Exact point in convergence

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 April 4, 2012, 08:01 Exact point in convergence #1 New Member   Nithin Join Date: Apr 2012 Posts: 2 Rep Power: 0 Hello everyone, I have a basic doubt regarding the phenomenon of convergence. I have read that it is the process where a numerical solution starts approaching an definite point(exact solution). The difference between these represents the residuals but what exactly is that definite point? How is the solver finding that exact point for a given problem? Thanks in advance

April 4, 2012, 13:26
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 Originally Posted by Nithin Hello everyone, I have a basic doubt regarding the phenomenon of convergence. I have read that it is the process where a numerical solution starts approaching an definite point(exact solution). The difference between these represents the residuals but what exactly is that definite point? How is the solver finding that exact point for a given problem? Thanks in advance
I'm not professional but just a little explanation:
In CFD , for solving the partial differential equation of the phenomenon ,we discretize the equations and get some algebraic equations which can be solved by iterative methods.
these equations can be represented in a matrix equation like Ax=b.
So in each iteration we get the values for (x) .Then Putting these (x)s in the general equation like: r=Ax-b gives us the error which i think you asked about that.

I hope someone corrects my explanation if its not exactly correct.

 April 5, 2012, 01:26 #3 New Member   Nithin Join Date: Apr 2012 Posts: 2 Rep Power: 0 I guess what you are telling is right. Thank you

 Tags convergence, exact solution, residuals

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