Xiaozhe Hu

Orcid: 0000-0001-7533-0416

According to our database1, Xiaozhe Hu authored at least 70 papers between 2006 and 2024.

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Bibliography

2024
Data-driven Whitney forms for structure-preserving control volume analysis.
J. Comput. Phys., January, 2024

Pressure-robust enriched Galerkin methods for the Stokes equations.
J. Comput. Appl. Math., January, 2024

Structure-preserving discretization of fractional vector calculus using discrete exterior calculus.
Comput. Math. Appl., January, 2024

Parameter-free preconditioning for nearly-incompressible linear elasticity.
Comput. Math. Appl., January, 2024

2023
HAZniCS - Software Components for Multiphysics Problems.
ACM Trans. Math. Softw., December, 2023

Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems.
SIAM J. Sci. Comput., December, 2023

Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity.
SIAM J. Sci. Comput., June, 2023

A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations.
SIAM J. Sci. Comput., June, 2023

A Local Fourier Analysis for Additive Schwarz Smoothers.
CoRR, 2023

Algebraic multigrid methods for metric-perturbed coupled problems.
CoRR, 2023

AmgR: Algebraic Multigrid Accelerated on ReRAM.
Proceedings of the 60th ACM/IEEE Design Automation Conference, 2023

2022
Enforcing exact physics in scientific machine learning: A data-driven exterior calculus on graphs.
J. Comput. Phys., 2022

A mesh-free method using piecewise deep neural network for elliptic interface problems.
J. Comput. Appl. Math., 2022

An efficient high-order numerical solver for diffusion equations with strong anisotropy.
Comput. Phys. Commun., 2022

A Deep Neural Network/Meshfree Method for Solving Dynamic Two-phase Interface Problems.
CoRR, 2022

Solving Graph Laplacians via Multilevel Sparsifiers.
CoRR, 2022

Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems.
CoRR, 2022

A Multigrid Preconditioner for Spatially Adaptive High-order Meshless Method on Fluid-solid Interaction Problems.
CoRR, 2022

An enriched Galerkin method for the Stokes equations.
Comput. Math. Appl., 2022

Rational Approximation Preconditioners for Multiphysics Problems.
Proceedings of the Numerical Methods and Applications - 10th International Conference, 2022

2021
Diffusion State Distances: Multitemporal Analysis, Fast Algorithms, and Applications to Biological Networks.
SIAM J. Math. Data Sci., 2021

A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians.
SIAM J. Sci. Comput., 2021

A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations.
SIAM J. Sci. Comput., 2021

Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap.
SIAM J. Appl. Math., 2021

An Enriched Galerkin Method for the Stokes Equations.
CoRR, 2021

Ladder Polynomial Neural Networks.
CoRR, 2021

Random-Walk Based Approximate k-Nearest Neighbors Algorithm for Diffusion State Distance.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

Greedy Fiedler Spectral Partitioning for Data-driven Discrete Exterior Calculus.
Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to, 2021

2020
Mixed-Dimensional Auxiliary Space Preconditioners.
SIAM J. Sci. Comput., 2020

Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations.
SIAM J. Sci. Comput., 2020

Convergence analysis of the Fast Subspace Descent method for convex optimization problems.
Math. Comput., 2020

Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation.
J. Comput. Phys., 2020

Momentum Accelerated Multigrid Methods.
CoRR, 2020

Well-posedness, discretization and preconditioners for a class of models for mixed-dimensional problems with high dimensional gap.
CoRR, 2020

Randomized Fast Subspace Descent Methods.
CoRR, 2020

Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation.
Comput. Math. Appl., 2020

2019
An Adaptive Multigrid Method Based on Path Cover.
SIAM J. Sci. Comput., 2019

Modifying AMG Coarse Spaces with Weak Approximation Property to Exhibit Approximation in Energy Norm.
SIAM J. Matrix Anal. Appl., 2019

A weak Galerkin finite element method for the Navier-Stokes equations.
J. Comput. Appl. Math., 2019

An a posteriori error estimator for the weak Galerkin least-squares finite-element method.
J. Comput. Appl. Math., 2019

A Stabilized Hybrid Mixed Finite Element Method for Poroelasticity.
CoRR, 2019

Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics.
Comput. Math. Appl., 2019

Common Randomized Shortest Paths (C-RSP): A Simple Yet Effective Framework for Multi-view Graph Embedding.
Proceedings of the IEEE International Conference on Acoustics, 2019

2018
Optimal Interpolation and Compatible Relaxation in Classical Algebraic Multigrid.
SIAM J. Sci. Comput., 2018

Newton Solvers for Drift-Diffusion and Electrokinetic Equations.
SIAM J. Sci. Comput., 2018

Computing the diffusion state distance on graphs via algebraic multigrid and random projections.
Numer. Linear Algebra Appl., 2018

A compatible high-order meshless method for the Stokes equations with applications to suspension flows.
J. Comput. Phys., 2018

Multi-View Graph Embedding Using Randomized Shortest Paths.
CoRR, 2018

Weak Galerkin method for the Biot's consolidation model.
Comput. Math. Appl., 2018

New Stabilized Discretizations for Poroelasticity Equations.
Proceedings of the Numerical Methods and Applications - 9th International Conference, 2018

2017
Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions.
SIAM J. Sci. Comput., 2017

A nonconforming finite element method for the Biot's consolidation model in poroelasticity.
J. Comput. Appl. Math., 2017

Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation.
Comput. Vis. Sci., 2017

A drift-diffusion solver using a finite-element method to analyze carrier dynamics at ultra-high solar concentrations.
Proceedings of the IEEE 60th International Midwest Symposium on Circuits and Systems, 2017

Algebraic Multigrid for Least Squares Problems on Graphs with Applications to HodgeRank.
Proceedings of the 2017 IEEE International Parallel and Distributed Processing Symposium Workshops, 2017

2016
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree.
Numer. Linear Algebra Appl., 2016

Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems.
J. Sci. Comput., 2016

Compact moving least squares: An optimization framework for generating high-order compact meshless discretizations.
J. Comput. Phys., 2016

Robust preconditioners for incompressible MHD models.
J. Comput. Phys., 2016

2015
Corrigendum to: "Acceleration of a two-grid method for eigenvalue problems".
Math. Comput., 2015

A finite element framework for some mimetic finite difference discretizations.
Comput. Math. Appl., 2015

2014
Two-Grid Methods for Maxwell Eigenvalue Problems.
SIAM J. Numer. Anal., 2014

On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems.
J. Sci. Comput., 2014

2013
A Parallel Auxiliary Grid Algebraic Multigrid Method for Graphic Processing Units.
SIAM J. Sci. Comput., 2013

Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid.
SIAM J. Numer. Anal., 2013

Combined Preconditioning with Applications in Reservoir Simulation.
Multiscale Model. Simul., 2013

2011
Acceleration of a two-grid method for eigenvalue problems.
Math. Comput., 2011

2007
The boundary penalty method for the diffusion equation subject to the specification of mass.
Appl. Math. Comput., 2007

2006
On the iterative algorithm for large sparse saddle point problems.
Appl. Math. Comput., 2006

Preconditioners for elliptic problems via non-uniform meshes.
Appl. Math. Comput., 2006


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