This demonstration shows a combination of:
1) Finite element analysis (FEA) of solid body heat transfer with non-linear material properties
2) Optimisation of an output of the FEA
specifically related to a real world problem. We walk through the general process, which is:
1) Generate a representative FEA solver wrapped into a function
2) Use Surrogate Optimisation to find a close, but fast, approximation of the global optimum
3) Deploy a local solver based on the output of the Surrogate Optimisation to polish and find the global optimum
We will look at the case of a current carrying conductor that is buried underground. In this case we want to maximise the current that can be carried subject to the insulator staying below a fixed temperature.
Peter Brady (2023). pde-optimisation (https://github.com/mathworks/pde-optimisation/releases/tag/V1.4.0), GitHub. Retrieved .
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See release notes for this release on GitHub: https://github.com/mathworks/pde-optimisation/releases/tag/V1.4.0
See release notes for this release on GitHub: https://github.com/mathworks/pde-optimisation/releases/tag/V1.3.0
See release notes for this release on GitHub: https://github.com/mathworks/pde-optimisation/releases/tag/V1.2.0
See release notes for this release on GitHub: https://github.com/mathworks/pde-optimisation/releases/tag/v1.1.0