In this talk, we introduce an adaptive method for singular
problem based on iterative grid redistribution procedure.
The iterative procedure enables us to gain more control of
the grid distribution near the regions of large solution
variations. The method is particularly effective for solving
PDE's with singular solutions (e.g. blow up solutions).
The method is implemented in both two and three dimensions(in
the case of 3d, it is also parallelized with domain decomposition
techniques). Applications includes NLS with normal dispersion and
BEC with attractive potential. In particular, examples with truly three
dimensional structures (such as line singularities) will also be shown.
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