A second order time-stepping scheme for parabolic interface problems with moving interfaces

@inproceedings{Frei2017ASO,
  title={A second order time-stepping scheme for parabolic interface problems with moving interfaces},
  author={Stefan Frei and Thomas Richter},
  year={2017}
}
We present a second order time-stepping scheme for parabolic problems on moving domains and interfaces. The diffusion coefficient is discontinuous and jumps across an interior interface. This causes the solution to have discontinuous derivatives in space and time. Without special treatment of the interface, both spatial and temporal discretization will be sub-optimal. For such problems, we develop a time-stepping method, based on a cG(1) Eulerian space-time Galerkin approach. We show −both… CONTINUE READING