I am a co-organizer of the Computational and Applied Mathematics
Seminar. See here for
more details.
Ph.D Students
Junyuan (Joanne) Lin, 2014 - present
Peter Ohm, 2015 - present
Michael Mayer (Mechanical Engineering), 2018 - present
Publications
The Shifted-inverse Power Weak Galerkin
Method for Eigenvalue Problems, Q. Zhai, X. Hu, R.
Zhang, submitted to Journal of Computational Mathematics,
2018.
Randomized and Fault-tolerant Method of Subspace
Corrections, X. Hu, J. Xu, L. T. Zikatanov,
submitted to Research in the Mathematical Sciences, 2018.
A Consistent Spatially Adaptive Smoothed Particle
Hydrodynamics Method for Fluid-Structure Interactions,
W. Hu, G. Guo, X. Hu, D. Negrut, Z. Xu, and W. Pan, submitted
to Computer Methods in Applied Mechanics and Engineering,
2018.
Open Community Challenge Reveals Molecular Network
Modules with Key Roles in Diseases, S. Choobdar,
M. E. Ahsen, J. Crawford, M. Tomasoni, D. Lamparter, J. Lin,
B. Hescott, X. Hu, J. Mercer, T. Natoli, R. Narayan, The Dream
Module Identification Challenge Consortium, A. Subramanian, G.
Stolovitzky, Z. Kutalik, K. Lage, D. K. Slonim, J.
Saez-Rodriguez, L. J. Cowen, S. Bergmann, and D. Marbach,
submitted to Cell, 2018.
An a Posteriori Error Estimator for the Weak Galerkin
Least-Squares Finite-Element Method, J. H.
Adler, X. Hu, L. Mu, and X. Ye, submitted to Journal of
Computational and Applied Mathematics, 2018.
Modified AMG Coarse Spaces with Weak Approximation
Property to Exhibit Approximation in Energy Norm,
X. Hu and P. S. Vasselevski, submitted to SIAM Journal on
Matrix Analysis and Applications, 2018.
A Weak Galerkin Finite Element Method for the
Navier-Stokes Equations, X. Hu, L. Mu, and X. Ye,
submitted to Journal of Computational and Applied Mathematics,
2017.
Vector-potential Finite-element formulations for
Two-dimensional Resistive Magnetohydrodynamics, J.
Adler, Y. He, X. Hu, and S. P. MacLachlan, submitted to
Mathematical Modeling and Numerical Analysis, 2017.
Using Hierarchical Matrices in the Solution of the
Time-fractional Heat Equation by Multigrid Waveform
Relaxation, X. Hu, C. Rodrigo, and F. J. Gaspar,
submitted to SIAM Journal of Scientific Computing, 2017.
New Stabilized Discretizations for Poroelasticity
and the Stokes's Equations, C. Rodrigo, X. Hu, P.
Ohm, J. H. Adler, F. J. Gaspar, and L. T. Zikatanov, submitted
to Computer Methods in Applied Mechanics and Engineering,
2017.
Newton Solvers for Drift-Diffusion and Electrokinetic
Equations, A. Bousquet, X. Hu, M. Metti, and J.
Xu, SIAM Journal of Scientific Computing, accepted.
Robust Block Preconditioners for Biot's Model,
J. H. Adler, F. J. Gaspar, X. Hu, C. Rodrigo, and L. T.
Zikatanov, In Domain Decomposition Methods in Science and
Engineering XXIV, Lecture Notes in Computational Science and
Engineering. Springer-Verlag, accepted.
Optimal Interpolation and Compatible Relaxation in
Classical Algebraic Multigrid, J. Brannick, F.
Cao, K. Kahl, R. Falgout, and X. Hu, SIAM Journal of
Scientific Computing, 40(3), A1473-A1493, 2018.
A Compatible High-order Meshless Method for the Stokes
Equations with Applications to Suspension Flows,
N. Trask, M. Maxey, and X. Hu, Journal of Computational
Physics, 355, 310-326, 2018.
Computing the Diffusion State Distance on Graphs via
Algebraic Multigrid and Random Projections, J.
Lin, L. J. Cowen, B. Hescott, and X. Hu, Numerical Linear
Algebra with Applications, 25(3), 2018.
