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When can a neural operator replace a coarse solve? Architectural principles for two-level preconditioning

arXiv:2605.19867v2 Announce Type: replace Abstract: Neural operators are increasingly used as accelerators inside classical numerical methods, but it is rarely clear which architectural ingredients matter for which application. We answer this question for one important use case: the coarse-space correction inside a two-level preconditioner for discretised linear partial differential equations.

arXiv CS 2d ago