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Hello, I'm currently working on an optimization algorithm that identifies matching eigenvalues of a geometry

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Hello, I'm currently working on an optimization algorithm that identifies matching eigenvalues of a geometry. I have managed to get it to work with a simple geometry as input (a circle-to-square ratio) and it properly identifies two matching eigenvalues. The next step that I'm aiming for is to implement more complicated geometries and meshes in order to find 3 matching or closely matching eigenvalues, and thus buckling modes (eigenmodes). I have done considerable progress, yet lacking the expertise to identify the flaws in my code. I have created a separate file that successfully generates the geometries I need to implement in my optimization algorithm (using gmsh), but struggling to implement them properly in my code. Looking for an experienced Matlab programmer or anyone who has experience on the subject to look over the script with me.