Changes between Version 1 and Version 2 of u/erica/PoissonSolver

Timestamp:

08/19/13 11:56:24 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/PoissonSolver

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+[[PageOutline]]
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 = Equation Discretization = 
 
@@ -15 +18 @@
 Error, accuracy, convergence
 
-= Laplace Equation, source term = 0 =
+= Laplace Equation (source term = 0) Physical Meaning =
 
 Note that the discretization equation with f=0 describes each point as being the average of its neighbors. This is in fact one of the key properties of the harmonic functions, which are the class of solution to the Laplace Equation. Since this is such an ubiquitious equation in physics, and a subset of the Poisson equation, I felt it was important to review some of the properties behind it. 
@@ -23 +26 @@
 - Physical interprestaion - no charge within the domain, but elsewhere. 
 
+= Poisson Equation Physical Meaning = 
+
+While the interpreation of the solution propertoies are not as clear cut and intuitive as Laplace, the solution can be thoguht of as composing green's functions (cite references). 
 
 
+= The code = 
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+Explain what my thing does, post it for download
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+= Tests and Results = 
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+== Test 1 - Laplace's Equation ==
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+== Test 2 - Poisson's Equation with simple forcing ==
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+== Test 3 - Poisson's Equation with complicated forcing == 
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+Properties - aka only an approximate solution now (?). Verify 2nd order (how?)
+
+Cite References
 
 = References =