I am a beginner in adaptive mesh refinement (AMR). After I am done with the first two papers by Dr. Marsha Berger, I was trying to write my own code for a problem which has a parabolic partial differential equation. In this regard, I wish to know if I could use the same trick as described by Dr. Berger to this problem? Because she dealt with hyperbolic PDEs.
I am trying to simulate a two dimensional heat conduction problem of which governing equation is just a Laplace equation and temperature at a nodal point average of neighboring four nodal points.