Isotropic and Anisotropic Adaptive Meshes : Models and Convergence Properties

  • A. Dervieux
  • D. Leservoisier
  • B. Palmerio
  • Y. Coudière
Conference paper
Part of the Notes on Numerical Fluid Mechanics (NNFM) book series (NNFM, volume 78)


We review shortly two mathematical notions for mesh adaption, the order of convergence when the number of nodes is considered, and the functional model of continuous metrics. We point out the rather poor convergence properties of isotropic mesh adaption strategies, by exhibiting a barrier for the order of convergence. We show that the continuous metrics concept opens the door too an elegant derivation of optimal mesh adaption. These ideas are presented in the simplified case of mesh adaptive interpolation or compression. We dedicate this work to Professor Satofuka, expressing our admiration for the work of the scientist and our friendliness for our colleague.


Mesh Adaption Adaptive Mesh Refinement Mesh Adaptation Continuous Metrics Finite Element Interpolation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • A. Dervieux
    • 1
  • D. Leservoisier
    • 2
    • 3
  • B. Palmerio
    • 4
  • Y. Coudière
    • 1
  1. 1.INRIASophia-AntipolisFrance
  2. 2.SNECMA VillarocheMoissy CramayelFrance
  3. 3.INRIAFrance
  4. 4.Laboratoire de MathématiquesUniversité de Nice et Sophia-AntipolisNiceFrance

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