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Natural element method

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The Natural Element Method (NEM) [1][2] is a meshfree method to solve partial differential equation, where the elements don't have a predefined shape like the Finite Element Method, but depend on the geometry.

A Voronoi diagram partitioning the space is used to create each of these elements.

Laplace interpolation functions are then used to model the unknown function within each element.

References

  1. ^ Sukumar, N.; Moran, B.; Belytschko, T. (21 June 1998). "The natural element method in solid mechanics". International Journal for Numerical Methods in Engineering. 43 (5): 839–887. doi:10.1002/(SICI)1097-0207(19981115)43:53.0.CO;2-R. Retrieved 21 June 2019 – via Wiley Online Library.
  2. ^ https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.1016