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May 26, 2011 at 18:01 comment added Omega Centauri @Pat. Many time independent problems are solved by running a time simulation until equilibrium is reached, so it is perfectly acceptable to formulate/solve it as a time dependent problem.
May 26, 2011 at 14:06 comment added Patrick I edited my question to (hopefully) clarify what I'm asking. I expect to need to solve the problem numerically, but I'm not sure how to formulate the problem to do so. I realize the time term vanishes as t goes to infinity, but I would like to include it if possible.
May 26, 2011 at 4:31 comment added Omega Centauri Last time I had a 2D thermal problem, I wanted to match Greens functions on the various boundaries, but that is tricky (algebra and programming wise), i.e. the chance of a coding blunder was too great. Since modern computers are amazingly fast brute force machines successive relaxation on a grid is so trivial to program you almost can't mess it up, and solution time is quite minimal.
May 26, 2011 at 0:14 history answered Benjamin Horowitz CC BY-SA 3.0