I have programmed 2D magnetotelluric forward modeling using both finite difference and finite element method . i want efficiency analysis of these pregame. What is the best way to do this ?
.First of all modify your programs ( or take data from some published work) for the analytical solution and compare Analytical, FDM and FEM solutions.
. Using that analytical solution, compute RMS error or Maximum error for different degrees of freedom( no. of nodes in the domain) and plot a comparative study on a log log scale.
I think there are not considerable differences between two methods Finite Difference Method and Finite Element Methods , for the same nets of points in case of the 2D geometry. The differences are considerable in the case of 3D geometries. In the last case with the FEM methods, you will receive more accurate results.
I concur with both previous responses. If your programs are operative on Windows, and you would share them, I would be glad to assist you in computing the comparisons. You can contact me at [email protected]