128 citations · 513 across the 59 of their papers we have counts for
5 papers · 2 filters
A compatible high-order meshless method for the Stokes equations with applications to suspension flows
Nathaniel Trask, Martin Maxey, Xiaozhe Hu
A stable numerical solution of the steady Stokes problem requires compatibility between the choice of velocity and pressure approximation that has traditionally proven problematic…
On the Approximation of Laplacian Eigenvalues in Graph Disaggregation
Xiaozhe Hu, John C. Urschel, Ludmil T. Zikatanov
Graph disaggregation is a technique used to address the high cost of computation for power law graphs on parallel processors. The few high-degree vertices are broken into multiple…
Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions
James H. Adler, Xiaozhe Hu, Ludmil T. Zikatanov
In this paper, we design robust and efficient linear solvers for the numerical approximation of solutions to Maxwell's equations with dissipative boundary conditions. We consider a…
Adaptive Finite Element Method for fractional differential equations using Hierarchical Matrices
Xuan Zhao, Xiaozhe Hu, Wei Cai +1
A robust and fast solver for the fractional differential equation (FDEs) involving the Riesz fractional derivative is developed using an adaptive finite element method on non-unifo…
A Nonconforming Finite Element Method for the Biot's Consolidation Model in Poroelasticity
Xiaozhe Hu, Carmen Rodrigo, Francisco J. Gaspar +1
A stable finite element scheme that avoids pressure oscillations for a three-field Biot's model in poroelasticity is considered. The involved variables are the displacements, fluid…