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WIP: Feature/mixed space

Closed Nebel, Lisa Julia requested to merge lnebel/dune-gfe:feature/mixed-space into master
  1. Jul 06, 2020
  2. Jul 02, 2020
    • Lisa Julia Nebel's avatar
      Riemannian proximal newton solver: · a9b78dbc
      Lisa Julia Nebel authored
      Add first version of the Riemannian Proximal Newton solver, as an alternative to the Trust Region Solver.
      In each step of these two iterative solvers: For a given iterate x, we try to find a correction that decreases the energy of the nonlinear functional.
      This correction is calculated using the Taylor expansion around x, resulting in the problem: Hessian(x) * correction = -gradient(x).
      The correction only causes an energy decrease if the functional can be approximated correctly within a certain radius around x.
      1) The trust-region algorithm ensures this using a trust-region.
      2) The proximal newton method ensures this by "punishing" large corrections using a regularization factor.
      a9b78dbc
  3. Jun 30, 2020
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