Consider the Governing Equation for the distribution of a contaminant in a field with a source location: ac +v . VC= V . DVC+S at with the following boundary conditions ac C(x = 0,y) = 0= ac dy ly=0 dy ly=ymax ac = Constant V.(x) = 0 ax *= xmax For the first assignment, let's make the problem a steady state one and be sure we can get that to work, then in the second assignment (next week) we'll make it transient. 1) (20pts) Therefore, formulate the FEM weighted residual representation of the governing equation through the integration by parts procedure. 0 = V . DVC-v . VC+s 2) (20pts) Write your FEM code with a D.I.T. section that reads in the mesh file and assigns all the parameter settings and stores the boundary conditions into appropriate vectors. A 2D finite element mesh has been provided and posted as: 2DQuadConcentration.txt. The format of the input file is: 2106 2002 27 26 1 # Nodes, Elements, Type 1 BCs, Type 2 (non-zero) BCs, Sources 1 0 . 000000 0 . 000000 0 . 389610 0. 000000 3 0 . 779221 0 . 000 000 Node #, x and y coordinates