Naive Implementation - Fixed Domain

[emvalbuena]

The goal is to build a simple code base that solves the reduction problem completely for a fixed domain.

Is this naive approach, the Discrete Empirical Interpolation is not used, since it would only add extra layers of complexity.
The ROM operators are obtained by assembly and projection of the FOM operators.

I am aware this does not honor the offline-online split principle, but it does allow me to tackle all the implementation details.
Once these are dealt with, implementing the (M)DEIM algorithms should not be too cumbersome.

## Steps

• Definition of Manufactured Solution FOM : Manufactured Solutions #10.
• Parametrized FOM Solver FOM : Install and pass FEniCS tests #7 FOM : Set up solver in FEniCS for the heat equation in a fixed geometry  #2 FOM : Asymptotic convergence for grid size #9 ENH: Use assemble_system instead of generic solve method #15.
• Basis construction: POD SVD orthogonalisation FOM : Snapshot generator #4 ROM : POD Implementation #5.
• Parametrized ROM Solver ROM : Solver and Reconstruction - Definition #8 ROM : Solver and Reconstruction #6.