A unified approach to remeshing strategies for finite element h-adaptivity

Author (s): Díez, P. and Huerta, A.
Journal: Computer Methods in Applied Mechanics and Engineering

Volume: 176, Issues 1, 4
Pages: 215 – 229
Date: 1999

Abstract:
In h-adaptivity, a remeshing strategy is needed to compute the distribution of required element size using the estimated error distribution. Several authors have introduced different remeshing strategies yielding very different results.
In this work these methods are included in a unified framework, emphasizing the role of the underlying hypotheses. Moreover, an objective tool to evaluate the accuracy of the resulting finite element solution is presented. Thus, a new remeshing strategy is introduced to optimize the accuracy of the adapted solutions. The different remeshing strategies are compared with well-known numerical examples.

Journal paper (from the publisher)  
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Bibtex:

@article{PDM-DH:99,
  Author   = {Pedro Diez and Antonio Huerta},
  Title    = {A unified approach to remeshing strategies for finite element h-adaptivity},
  Fjournal = {Computer Methods in Applied Mechanics and Engineering},
  Journal  = {Comput. Methods Appl. Mech. Eng.},
  Volume   = {176},
  Number   = {1-4},
  Pages    = {215--229},
  Year     = {1999},
  Doi      = {10.1016/S0045-7825(98)00338-7},
  Url      = {http://dx.doi.org/10.1016/S0045-7825(98)00338-7}}