Preconditioners for elliptic problems via non-uniform meshes. - Xiaozhe Hu; Xiaofeng Ling (Appl. Math. Comput., 2006)

On the iterative algorithm for large sparse saddle point problems. - Xiaofeng Ling; Xiaozhe Hu (Appl. Math. Comput., 2006)

The boundary penalty method for the diffusion equation subject to the specification of mass. - Xiaozhe Hu; Lingxiao Zhao; Abdul Wasim Shaikh (Appl. Math. Comput., 2007)

Acceleration of a two-grid method for eigenvalue problems. - Xiaozhe Hu; Xiaoliang Cheng (Math. Comput., 2011)

Combined Preconditioning with Applications in Reservoir Simulation. - Xiaozhe Hu; Shuhong Wu; Xiao-hui Wu; Jinchao Xu; Chen-Song Zhang; Shiquan Zhang; Ludmil T. Zikatanov (Multiscale Model. Simul., 2013)

Comparative Convergence Analysis of Nonlinear AMLI-Cycle Multigrid. - Xiaozhe Hu; Panayot S. Vassilevski; Jinchao Xu (SIAM J. Numer. Anal., 2013)

A Parallel Auxiliary Grid Algebraic Multigrid Method for Graphic Processing Units. - Lu Wang; Xiaozhe Hu; Jonathan Cohen; Jinchao Xu (SIAM J. Sci. Comput., 2013)

On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems. - Xiaozhe Hu; Young-Ju Lee; Jinchao Xu; Chen-Song Zhang (J. Sci. Comput., 2014)

Two-Grid Methods for Maxwell Eigenvalue Problems. - Jie Zhou; Xiaozhe Hu; Liuqiang Zhong; Shi Shu; Long Chen 002 (SIAM J. Numer. Anal., 2014)

A finite element framework for some mimetic finite difference discretizations. - Carmen Rodrigo; Francisco José Gaspar; Xiaozhe Hu; Ludmil T. Zikatanov (Comput. Math. Appl., 2015)

Corrigendum to: "Acceleration of a two-grid method for eigenvalue problems". - Xiaozhe Hu; Xiaoliang Cheng (Math. Comput., 2015)

Robust preconditioners for incompressible MHD models. - Yicong Ma; Kaibo Hu; Xiaozhe Hu; Jinchao Xu (J. Comput. Phys., 2016)

Compact moving least squares: An optimization framework for generating high-order compact meshless discretizations. - Nathaniel Trask; Martin R. Maxey; Xiaozhe Hu (J. Comput. Phys., 2016)

Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems. - Bin Zheng; Luoping Chen; Xiaozhe Hu; Long Chen 002; Ricardo H. Nochetto; Jinchao Xu (J. Sci. Comput., 2016)

A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. - Xiaozhe Hu; Panayot S. Vassilevski; Jinchao Xu (Numer. Linear Algebra Appl., 2016)

Algebraic Multigrid for Least Squares Problems on Graphs with Applications to HodgeRank. - Charles Colley; Junyuan Lin; Xiaozhe Hu; Shuchin Aeron (IPDPS Workshops, 2017)

A drift-diffusion solver using a finite-element method to analyze carrier dynamics at ultra-high solar concentrations. - Emily S. Carlson; Margaret Stevens; David B. Emerson; Xiaozhe Hu; James H. Adler; Thomas E. Vandervelde (MWSCAS, 2017)

Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation. - Zheng Li; Shuhong Wu; Chen-Song Zhang; Jinchao Xu; Chunsheng Feng; Xiaozhe Hu (Comput. Vis. Sci., 2017)

A nonconforming finite element method for the Biot's consolidation model in poroelasticity. - Xiaozhe Hu; Carmen Rodrigo; Francisco José Gaspar; Ludmil T. Zikatanov (J. Comput. Appl. Math., 2017)

Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions. - J. H. Adler; Xiaozhe Hu; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2017)

New Stabilized Discretizations for Poroelasticity Equations. - Francisco José Gaspar; Carmen Rodrigo; Xiaozhe Hu; Peter Ohm; James H. Adler; Ludmil T. Zikatanov (NMA, 2018)