Weak Galerkin Method for the Biot's Consolidation
Model, X. Hu, L. Mu, and X. Ye, Computer &
Mathematics with Applications, 75, 2017-2030, 2018.
Multigrid Algorithms for hp-version Interior Penalty
Discontinuous Galerkin Methods on Polygonal and Polyhedral
meshes, P. Antonietti, P. Houston, X. Hu, M.
Sarti, and M. Verani, Calcolo, 54(4), 1169-1198, 2017.
Robust Solvers for Maxwell's Equations with
Dissipative Boundary Conditions, J. Adler, X. Hu,
and L. Zikatanov, SIAM Journal of Scientific Computing, 39(5),
S3-S23, 2017.
Adaptive Finite Element Method for fractional
differential equations using Hierarchical Matrices,
X. Zhao, X. Hu, W. Cai, and G. Karniadakis, Computer Methods
in Applied Mechanics and Engineering, 325, 56-76, 2017.
Algebraic Multigrid for Least Squares Problems on
Graphs with Applications to HodgeRank, C. Colley,
J. Lin, X. Hu, and S. Aeron, Graph Algorithms Building Blocks,
31st IEEE International Parallel and Distributed Processing
Symposium, 627-636, 2017.
A Simple Finite Element Method of the Cauchy Problem
for Poisson Equation, X. Hu, L. Mu, and X. Ye,
International Journal of Numerical Analysis and Modeling,
14(4-5). 591-603, 2017.
Numerical Studies of A Class of Linear Solvers for
Fine-Scale Petroleum Reservoir Simulation, Z. Li,
S. Wu, C.-S. Zhang, J. Xu, C. Feng, and X. Hu, Computing and
Visualization in Science, 18(2), 93-102, 2017.
A Nonconforming Finite Element Method for the Biot's
Consolidation Model in Poroealsticity, X. Hu, C.
Rodrigo, J. Gasper, and L. Zikatanov, Journal of Computational
and Applied Mathematics, 310, 143-154, 2017
On the Approximation of Laplacian Eigenvalues in Graph
Disaggregation, X. Hu, J. C. Urschel, and L.
Zikatanov, Linear and Multilinear Algebra, 65(9), 1805-1822,
2017.
Compact Moving Least Squares: An Optimization
Framework for Generating High Order Compact Meshless
Discretizations, N. Trask, M. Maxey, and X. Hu,
Journal of Computational Physics, 326, 596-611, 2016.
Robust Preconditioners for Incompressible MHD Models,
Y. Ma, K. Hu, X. Hu, and J. Xu, Journal of Computational
Physics, 316, 721-746, 2016.
A Two-grid SA-AMG Convergence Bound the Improves When
Increasing the Polynomial Degrees, X. Hu, P.
Vassilevski, and J. Xu, Numer. Linear Algebra Appl, 23(4),
746-771, 2016.
Fast
Multilevel Solvers for A Class of Discrete Fourth Order
Parabolic problems, B. Zheng, L.P. Chen, X. Hu, L.
Chen, R.H. Nochetto, and J. Xu, Journal of Scientific
Computing, 69(1), 201-226, 2016.
Stability and Monotonicity for Some Discretizations of
the Biot's Consolidation Model, C. Rodrigo, J.
Gasper, X. Hu, and L. Zikatanov, Computer Methods in Applied
Mechanics and Engineering, 298(1), 183-204, 2016
On Robust and Efficient Parallel Reservior Simulation
on Tianhe-2, W. Guan, C. Qiao, H. Zhang, C.-S.
Zhang, M. Zhi, Z. Zhu, Z. Zheng, W. Ye, Y. Zhang, X. Hu, Z.
Li, C. Feng, Y. Xu, and J. Xu, SPE Reservoir Characterization
and Simulation Conference and Exhibition, SPE 175602-MS, 2015.
A Finite Element Framework for Some Mimetic Finite
Difference Discretizations, C. Rodrigo, F.J.
Gaspar, X. Hu, and L. Zikatanov, Computers & Mathematics
with Applications, 70(11):2661-2673, 2015.
A Simple Cascade Algorithm for Computing the
Fiedler Vector of Graph Laplacians, J.
Urshel, J. Xu, X. Hu, and L. T. Zikatanov, Journal of
Compputational Mathematics, 33(2), 209-226, 2015.
