Changes between Version 7 and Version 8 of u/erica/PoissonSolver


Ignore:
Timestamp:
08/19/13 12:38:47 (11 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/PoissonSolver

    v7 v8  
    77[[latex($u_t = (\kappa u_x)_x + (\kappa u_y)_y + f$)]]
    88
    9 when both the boundary conditions and the source (or "forcing") term  are time in-dependent. Under these conditions, the time dependent terms vanish as the system relaxes to steady state (in the limit t [[latex($\rightarrow \infty$)]]), and we are led to the elliptic equation (here in 2D),
     9when 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),
    1010
    1111[[latex($(\kappa u_x)_x + (\kappa u_y)_y = f $)]]