gopikrishnancr/conforming_lagrange_polyn_fem

Implements Lagrange polynomial finite elements for Elliptic PDE for polynomial degrees 1 to 5. The covergence rates and graphical representations are included.

Conforming_Lagrange_Polyn_FEM

This code is intended to perform conforming Lagrange Finite Element Method for Elliptic PDES of the form

 - mu div(grad(u)) + alpha u  = f   in  \Omega,             
              (u_x, u_y). n = u_N  on  \partial\Omega_N,   
                           u = u_D  on  \partial\Omega_D. 

Here, $\Omega$ is the domain of solution which is taken as the unit square (-1,1)^2. The boundaries, \partial \Omega_N is the Nuemann boundary, and \partial \Omega_D is the Dirichlet boundary.

The code is very user friendly. The parameters mu and alpha can be adjusted in the file user_interface.m

Change parameter 'N' to adjust the number of refinements.

The initial_mesh can be adjusted by changing the parameter 'mesh_np'.

The code can k^th degree polynomial FEM up to k = 5.