Starting with the simpler form of Laplace's Equation $\nabla^2u = f$ and taking $u = \sin{\pi x}\sin{\pi y}$ (so we already know the exact solution) setup a FEM approximation to find $u$ and compare with the known solution.
[x] Write code to parse a .obj file which will define the domain
[x] Write code to correct the the order of vertices in a face definition (see #8)
[x] Define the local mass and stiffness matrices we have defined (#5 ) in python
[x] Labelling is exceptionally important! (Which as the code is currently written means order of the vertices is) We need a way to make the code more resilient to changes in the mesh
[x] Use the local matrices and the 'fixed' vertex to build the global system of equations
Starting with the simpler form of Laplace's Equation $\nabla^2u = f$ and taking $u = \sin{\pi x}\sin{\pi y}$ (so we already know the exact solution) setup a FEM approximation to find $u$ and compare with the known solution.
.objfile which will define the domain