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Geometric Discretization of the EPDiff Equations

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 نشر من قبل Dmitry Pavlov
 تاريخ النشر 2015
  مجال البحث
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 تأليف Dmitry Pavlov




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The main objective of this paper is to develop a general method of geometric discretization for infinite-dimensional systems and apply this method to the EPDiff equation. The method described below extends one developed by Pavlov et al. for incompressible Euler fluids. Here this method is presented in a general case applicable to all, not only divergence-free, vector fields. Also, a different (pseudospectral) representation of the velocity field is used. We will apply this method to the one-dimensional EPDiff equation and present numerical results.



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