Did you know that it is easy to set up certain kinds of inverse problems in COMSOL real quick with the aid of the Global Equations feature? Imagine this: instead of asking “how hot will the house get if I fire the boiler with three logs per hour”, you ask “I want the living room to be 72 °F, how many logs per hour should I feed the boiler with?”.
If you set up a heat transfer PDE problem, you can add an additional equation and a degree of freedom that specifies the extra condition on the temperature. Let’s call it a
For more advanced inverse modeling, like materials selection and regularization, you may need optimization algorithms. More of that will be covered further down the road in this blog.
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