Weak Galerkin method for the Biot's consolidation model. - Xiaozhe Hu; Lin Mu; Xiu Ye (Comput. Math. Appl., 2018)

Multi-View Graph Embedding Using Randomized Shortest Paths. - Anuththari Gamage; Brian Rappaport; Shuchin Aeron; Xiaozhe Hu (CoRR, 2018)

A compatible high-order meshless method for the Stokes equations with applications to suspension flows. - Nathaniel Trask; Martin R. Maxey; Xiaozhe Hu (J. Comput. Phys., 2018)

Computing the diffusion state distance on graphs via algebraic multigrid and random projections. - Junyuan Lin; Lenore J. Cowen; Benjamin J. Hescott; Xiaozhe Hu (Numer. Linear Algebra Appl., 2018)

Newton Solvers for Drift-Diffusion and Electrokinetic Equations. - Arthur Bousquet; Xiaozhe Hu; Maximilian S. Metti; Jinchao Xu (SIAM J. Sci. Comput., 2018)

Optimal Interpolation and Compatible Relaxation in Classical Algebraic Multigrid. - James J. Brannick; Fei Cao; Karsten Kahl; Robert D. Falgout; Xiaozhe Hu (SIAM J. Sci. Comput., 2018)

Common Randomized Shortest Paths (C-RSP): A Simple Yet Effective Framework for Multi-view Graph Embedding. - Anuththari Gamage; Brian Rappaport; Shuchin Aeron; Xiaozhe Hu (ICASSP, 2019)

Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics. - James H. Adler; Yunhui He; Xiaozhe Hu; Scott P. MacLachlan (Comput. Math. Appl., 2019)

A Stabilized Hybrid Mixed Finite Element Method for Poroelasticity. - Chunyan Niu; Hongxing Rui; Xiaozhe Hu (CoRR, 2019)

An a posteriori error estimator for the weak Galerkin least-squares finite-element method. - James H. Adler; Xiaozhe Hu; Lin Mu; Xiu Ye (J. Comput. Appl. Math., 2019)

A weak Galerkin finite element method for the Navier-Stokes equations. - Xiaozhe Hu; Lin Mu; Xiu Ye (J. Comput. Appl. Math., 2019)

Modifying AMG Coarse Spaces with Weak Approximation Property to Exhibit Approximation in Energy Norm. - Xiaozhe Hu; Panayot S. Vassilevski (SIAM J. Matrix Anal. Appl., 2019)

An Adaptive Multigrid Method Based on Path Cover. - Xiaozhe Hu; Junyuan Lin; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2019)

Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation. - Juan Batista; Xiaozhe Hu; Ludmil T. Zikatanov (Comput. Math. Appl., 2020)

Randomized Fast Subspace Descent Methods. - Long Chen 002; Xiaozhe Hu; Huiwen Wu (CoRR, 2020)

Well-posedness, discretization and preconditioners for a class of models for mixed-dimensional problems with high dimensional gap. - Erlend Hodneland; Xiaozhe Hu; Jan Martin Nordbotten (CoRR, 2020)

Momentum Accelerated Multigrid Methods. - Chunyan Niu; Xiaozhe Hu (CoRR, 2020)

Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation. - Xiaozhe Hu; Carmen Rodrigo; Francisco José Gaspar (J. Comput. Phys., 2020)

Convergence analysis of the Fast Subspace Descent method for convex optimization problems. - Long Chen 002; Xiaozhe Hu; Steven M. Wise (Math. Comput., 2020)

Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations. - J. H. Adler; Francisco José Gaspar; Xiaozhe Hu; Peter Ohm; Carmen Rodrigo; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2020)

Mixed-Dimensional Auxiliary Space Preconditioners. - Ana Budisa; Wietse M. Boon; Xiaozhe Hu (SIAM J. Sci. Comput., 2020)