A Multigrid Solver based on Distributive Smoother and
Defect Correction for Oseen Problems, L. Chen, X.
Hu, M. Wang, and J. Xu, Numerical Mathematics: Theory, Methods
and Applications, 8(2), 237-252, 2015.
Local Fourier Analysis of Multigrid Methods with
Polynomial Smoothers and Aggressive Coarsening,
J. Brannick, X. Hu, C. Rodrigo, and L. Zikatanov,
Numerical Mathematics: Theory, Methods and Applications,
8(1), 1-21, 2015.
Two-Grid Method for Maxwell Eigenvalue Problems,
J. Zhou, X. Hu, L. Chen, S. Shu, and L. Zhong, SIAM
Journal on Numerical Analysis, 52(4), 2027-2047, 2014.
On
Adaptive Eulerian-Lagrangian Method for Linear
Convection-Diffusion Problems, X. Hu, Y.-J. Lee, J.
Xu, and C.-S. Zhang, Journal of Scientific Computing, 58(1),
90-114, 2014.
Application
of Auxiliary Space Preconditioning in Field-Scale Reservoir
Simulations, X. Hu, J. Xu and C.-S. Zhang, SCIENCE
CHINA Mathematics, 56(12), 2737-2751, 2013.
A
Parallel Auxiliary Grid Alegebraic Multigrid Method for
Graphic Processing Units, L. Wang, X. Hu, J. Cohen,
and J. Xu, SIAM Journal on Scientific Computing, 35(3),
C263-C283, 2013.
Combined
Preconditioning with Applications in Reservoir Simulation,
X. Hu, S. Wu, X. Wu, J. Xu, C.-S.Zhang, S. Zhang, and L.
Zikatanov, Multiscale Modeling and Simulation, 11(2),
507-521, 2013.
Parallel
Unsmoothed Aggregation Algebraic Multigrid Algorithms on
GPUs, J. Brannick, Y. Chen, X. Hu, and L. Zikatanov,
Proceedings of Symposium in honor of Raytcho Lazarov's 40
years research in Computational Methods and Applied
Mathematics, Springer Proceedings in Mathematics and
Statistics, Vol 45, 2013
Comparative
Convergence Analysis of Nonlinear AMLI-cycle Multigrid,
X. Hu, P. Vassilevski, and J. Xu, SIAM Journal on Numerical
Analysis, 51(2), 1349-1369, 2013.
Development
of A Fast Auxiliary Space Preconditioner for Numerical
Reservoir Simulations, X. Hu, W. Liu, G. Qin, J. Xu,
Y. Yan, and C.-S. Zhang, SPE Reservoir Characterization and
Simulation Conference and Exhibition, SPE 148388, 2011.
Acceleration
of Two-grid Method for Eigenvalue Problems, X. Hu and
X.-L. Cheng, Mathematics of Computation, 80:1287-1301, 2011.
Effects
of Integration and Adaptivity for the Eulerian-Lagrangian
Method, J.-W. Jia, X. Hu, J. Xu, and C.-S.Zhang,
Journal of Computational Mathematics, 29:367-395, 2011.
The
Boundary Penalty Method for the Diffusion Equation Subject
to the Specification of Mass, X. Hu, L. Zhao, and A.
W. Shaikh, Applied Mathematics and Computation,
186(1):735-748, 2007.
Preconditioners
for Elliptic Problems via Non-uniform Meshes, X. Hu
and X.-F. Ling, Applied Mathematics and Computation,
181(2):1182-1198, 2006.
On the
Iterative Algorithm for Large Sparse Saddle Point Problems,
X.-F. Ling and X. Hu, Applied Mathematics and Computation,
178(2):372-379, 2006.
Invited Talks
Stable Discretizations and Robust Preconditioners for
the Biot’s Model, The Computational Mathematics
Aspects of Porous Media, and Fluid Flow, Lorentz Center,
Leiden, Netherlands, 05/22/2018.
Adaptive Multilevel Finite Element Method for
Fractional Differential Equations using Hierarchical
Matrices, Computational and Applied Mathematics
Seminar, Mississippi State University, 03/23/2018.
Robust Discretization and Preconditioners for the
Biot's Model, Workshop on Solvers for Materials
with High-Aspect-Ratio Inclusions, Finse, Norway, 01/09/2018.
