I'm an entousiast of COMSOL and Multiphysics simualtions in general, I use extensively Maple and in particular MapleSim to perform point checks and verifications of my FEM models. For this the analytical approach of Maple is great, and the clean simple "block" approach of Modelica or Maple's version MapleSim (close to Simulink), makes it very easy and quick to build up simple, and more complex models.
For me COMSOL and MapleSim are very different, COMSOL is a FEM tools taylored to do numerical PDE solving (the first and only one I know about with this large and clean multiphysics approach), while MapleSim is a general analytical mathematical PDE tool built upon the analytical mathematical Solver Maple, and following the methodology of Modelica. For me they are complmentary but in no way one replaces the other. And for most engineering simulations both are required to do a correct job (at least for complex studies going outside of traditions simple schoolbook studies).
I must admint that we also use Matlab and Simulink, but this is really when we talk about numerical simulation and implementation of control laws for our engineering models, based often on COMSOL studies, verified by MapleSim.
But if your are more interested in the mathematics, then probably Maple and MapleSim will have a greater impact, as they are a more general mathematical tool than COMSOL. And if you say "you do not need the geometry" then I interprete this are a greater interest in the mathematics than the engineering (I may be wrong).
Hope this helps on the way