spreadsheet or word document, investigate the following meshes:
nx = 10, ny = 10
nx = 20, ny = 20
nx = 40, ny = 40
nx = 80, ny = 80
nx = 160, ny = 160
For both the Point-Jacobi and Gauss-Seidel approaches, highlight the amount of time
and number of iterations it takes to achieve convergence. What trend is observed
with the increasing number of cells? Can a relationship between cells and iterations
to convergence be observed from the data?
Furthermore, using a tolerance of Tol. = 10^-6, providing evidence of your approach
in a spreadsheet or word document, investigate the following meshes:
nx = 8, ny = 10
nx = 10, ny = 80
nx = 16, ny = 50
nx = 20, ny = 40
nx = 25, ny = 32
For both the Point-Jacobi and Gauss-Seidel approaches, highlight the amount of time
and number of iterations it takes to achieve convergence for each mesh. What is
being varied for each mesh? What conclusions can be drawn?