An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization

  title={An optimal robust equidistribution method for two-dimensional grid adaptation based on Monge-Kantorovich optimization},
  author={Gian Luca Delzanno and Luis Chac{\'o}n and John M. Finn and Yeo-Jin Chung and Giovanni Lapenta},
  journal={J. Comput. Physics},
A new cell-area equidistribution method for two-dimensional grid adaptation, based on Monge–Kantorovich optimization (or Monge–Kantorovich optimal transport), is presented. The method is based on a rigorous variational principle, in which the L2 norm of the grid displacement is minimized, constrained locally to produce a prescribed positive-definite cell volume distribution. The procedure involves solving the Monge–Ampère equation: A single, nonlinear, elliptic scalar equation with no free… CONTINUE READING
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