Xiaozhe Hu

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 83

Top Topics

Boundary Conditions

Eigenvalue Problems

Top Venues

SIAM J. Sci. Comput.

Comput. Math. Appl.

J. Comput. Phys.

Publications

Jonas A. Actor, Xiaozhe Hu, Andy Huang, Scott A. Roberts, Nathaniel Trask
Data-driven Whitney forms for structure-preserving control volume analysis. J. Comput. Phys. 496 (2024)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems. SIAM J. Sci. Comput. 46 (3) (2024)
Álvaro Pé de la Riva, Carmen Rodrigo, Francisco José Gaspar, James H. Adler, Xiaozhe Hu, Ludmil T. Zikatanov
A local Fourier analysis for additive Schwarz smoothers. Comput. Math. Appl. 158 (2024)
Xiaozhe Hu, Seulip Lee, Lin Mu, Son-Young Yi
Pressure-robust enriched Galerkin methods for the Stokes equations. J. Comput. Appl. Math. 436 (2024)
David L. Green, Xiaozhe Hu, Jeremy Lore, Lin Mu, Mark L. Stowell
An Efficient High-Order Solver for Diffusion Equations with Strong Anisotropy on Non-Anisotropy-Aligned Meshes. SIAM J. Sci. Comput. 46 (2) (2024)
James H. Adler, Xiaozhe Hu, Yuwen Li, Ludmil T. Zikatanov
Parameter-free preconditioning for nearly-incompressible linear elasticity. Comput. Math. Appl. 154 (2024)
James H. Adler, Samuel Hocking, Xiaozhe Hu, Shafiqul Islam
Physics-informed nonlinear vector autoregressive models for the prediction of dynamical systems. CoRR (2024)
James H. Adler, Xiaozhe Hu, Xue Wang, Zhongqin Xue
Improving Greedy Algorithms for Rational Approximation. CoRR (2024)
Alon Jacobson, Xiaozhe Hu
Structure-preserving discretization of fractional vector calculus using discrete exterior calculus. Comput. Math. Appl. 153 (2024)
Kapil Devkota, Anselm Blumer, Xiaozhe Hu, Lenore Cowen
Fast Approximate IsoRank for Scalable Global Alignment of Biological Networks. RECOMB (2024)
Álvaro Pé de la Riva, Francisco José Gaspar, Xiaozhe Hu, James H. Adler, Carmen Rodrigo, Ludmil T. Zikatanov
Oscillation-free numerical schemes for Biot's model and their iterative coupling solution. CoRR (2024)
Xiaozhe Hu, Junyuan Lin
Solving Graph Laplacians via Multilevel Sparsifiers. SIAM J. Sci. Comput. 46 (2) (2024)
Mingjia Fan, Xiaotian Tian, Yintao He, Junxian Li, Yiru Duan, Xiaozhe Hu, Ying Wang, Zhou Jin, Weifeng Liu
AmgR: Algebraic Multigrid Accelerated on ReRAM. DAC (2023)
James H. Adler, Xiaozhe Hu, Yuwen Li, Ludmil T. Zikatanov
Parameter-free preconditioning for nearly-incompressible linear elasticity. CoRR (2023)
Xingwen Zhu, Xiaozhe Hu, Pengtao Sun
Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems. SIAM J. Sci. Comput. 45 (6) (2023)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
HAZniCS - Software Components for Multiphysics Problems. ACM Trans. Math. Softw. 49 (4) (2023)
James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Andy Huang, Nathaniel Trask
A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations. SIAM J. Sci. Comput. 45 (6) (2023)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil Tomov Zikatanov
Algebraic multigrid methods for metric-perturbed coupled problems. CoRR (2023)
Álvaro Pé de la Riva, Carmen Rodrigo, Francisco J. Gaspar, James H. Adler, Xiaozhe Hu, Ludmil T. Zikatanov
A Local Fourier Analysis for Additive Schwarz Smoothers. CoRR (2023)
James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Andy Huang, Nathaniel Trask
A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations. SIAM J. Sci. Comput. 45 (3) (2023)
James H. Adler, Yunhui He, Xiaozhe Hu, Scott P. MacLachlan, Peter Ohm
Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity. SIAM J. Sci. Comput. 45 (3) (2023)
Son-Young Yi, Xiaozhe Hu, Sanghyun Lee, James H. Adler
