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DeepONet based preconditioning strategies for solving parametric linear systems of equations

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

Hybrid Fourier Neural Operator-Lattice Boltzmann Method

physics.flu-dyn · 2026-04-29 · unverdicted · novelty 7.0

Hybrid FNO-LBM accelerates porous media flow convergence by up to 70% via neural initialization and stabilizes unsteady simulations through embedded FNO rollouts, allowing small models to match larger ones in accuracy.

NSPOD: Accelerating Krylov solvers via DeepONet-learned POD subspaces

math.NA · 2026-05-08 · unverdicted · novelty 6.0 · 2 refs

NSPOD is a multigrid-like preconditioner using DeepONet-learned POD subspaces that dramatically cuts Krylov solver iterations for solid mechanics PDEs on unstructured CAD geometries, outperforming algebraic multigrid.

citing papers explorer

Showing 2 of 2 citing papers.

  • Hybrid Fourier Neural Operator-Lattice Boltzmann Method physics.flu-dyn · 2026-04-29 · unverdicted · none · ref 26

    Hybrid FNO-LBM accelerates porous media flow convergence by up to 70% via neural initialization and stabilizes unsteady simulations through embedded FNO rollouts, allowing small models to match larger ones in accuracy.

  • NSPOD: Accelerating Krylov solvers via DeepONet-learned POD subspaces math.NA · 2026-05-08 · unverdicted · none · ref 18 · 2 links

    NSPOD is a multigrid-like preconditioner using DeepONet-learned POD subspaces that dramatically cuts Krylov solver iterations for solid mechanics PDEs on unstructured CAD geometries, outperforming algebraic multigrid.