Meshfree semi-lagrangian methods for solving surface advection pdes

HIGHLIGHTS

  • who: Argyrios Petras from the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Altenbergerstrasse, Linz, Austria have published the article: Meshfree Semi-Lagrangian Methods for Solving Surface Advection PDEs, in the Journal: (JOURNAL)
  • what: The authors provide detailed descriptions for implementing the proposed methods to run on point clouds. After verifying the convergence rates against the theory the authors show that the proposed method is a robust building block for more complicated problems such as problems with non-solenoidal velocity field inviscid Burgers' equations and systems of reaction diffusion equations for pattern formation. The . . .

     

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