> Is deal.II capable of handling complex geometries and boundaries?

Yes. It's even an entry in the FAQ :-)

http://dealii.sourceforge.net/index.php/Deal.II_Questions_and_Answers#How_do_I_create_the_mesh_for_my_problem.3F

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Wolfgang Bangerth                email:            [email protected]
                                 www: http://www.math.tamu.edu/~bangerth/
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