GPU Genetic Algorithm

[fender9723]

@ChrisRackauckas

What do you mean by this? Maybe we could incorporate it.

Maybe you missed the context of my application (I’ve edited the original post):

@fender9723

Context:
I’m currently working on a structural analysis project related to finite element analysis. My objective is to maximize the von Mises stress (or other stress measures like the failure index or maximum principal stress) in a structure by optimizing the scaling coefficients of unit loads applied to it.

Basically, I’m searching the worst load combination for each finite element in my model.

In my analysis, the von Mises stress is computed based on a linear combination of stresses resulting from unit loads on the structure. Each unit load contributes three stress components: sxx, syy, and sxy. By scaling the unit loads with certain coefficients, we can effectively scale the resulting stresses.

To tackle this optimization problem, I’ve reformulated the scaling coefficients into binary variables. These binary variables represent discrete values that the scaling coefficients can assume, simplifying the optimization process.

Imagine you have thousands of elements, and you want to find the worst load combination for each of them. Those are independent optimization problem.