Numerical solution of the porous medium equation using a structure-preserving Lagrangian scheme
Numerical solution of the porous medium equation using a structure-preserving Lagrangian scheme whose key ingredient is the gradient flow structure of the dynamics. The scheme [Carrillo, Düring, Matthes and McCormick, 2018] approximates the associated Lagrangian maps using a finite dimensional subspace of linear maps in space, while the time discretisation is based on the minimising movement scheme
https://doi.org/10.1007/s10915-017-05...