Meshless Helmholtz-Hodge Decomposition

@article{Petronetto2010MeshlessHD,
  title={Meshless Helmholtz-Hodge Decomposition},
  author={Fabiano Petronetto and Afonso Paiva and Marcos Lage and Geovan Tavares and H{\'e}lio Lopes and Thomas Lewiner},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  year={2010},
  volume={16},
  pages={338-349}
}
Vector fields analysis traditionally distinguishes conservative (curl-free) from mass preserving (divergence-free) components. The Helmholtz-Hodge decomposition allows separating any vector field into the sum of three uniquely defined components: curl free, divergence free and harmonic. This decomposition is usually achieved by using mesh-based methods such as finite differences or finite elements. This work presents a new meshless approach to the Helmholtz-Hodge decomposition for the analysis… CONTINUE READING

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Equação de Poisson e a Decomposição de Helmholtz-Hodge usando SPH

  • F. Petronetto
  • PhD dissertation, PUC-Rio, 2008.
  • 2008
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