Area of Application
 
SOFAR can cope with hyperbolic and parabolic problems, both possible as time-dependant problems. Hyperbolic problems also work with Rayleigh damping.
Here is a short list of the various problems SOFAR is capable to solve.
  • standard elliptic problems like Laplace's equation and linear elasticity
  • SOFAR can deal with thermoelasticity which combines parabolic and hyperbolic problems.
  • wave equation and structural dynamics; rotation using ALE
  • Static and dynamic obstacle problems. Here projective solvers (e.g. the projective SSOR method) are used. In case the task is given as a saddle point problem special solvers as the USAWA method are applied.
    Formulating the problem in the dual variable allows to utilize solvers originally used in optimization.
  • SOFAR is capable of solving thermoelastic dynamic contact problems which combine all of the mentioed aspects
  • Multibody contact problem with Lagrange multipliers on non-matching meshes
  • the (simplified) Signorini problem