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20232026
most citedMGCNN: a learnable multigrid solver for sparse linear systems from PDEs on structured grids

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math.NA2026

Uniform Inf-Sup Norm Equivalence and Robust Operator Preconditioning for Stokes Flow in tight domains with Periodic Pillars

Qi Xin, Yan Xie, Chen-song Zhang +2

Many microfluidic and porous-media computations reduce to the same core task: solving a Stokes saddle-point system on a domain perforated by a dense periodic array of pillars, as i…

math.NA2026

Massively parallel Schwarz methods for the high frequency Helmholtz equation

Yan Xie, Shihua Gong, Ivan G. Graham +2

We investigate the parallel one-level overlapping Schwarz method for solving finite element discretization of high-frequency Helmholtz equations. The resulting linear systems are l…