works on
coarse-space correction 1deep operator networks 1neural operators 1partial differential equations 1two-level preconditioning 1

From the 1 of 1 linked paper with an AI index.

collaborators

1 paper

math.NA2026

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

Hugo Melchers, Victorita Dolean, Michael Abdelmalik

The paper investigates which neural operator architectures can replace the coarse solve in two‑level preconditioners for discretised linear PDEs, finding that the Neural Green's Op…