Natural hierarchical refinement for finite element methods

@inproceedings{Krysl2003NaturalHR,
  title={Natural hierarchical refinement for finite element methods},
  author={Petr Krysl and Eitan Grinspun and P. Schroeder},
  year={2003}
}
Current formulations of adaptive finite element mesh refinement seem simple enough, but their implementations prove to be a formidable task. We offer an alternative point of departure which yields equivalent adapted approximation spaces wherever the traditional mesh refinement is applicable, but our method proves to be significantly simpler to implement. At the same time it is much more powerful in that it is general (no special tricks are required for different types of finite elements), and… CONTINUE READING
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