Changes between Version 3 and Version 4 of u/erica/PoissonSolver

Timestamp:

08/19/13 12:28:31 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/PoissonSolver

@@ -14 +14 @@
 
 This equation needs to 1) be satisfied by all points within a bounding region and 2) satisfy the boundary conditions on that region. This then can be interpreted as an instantaneous constraint on the system, much different than the wave-like solutions of hyperbolic equations which travel with finite speed.
+
+Some special cases for elliptic equations are when [[latex($\kappa = 1$)]]. When f is non-zero, we have the Poisson equation, 
+
+[[latex($\triangledown ^2 u = f$)]]
+
+when f is zero, we have Laplace's equation, 
+
+[[latex($\triangledown ^2 u = 0$)]]
 
 = Equation Discretization =