Greedy Fiedler Spectral Partitioning for Data-driven Discrete Exterior Calculus. - Andy Huang; Nathaniel Trask; Christopher Brissette; Xiaozhe Hu (AAAI Spring Symposium: MLPS, 2021)

Random-Walk Based Approximate k-Nearest Neighbors Algorithm for Diffusion State Distance. - Lenore J. Cowen; Xiaozhe Hu; Junyuan Lin; Yue Shen; Kaiyi Wu (LSSC, 2021)

Ladder Polynomial Neural Networks. - Li-Ping Liu; Ruiyuan Gu; Xiaozhe Hu (CoRR, 2021)

An Enriched Galerkin Method for the Stokes Equations. - Son-Young Yi; Xiaozhe Hu; Sanghyun Lee; James H. Adler; Ludmil T. Zikatanov (CoRR, 2021)

Well-Posedness and Discretization for a Class of Models for Mixed-Dimensional Problems with High-Dimensional Gap. - Erlend Hodneland; Xiaozhe Hu; Jan M. Nordbotten (SIAM J. Appl. Math., 2021)

A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations. - James H. Adler; Casey Cavanaugh; Xiaozhe Hu; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2021)

A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians. - Xiaozhe Hu; Kaiyi Wu; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2021)

Diffusion State Distances: Multitemporal Analysis, Fast Algorithms, and Applications to Biological Networks. - Lenore Cowen; Kapil Devkota; Xiaozhe Hu; James M. Murphy; Kaiyi Wu (SIAM J. Math. Data Sci., 2021)

Rational Approximation Preconditioners for Multiphysics Problems. - Ana Budisa; Xiaozhe Hu; Miroslav Kuchta; Kent-André Mardal; Ludmil T. Zikatanov (NMA, 2022)

An enriched Galerkin method for the Stokes equations. - Son-Young Yi; Xiaozhe Hu; Sanghyun Lee; James H. Adler (Comput. Math. Appl., 2022)

A Multigrid Preconditioner for Spatially Adaptive High-order Meshless Method on Fluid-solid Interaction Problems. - Zisheng Ye 001; Xiaozhe Hu; Wenxiao Pan (CoRR, 2022)

Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems. - Xiaozhe Hu; Eirik Keilegavlen; Jan M. Nordbotten (CoRR, 2022)

A Deep Neural Network/Meshfree Method for Solving Dynamic Two-phase Interface Problems. - Xingwen Zhu; Xiaozhe Hu; Pengtao Sun (CoRR, 2022)

An efficient high-order numerical solver for diffusion equations with strong anisotropy. - David L. Green; Xiaozhe Hu; Jeremy Lore; Lin Mu; Mark L. Stowell (Comput. Phys. Commun., 2022)

A mesh-free method using piecewise deep neural network for elliptic interface problems. - Cuiyu He; Xiaozhe Hu; Lin Mu (J. Comput. Appl. Math., 2022)

Enforcing exact physics in scientific machine learning: A data-driven exterior calculus on graphs. - Nathaniel Trask; Andy Huang; Xiaozhe Hu (J. Comput. Phys., 2022)

AmgR: Algebraic Multigrid Accelerated on ReRAM. - Mingjia Fan; Xiaotian Tian; Yintao He; Junxian Li; Yiru Duan; Xiaozhe Hu; Ying Wang 001; Zhou Jin 001; Weifeng Liu 002 (DAC, 2023)

A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations. - James H. Adler; Casey Cavanaugh; Xiaozhe Hu; Andy Huang; Nathaniel Trask (SIAM J. Sci. Comput., 2023)

Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity. - James H. Adler; Yunhui He; Xiaozhe Hu; Scott P. MacLachlan; Peter Ohm (SIAM J. Sci. Comput., 2023)

Physics-Informed Neural Networks for Solving Dynamic Two-Phase Interface Problems. - Xingwen Zhu; Xiaozhe Hu; Pengtao Sun (SIAM J. Sci. Comput., 2023)

HAZniCS - Software Components for Multiphysics Problems. - Ana Budisa; Xiaozhe Hu; Miroslav Kuchta; Kent-André Mardal; Ludmil T. Zikatanov (ACM Trans. Math. Softw., 2023)