An enriched Galerkin method for the Stokes equations. Comput. Math. Appl. 120 (2022)
Xiaozhe Hu, Seulip Lee, Lin Mu, Son-Young Yi
Pressure-robust enriched Galerkin methods for the Stokes equations. CoRR (2022)
David L. Green, Xiaozhe Hu, Jeremy Lore, Lin Mu, Mark L. Stowell
An efficient high-order numerical solver for diffusion equations with strong anisotropy. Comput. Phys. Commun. 276 (2022)
Alon Jacobson, Xiaozhe Hu
Structure-Preserving Discretization of Fractional Vector Calculus using Discrete Exterior Calculus. CoRR (2022)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
Rational approximation preconditioners for multiphysics problems. CoRR (2022)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
HAZniCS - Software Components for Multiphysics Problems. CoRR (2022)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
Rational Approximation Preconditioners for Multiphysics Problems. NMA (2022)
Xiaozhe Hu, Eirik Keilegavlen, Jan M. Nordbotten
Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems. CoRR (2022)
Xingwen Zhu, Xiaozhe Hu, Pengtao Sun
A Deep Neural Network/Meshfree Method for Solving Dynamic Two-phase Interface Problems. CoRR (2022)
Xiaozhe Hu, Junyuan Lin
Solving Graph Laplacians via Multilevel Sparsifiers. CoRR (2022)
James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Andy Huang, Nathaniel Trask
A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations. CoRR (2022)
Cuiyu He, Xiaozhe Hu, Lin Mu
A mesh-free method using piecewise deep neural network for elliptic interface problems. J. Comput. Appl. Math. 412 (2022)
Nathaniel Trask, Andy Huang, Xiaozhe Hu
Enforcing exact physics in scientific machine learning: A data-driven exterior calculus on graphs. J. Comput. Phys. 456 (2022)
Zisheng Ye, Xiaozhe Hu, Wenxiao Pan
A Multigrid Preconditioner for Spatially Adaptive High-order Meshless Method on Fluid-solid Interaction Problems. CoRR (2022)
David L. Green, Xiaozhe Hu, Jeremy Lore, Lin Mu, Mark L. Stowell
An Efficient High-order Numerical Solver for Diffusion Equations with Strong Anisotropy. CoRR (2021)
Lenore J. Cowen, Xiaozhe Hu, Junyuan Lin, Yue Shen, Kaiyi Wu
Random-Walk Based Approximate k-Nearest Neighbors Algorithm for Diffusion State Distance. LSSC (2021)
Son-Young Yi, Xiaozhe Hu, Sanghyun Lee, James H. Adler, Ludmil T. Zikatanov
An Enriched Galerkin Method for the Stokes Equations. CoRR (2021)
Xiaozhe Hu, Kaiyi Wu, Ludmil T. Zikatanov
A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians. SIAM J. Sci. Comput. 43 (5) (2021)
Erlend Hodneland, Xiaozhe Hu, Jan M. Nordbotten
Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap. SIAM J. Appl. Math. 81 (5) (2021)
James H. Adler, Yunhui He, Xiaozhe Hu, Scott MacLachlan, Peter Ohm
Monolithic multigrid for a reduced-quadrature discretization of poroelasticity. CoRR (2021)
Lenore Cowen, Kapil Devkota, Xiaozhe Hu, James M. Murphy, Kaiyi Wu
Diffusion State Distances: Multitemporal Analysis, Fast Algorithms, and Applications to Biological Networks. SIAM J. Math. Data Sci. 3 (1) (2021)
Li-Ping Liu, Ruiyuan Gu, Xiaozhe Hu
Ladder Polynomial Neural Networks. CoRR (2021)
James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Ludmil T. Zikatanov
A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations. SIAM J. Sci. Comput. 43 (4) (2021)
Andy Huang, Nathaniel Trask, Christopher Brissette, Xiaozhe Hu
Greedy Fiedler Spectral Partitioning for Data-driven Discrete Exterior Calculus. AAAI Spring Symposium: MLPS (2021)
Xiaozhe Hu, Kaiyi Wu, Ludmil T. Zikatanov
A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians. CoRR (2020)
