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Re:Eighty Years of the Finite Element Method (2022) by catgary on Saturday November 02, 2024 @05:21PM (#42029298)
I kind of thought Neural Operators were slotting into the some problem domains where FEM is used (based on recent work in weather modelling, cloth modelling, etc) and thought there was some sort of FEM -> NO lineage. Did I completely misunderstand that whole thing?
Re:Eighty Years of the Finite Element Method (2022) by angry_moose on Saturday November 02, 2024 @05:43PM (#42029424)
Those are definitely up next in the flashy-new-thing pipeline and I'm not that up to speed on them yet.

Another group within my company is evaluating them right now and the early results seems to be "not very accurate, but directionally correct and very fast" so there may be some value in non-FEM experts using them to quickly tell if A or B is a better design; but will still need a more proper analysis in more accurate tools.

It's still early though and we're just starting to see the first non-research solvers hitting the market.

Re:Eighty Years of the Finite Element Method (2022) by kk58 on Sunday November 03, 2024 @12:29PM (#42034481)
Very curious, we are getting good results with PiNN and operators, what's your domain?
Re:Eighty Years of the Finite Element Method (2022) by amelius on Saturday November 02, 2024 @06:13PM (#42029586)
I was under the impression that the linear systems that come out of FEM methods are in some cases being solved by neural networks (or partially, e.g. as a preconditioner in an iterative scheme), but I don't know the details.