1D COMSOL Domain Implementation

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The discussion focuses on implementing a 1D COMSOL model with multiple subdomains, each requiring different sets of equations and boundary conditions. The user is facing challenges due to the coupling of equations across three subdomains, with the first and third having three equations each and the middle one having seven. They are exploring options for overlapping subdomains or separate models for each subdomain to avoid singular matrices during finite element assembly. The user is currently using a stationary PDE model and has devised a potential solution by activating separate PDE models for each subdomain. They plan to test this approach to evaluate the results.
womfalcs3
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Hello,

This is the first time I'm using COMSOL on a problem where I have multiple subdomains within the domain. Previously, I have only been using one domain/one set of equations/Two global sets of BC's.

I've been having a hard time thinking of a solution to my problem.

I have 3 subdomains, and all have their own set of ODE's and BC's. (They're really PDE's, but I'm going to assume stead-state for the time-being until I get it to work. I want to see the steady state solutions anyway as well.)

The problem comes in that in the first and third subdomains, I have 3 equations each to solve. In the middle subdomain, I have 7 equations to solve.

They are all heavily coupled, but the system is homogeneous and linear. So I have a total of 13 dependent variables.

Is there a way to either:

- Use overlapping subdomains so that I can have 3 subdomains in the middle rather than just one?
- Have the first and third subdomains have a model for 3 equations each, and the middle one have a model for 7 equations?

Because I can't do all 13 at once, as that gives me singular matrices during the finite element assembly.



I am currently using a 1D PDE stationary model in the coefficient form with all the transient term coefficients set to 0 for the time being.
 
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I think I may have figured it out. I'll use it and see how the results go.

I'm trying to have 3 separate PDE models, and activating each one in one of the subdomains.
 
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