Erlend Hodneland, Xiaozhe Hu, Jan Martin Nordbotten
Well-posedness, discretization and preconditioners for a class of models for mixed-dimensional problems with high dimensional gap. CoRR (2020)
J. H. Adler, Francisco José Gaspar, Xiaozhe Hu, Peter Ohm, Carmen Rodrigo, Ludmil T. Zikatanov
Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations. SIAM J. Sci. Comput. 42 (3) (2020)
Cuiyu He, Xiaozhe Hu, Lin Mu
A Mesh-free Method Using Piecewise Deep Neural Network for Elliptic Interface Problems. CoRR (2020)
James H. Adler, Casey Cavanaugh, Xiaozhe Hu, Ludmil T. Zikatanov
A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations. CoRR (2020)
Lenore Cowen, Kapil Devkota, Xiaozhe Hu, James M. Murphy, Kaiyi Wu
Diffusion State Distances: Multitemporal Analysis, Fast Algorithms, and Applications to Biological Networks. CoRR (2020)
Nathaniel Trask, Andy Huang, Xiaozhe Hu
Enforcing exact physics in scientific machine learning: a data-driven exterior calculus on graphs. CoRR (2020)
Ana Budisa, Wietse M. Boon, Xiaozhe Hu
Mixed-Dimensional Auxiliary Space Preconditioners. SIAM J. Sci. Comput. 42 (5) (2020)
Long Chen, Xiaozhe Hu, Huiwen Wu
Randomized Fast Subspace Descent Methods. CoRR (2020)
Xiaozhe Hu, Carmen Rodrigo, Francisco José Gaspar
Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation. J. Comput. Phys. 416 (2020)
Juan Batista, Xiaozhe Hu, Ludmil T. Zikatanov
Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation. Comput. Math. Appl. 80 (2) (2020)
Long Chen, Xiaozhe Hu, Steven M. Wise
Convergence analysis of the Fast Subspace Descent method for convex optimization problems. Math. Comput. 89 (325) (2020)
Chunyan Niu, Xiaozhe Hu
Momentum Accelerated Multigrid Methods. CoRR (2020)
James H. Adler, Xiaozhe Hu, Lin Mu, Xiu Ye
An a posteriori error estimator for the weak Galerkin least-squares finite-element method. J. Comput. Appl. Math. 362 (2019)
Xiaozhe Hu, Junyuan Lin, Ludmil T. Zikatanov
An Adaptive Multigrid Method Based on Path Cover. SIAM J. Sci. Comput. 41 (5) (2019)
Xiaozhe Hu, Panayot S. Vassilevski
Modifying AMG Coarse Spaces with Weak Approximation Property to Exhibit Approximation in Energy Norm. SIAM J. Matrix Anal. Appl. 40 (3) (2019)
Ana Budisa, Wietse M. Boon, Xiaozhe Hu
Mixed-Dimensional Auxiliary Space Preconditioners. CoRR (2019)
James H. Adler, Yunhui He, Xiaozhe Hu, Scott P. MacLachlan
Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics. Comput. Math. Appl. 77 (2) (2019)
Chunyan Niu, Hongxing Rui, Xiaozhe Hu
A Stabilized Hybrid Mixed Finite Element Method for Poroelasticity. CoRR (2019)
Xiaozhe Hu, Lin Mu, Xiu Ye
A weak Galerkin finite element method for the Navier-Stokes equations. J. Comput. Appl. Math. 362 (2019)
Xiaozhe Hu, Panayot S. Vassilevski
Modifying AMG coarse spaces with weak approximation property to exhibit approximation in energy norm. CoRR (2019)
Anuththari Gamage, Brian Rappaport, Shuchin Aeron, Xiaozhe Hu
Common Randomized Shortest Paths (C-RSP): A Simple Yet Effective Framework for Multi-view Graph Embedding. ICASSP (2019)
Arthur Bousquet, Xiaozhe Hu, Maximilian S. Metti, Jinchao Xu
Newton Solvers for Drift-Diffusion and Electrokinetic Equations. SIAM J. Sci. Comput. 40 (3) (2018)
Francisco José Gaspar, Carmen Rodrigo, Xiaozhe Hu, Peter Ohm, James H. Adler, Ludmil T. Zikatanov
New Stabilized Discretizations for Poroelasticity Equations. NMA (2018)
Junyuan Lin, Lenore J. Cowen, Benjamin J. Hescott, Xiaozhe Hu
Computing the diffusion state distance on graphs via algebraic multigrid and random projections. Numer. Linear Algebra Appl. 25 (3) (2018)
