Changes between Version 8 and Version 9 of u/erica/PoissonSolver

Timestamp:

08/19/13 12:40:34 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/PoissonSolver

@@ -5 +5 @@
 Elliptic equations can be thought of as being the steady state limit of the diffusion equation,
 
-[[latex($u_t = (\kappa u_x)_x + (\kappa u_y)_y + f$)]]
+[[latex($u_t = (\kappa u_x)_x + (\kappa u_y)_y + \psi$)]]
 
-when both the boundary conditions and the source (or "forcing") term  are time in-dependent. Under these conditions, it can be expected that the time dependent terms vanish as the system relaxes to steady state (in the limit [[latex($t \rightarrow \infty, \partial t \rightarrow 0$)]]), and we are led to the elliptic equation (here in 2D),
+when both the boundary conditions and the source (or "forcing") term  are time in-dependent. Under these conditions, it can be expected that the time dependent terms vanish as the system relaxes to steady state (i.e. in the limit [[latex($t \rightarrow \infty, \partial t \rightarrow 0$)]]), and we are led to the elliptic equation (here in 2D),
 
 [[latex($(\kappa u_x)_x + (\kappa u_y)_y = f $)]]