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Multiphysics coupling

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I am trying to solve a coupled model using the PDE Coefficient Form. The computational domain (x:0,RR) includes 3 subdomains . The mathematical model is comprised of Poisson and Helmholtz equations (ODEs). The dependent variables are the same for the whole computational domain, but each subdomain has ODE of different analytic structure. This makes the model a bit special – the dependent variables are the same for the entire computational domain, but the subdomain and boundary equations differ from one subdomain to another.
What solving strategy should fit this type of problem in order to generate the numerical solution?

The problem was solved using a simple 1D computational domain by the shooting method for numerically evaluating some unknown boundary values. Given that the shooting method is suitable only for 1D problems, what type of method should be used for 2D/3D computational domains?

Any advice or hints would be much appreciated.

0 Replies Last Post 12 gen 2015, 08:12 GMT-5
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