Adaptive mesh films


Keller-Segel system (1D)

  • meta stability.
  • spikes
  • depletion.
  • double vs quad precission
  • Gibss effect (film#1 and film#2)

  • Evolution of two spikes.
  • t=0-703.5 (phys. coord.).
  • t=0-703.5 (comp. coord.).
  • t=0-800000 (phys. coord.).
  • t=0-800000 (phys. coord., log-plot).
  • t=0-800000 (comp. coord.).

    • Keller-Segel system (radially symmetric)

  • saturation of the mesh near blow-up.

    • Keller-Segel system (2D)

  • u(x,y,t) with fixed mesh.
  • u(x,y,t) with adaptive mesh.
  • u(x,y,t) with adaptive mesh (view from front).
  • the adaptive mesh.

    • Nagumo Equation: Travelling Waves

  • Travelling Waves in Moving Coordinate System
    •

    Schrodinger Equation (2D)

  • |u(r,t)| versus r (physical coordinate).
  • |u(r,t)| versus \xi (computational coordinate).
  • |u(r,t)|/max_r(|u(r,t)|) versus \xi (computational coordinate).

    • Schrodinger Equation (3D)

  • |u(r,t)| versus r (physical coordinate).
  • |u(r,t)| versus \xi (computational coordinate).
  • |u(r,t)|/max_r(|u(r,t)|) versus \xi (computational coordinate).