Hi. I am solving a 2-d time independent heat conduction equation using deal.II using theta scheme (implicit Euler) as my time discretization scheme and local adaptive refinement for mesh refinement. The domain is [-1,1], with initial condition T=1 for a square of length 0.2 at the center, and T=0 elsewhere. Boundary condition is 0 at all the boundaries. I realize that if I start with a rather coarse mesh (say put an initial global refinement of 3), the resolution of the mesh at initial time steps is very poor and the solution won't be accurate. But if I start with a fine mesh (say start with global refinement of 5), the resolution improves.
But if I wish to add in external heat source (say T=1) at some later time > 0 at the location where the meshes are coarse, I will get poor resolution at that location. Any idea on how to deal with this problem? Or is it fine if I get poor resolution? Thank you! Sincerely, Soon Hoe _______________________________________________ dealii mailing list http://poisson.dealii.org/mailman/listinfo/dealii
