128 citations · 513 across the 59 of their papers we have counts for
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Mixed-Dimensional Auxiliary Space Preconditioners
Ana Budisa, Wietse Boon, Xiaozhe Hu
This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and gen…
Modifying AMG coarse spaces with weak approximation property to exhibit approximation in energy norm
Xiaozhe Hu, Panayot S. Vassilevski
Algebraic multigrid (AMG) coarse spaces are commonly constructed so that they exhibit the so-called weak approximation (WAP) property which is necessary and sufficient condition fo…
A Stabilized Hybrid Mixed Finite Element Method for Poroelasticity
Chunyan Niu, Hongxing Rui, Xiaozhe Hu
In this work, we consider a hybrid mixed finite element method for Biot's model. The hybrid P1-RT0-P0 discretization of the displacement-pressure-Darcy's velocity system of Biot's…
Block Preconditioners for Mixed-dimensional Discretization of Flow in Fractured Porous Media
Ana Budiša, Xiaozhe Hu
In this paper, we are interested in an efficient numerical method for the mixed-dimensional approach to modeling single-phase flow in fractured porous media. The model introduces f…
Robust preconditioners for a new stabilized discretization of the poroelastic equations
James H. Adler, Francisco J. Gaspar, Xiaozhe Hu +3
In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed in [45]. The discretization is proved to be well-posed with r…
A spatially adaptive high-order meshless method for fluid-structure interactions
Wei Hu, Nathaniel Trask, Xiaozhe Hu +1
We present a scheme implementing an a posteriori refinement strategy in the context of a high-order meshless method for problems involving point singularities and fluid-solid inter…