Fast Approximate IsoRank for Scalable Global Alignment of Biological Networks. - Kapil Devkota; Anselm Blumer; Xiaozhe Hu; Lenore Cowen (RECOMB, 2024)

A local Fourier analysis for additive Schwarz smoothers. - Álvaro Pé de la Riva; Carmen Rodrigo; Francisco José Gaspar; James H. Adler; Xiaozhe Hu; Ludmil T. Zikatanov (Comput. Math. Appl., 2024)

Improving Greedy Algorithms for Rational Approximation. - James H. Adler; Xiaozhe Hu; Xue Wang; Zhongqin Xue (CoRR, 2024)

Physics-informed nonlinear vector autoregressive models for the prediction of dynamical systems. - James H. Adler; Samuel Hocking; Xiaozhe Hu; Shafiqul Islam (CoRR, 2024)

Approximate IsoRank for Scalable and Functionally Meaningful Cross-Species Alignments of Protein Interaction Networks. - Kapil Devkota; Anselm Blumer; Xiaozhe Hu; Lenore Cowen (J. Comput. Biol., 2024)

Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems. - Ana Budisa; Xiaozhe Hu; Miroslav Kuchta; Kent-André Mardal; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2024)

An Efficient High-Order Solver for Diffusion Equations with Strong Anisotropy on Non-Anisotropy-Aligned Meshes. - David L. Green; Xiaozhe Hu; Jeremy Lore; Lin Mu; Mark L. Stowell (SIAM J. Sci. Comput., 2024)

Solving Graph Laplacians via Multilevel Sparsifiers. - Xiaozhe Hu; Junyuan Lin (SIAM J. Sci. Comput., 2024)

Parameter-free preconditioning for nearly-incompressible linear elasticity. - James H. Adler; Xiaozhe Hu; Yuwen Li 001; Ludmil T. Zikatanov (Comput. Math. Appl., 2024)

Structure-preserving discretization of fractional vector calculus using discrete exterior calculus. - Alon Jacobson; Xiaozhe Hu (Comput. Math. Appl., 2024)

Pressure-robust enriched Galerkin methods for the Stokes equations. - Xiaozhe Hu; Seulip Lee; Lin Mu; Son-Young Yi (J. Comput. Appl. Math., 2024)

Data-driven Whitney forms for structure-preserving control volume analysis. - Jonas A. Actor; Xiaozhe Hu; Andy Huang; Scott A. Roberts; Nathaniel Trask (J. Comput. Phys., 2024)

Fast Convex Optimization via Differential Equation with Hessian-Driven Damping and Tikhonov Regularization. - Gangfan Zhong; Xiaozhe Hu; Ming Tang; Liuqiang Zhong (J. Optim. Theory Appl., 2024)

Oscillation-Free Numerical Schemes for Biot's Model and Their Iterative Coupling Solution. - Álvaro Pé de la Riva; Francisco José Gaspar; Xiaozhe Hu; James H. Adler; Carmen Rodrigo; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2025)

Parameter-robust Preconditioners for the Stokes-Darcy Coupled Problem without Fractional Operators. - Wietse M. Boon; Xiaozhe Hu; Xue Wang (CoRR, 2025)

Parameter-robust preconditioner for Stokes-Darcy coupled problem with Lagrange multiplier. - Xiaozhe Hu; Miroslav Kuchta; Kent-André Mardal; Xue Wang (CoRR, 2025)

Error Estimates for the Arnoldi Approximation of a Matrix Square Root. - James H. Adler; Xiaozhe Hu; Wenxiao Pan; Zhongqin Xue (CoRR, 2025)

A Study on Noise Folding Due to Nonlinearity in Fractional-N CP PLL. - Shize Duan; Zhenrong Li; Xiaozhe Hu; Yanhui Wu; Xuanzhang He; Junyan Leng; Xue Cui; Liyan Yu (IEEE Trans. Circuits Syst. I Regul. Pap., 2025)