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How does homotopy operator work in detail?
How does homotopy operator work in detail?
Hello,
i want to solve a system of nonlinear equations during the initialization phase of a dynamic simulation problem in Dymola.Therefore I am using homotopy.
The general structure looks like this: z = homotopy(actual = z_0 , simpliefied = z_ref). I am not sure, if i completely understand how it works.
First i tried to use it in an initial equation, but it doesn't work really good.
So i have two questions:
1) if i use it as a normal equation instead of initial equation, does the homotopy interate the dynamic state of the system the hole time or just at the beginning?
2) On wich state should i refer the other variables at the initialization? On the simpliefied or the actual state?
Thanks for your support
Steffen
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