used by the multigrid methods. We solve problems with a specified percentage error in the energy norm using the optimal performance of multigrid methods.
Keywords
Citation
Bittencourt, M.L., Douglas, C.C. and Feijóo, R.A. (2002), "Adaptive non‐nested multigrid methods", Engineering Computations, Vol. 19 No. 2, pp. 158-176. https://doi.org/10.1108/02644400210419030
Publisher
:MCB UP Ltd
Copyright © 2002, MCB UP Limited