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Topology optimization

Submitted by Nestor Rueda Vallejo on

I'm asking the group about the current and future challenges in topology optimization either from the theoretical point of view as well as the industrial or practical point of view. I think Homogenization is the current de-facto method for practical optimization and I can detect some tendencies like level set methods, mesh less methods, etc at the research level.

What do you think about which is the "predominant" current wave and which will be next wave in topology optimization in the above two fields (theoretical and practical).