Changes between Version 28 and Version 29 of u/erica/PoissonSolver

Timestamp:

08/19/13 14:39:41 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/PoissonSolver

@@ -99 +99 @@
 = The code = 
 
-Here is an html copy of my code - 
+Here is an html copy of my [code] and [problem.data]. 
 
 = Tests and Results = 
 
+I followed the suggested exercises [http://www.rsmas.miami.edu/personal/miskandarani/Courses/MSC321/Projects/prjpoisson.pdf here] for the 1D problem. 
+
 == Test 1 - Laplace's Equation ==
+
+This was just a basic test of the ability of the solver to converge to the correct solution. Given Laplace's equation in 1D is very easy to solve by hand, I could verify the code's ability to reproduce the analytical result. This it did well:
 
 == Test 2 - Poisson's Equation with simple forcing ==
 
-== Test 3 - Poisson's Equation with complicated forcing == 
+To test the code with a non-zero forcing function, I used the forcing function, f=6x
 
-Properties - aka only an approximate solution now (?). Verify 2nd order (how?)
+This also has a closed-form solution which I then used to check the code. It performed correctly:
 
-Cite References
+
+
+== Test 3 - Poisson's Equation with complicated forcing ==
+
+Lastly, I used a more complicated forcing function (refer to the reference). It also performed well. 
+
+= Questions = 
+
+1. Properties - aka only an approximate solution now (?). 
+2. Verify 2nd order by the error (how?)
+3. How to specify von Neumann conditions numerically?
 
 = References =