James J. Brannick, Fei Cao, Karsten Kahl, Robert D. Falgout, Xiaozhe Hu
Optimal Interpolation and Compatible Relaxation in Classical Algebraic Multigrid. SIAM J. Sci. Comput. 40 (3) (2018)
Xiaozhe Hu, Lin Mu, Xiu Ye
Weak Galerkin method for the Biot's consolidation model. Comput. Math. Appl. 75 (6) (2018)
Anuththari Gamage, Brian Rappaport, Shuchin Aeron, Xiaozhe Hu
Multi-View Graph Embedding Using Randomized Shortest Paths. CoRR (2018)
Nathaniel Trask, Martin R. Maxey, Xiaozhe Hu
A compatible high-order meshless method for the Stokes equations with applications to suspension flows. J. Comput. Phys. 355 (2018)
Zheng Li, Shuhong Wu, Chen-Song Zhang, Jinchao Xu, Chunsheng Feng, Xiaozhe Hu
Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation. Comput. Vis. Sci. 18 (2-3) (2017)
J. H. Adler, Xiaozhe Hu, Ludmil T. Zikatanov
Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions. SIAM J. Sci. Comput. 39 (5) (2017)
Xiaozhe Hu, Carmen Rodrigo, Francisco José Gaspar, Ludmil T. Zikatanov
A nonconforming finite element method for the Biot's consolidation model in poroelasticity. J. Comput. Appl. Math. 310 (2017)
Charles Colley, Junyuan Lin, Xiaozhe Hu, Shuchin Aeron
Algebraic Multigrid for Least Squares Problems on Graphs with Applications to HodgeRank. IPDPS Workshops (2017)
Emily S. Carlson, Margaret Stevens, David Emerson, Xiaozhe Hu, James H. Adler, Thomas E. Vandervelde
A drift-diffusion solver using a finite-element method to analyze carrier dynamics at ultra-high solar concentrations. MWSCAS (2017)
Bin Zheng, Luoping Chen, Xiaozhe Hu, Long Chen, Ricardo H. Nochetto, Jinchao Xu
Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems. J. Sci. Comput. 69 (1) (2016)
Yicong Ma, Kaibo Hu, Xiaozhe Hu, Jinchao Xu
Robust preconditioners for incompressible MHD models. J. Comput. Phys. 316 (2016)
Nathaniel Trask, Martin R. Maxey, Xiaozhe Hu
Compact moving least squares: An optimization framework for generating high-order compact meshless discretizations. J. Comput. Phys. 326 (2016)
Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. Numer. Linear Algebra Appl. 23 (4) (2016)
Carmen Rodrigo, Francisco José Gaspar, Xiaozhe Hu, Ludmil T. Zikatanov
A finite element framework for some mimetic finite difference discretizations. Comput. Math. Appl. 70 (11) (2015)
Xiaozhe Hu, Xiaoliang Cheng
Corrigendum to: "Acceleration of a two-grid method for eigenvalue problems". Math. Comput. 84 (296) (2015)
Xiaozhe Hu, Young-Ju Lee, Jinchao Xu, Chen-Song Zhang
On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems. J. Sci. Comput. 58 (1) (2014)
Lu Wang, Xiaozhe Hu, Jonathan Cohen, Jinchao Xu
A Parallel Auxiliary Grid Algebraic Multigrid Method for Graphic Processing Units. SIAM J. Sci. Comput. 35 (3) (2013)
Xiaozhe Hu, Shuhong Wu, Xiao-hui Wu, Jinchao Xu, Chen-Song Zhang, Shiquan Zhang, Ludmil T. Zikatanov
Combined Preconditioning with Applications in Reservoir Simulation. Multiscale Model. Simul. 11 (2) (2013)
Xiaozhe Hu, Panayot S. Vassilevski, Jinchao Xu
Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid. SIAM J. Numer. Anal. 51 (2) (2013)
Xiaozhe Hu, Xiaoliang Cheng
Acceleration of a two-grid method for eigenvalue problems. Math. Comput. 80 (275) (2011)
Xiaozhe Hu, Lingxiao Zhao, Abdul Wasim Shaikh
The boundary penalty method for the diffusion equation subject to the specification of mass. Appl. Math. Comput. 186 (1) (2007)
Xiaofeng Ling, Xiaozhe Hu
On the iterative algorithm for large sparse saddle point problems. Appl. Math. Comput. 178 (2) (2006)
Xiaozhe Hu, Xiaofeng Ling
Preconditioners for elliptic problems via non-uniform meshes. Appl. Math. Comput. 181 (2) (2006)