1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
Characterizations of umbilical hypersurfaces by partially overdetermined problems in space forms
Yangsen Xie
In this paper, we characterize the rigidity of umbilical hypersurfaces by a Serrin-type partially overdetermined problem in space forms, which generalizes the similar results in Eu…
MGCNN: a learnable multigrid solver for sparse linear systems from PDEs on structured grids
Yan Xie, Minrui Lv, Chensong Zhang
This paper presents a learnable solver tailored to iteratively solve sparse linear systems from discretized partial differential equations (PDEs). Unlike traditional approaches rel…