A splitting FEM for constrained viscosity solutions is claimed to be convergent and to serve as a blueprint for a curse-of-dimensionality-free neural operator, but key proof steps are unsubstantiated.
SIAM Journal on Optimization 30(1), 585–603 (2020)
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Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps
A splitting FEM for constrained viscosity solutions is claimed to be convergent and to serve as a blueprint for a curse-of-dimensionality-free neural operator, but key proof steps are unsubstantiated.