Adaptive Multilevel Finite Element Method for
Fractional Differential Equations using Hierarchical
Matrices, Mathematical Sciences Colloquium,
Worcester Polytechnic Institute, 11/10/2017.
Robust Preconditioners for the Biot's Model, European
Conference on Numerical Mathematics & Advanced
Applications, Voss, Norway, 09/26/2017.
Algebraic Multigrid Methods for Computing Diffusion
State Distance on Graphs, ICMSEC Seminar, Chinese
Academy of Sciences, Beijing, China, 08/09/2017.
Adaptive Multilevel Finite Element Method for
Fractional Differential Equations using Hierarchical
Matrices, Peking University, Beijing, China,
07/24/2017.
Algebraic Multigrid Methods for Computing
Diffusion-based Metrics on Graphs, 2017 SIAM
Annual Meeting, Pittsburgh, 07/13/2017.
Efficient Solvers for Mimetic Finite Difference Method
for Maxwell's Equations, Polytopal Element Methods
in Mathematics and Engineering, University of Milano-Bicocca,
Milano, 07/05/2017.
Robust Preconditioners for Coupled Problems,
MAC Seminar, Centrum Wiskunde & Informatica, Amsterdam,
Netherlands, 06/13/2017.
Robust Preconditioners for Coupled Problems,
Seminario Rubio de Francia, Universidad de Zaragoza, Zaragoza,
Spain, 06/01/2017.
Algebraic Multigrid Methods for Computing Diffusion
State Distance on Graphs, Maseeh Mathematics
\& Statistics Colloquium, Portland State University,
Portland, 05/05/2017.
Algebraic Multigrid Methods for Computing
Diffusion-Based Metrics on Graphs, Computational
Science Seminar, University of Massachusetts Dartmouth,
04/12/2017.
Efficient Simulation of Asymptotically
Disappearing Solutions for Wave Equations,
SIAM conference on Computational Science and Engineering,
Atlanta, 02/28/2017.
(Plenary talk)Robust Preconditioners for Coupled Problems,
at the 24th International Conference on Domain Decomposition
Methods, Svalbard, Norway, 02/07/2017.
Fast Graph Laplacian Solvers and Their
Applications in Protein Interaction Networks,
Applied and Computational Mathematics Seminar, University of
California, Irvine, 12/05/2016.
Fast Graph Laplacian Solvers and Their
Applications, CCMA Colloquium, The
Pennsylvania State University, 11/28/2016.
Distance Metrics for Protein Interaction
Networks, CCMA Luncheon Seminar, The
Pennsylvania State University, 11/28/2016.
Weak Galerkin Finite Element Method for the
Biot's Consolidation Model, The 2nd Annual
Meeting of SIAM Central States Section, University of Arkansas
at Little Rock, 10/01/2016.
Randomized Method of Subspace Corrections,
CCMA PDEs and Numerical Methods Seminar, Penn State
University, 06/28/2016.
Nonconforming Three-field Discretization of
Biot's Model in Poroelasticity, 8th
International Conference on Porous Media \& Annual
Meeting, Cincinnati, Ohio, USA, 05/09/2016.
Convergence Analysis of Finite Element
Discretizations for Biot's Equations,
Workshop ``Flow in Deformable Porous Media", Universidad de
Zaragoza, 11/25/2015.
Finite Element Multigrid Framework for Mimetic
Finite Difference Discretizations, Polytopal
Element Methods in Mathematics and Engineering, Georgia
Institute of Technology, October 28, 2015.
Effective Solvers for Reservoir Simulation,
SIAM Conference on Mathematical and Computational Issues in
the Geosciences, Stanford University, 06/29/2015.
Algebraic Multigrid Method and Its Parallelization,
Computational Science Seminar, University of Massachusetts
Dartmouth, 04/29/2015.
Cascadic Multigrid for Eigenvalue Problems and Its
Application in Graph Problems, Mathematics
Colloquium, Tufts University, 04/17/2015.
Robust Preconditioners for the Incompressible MHD
System, Scientific Computing Seminar, Brown
University, 03/27/2015.
Finite Element Multigrid Framework for Mimetic Finite
Difference Discretizations, SIAM Conference on
Computational Science and Engineering, Salt Lake City,
03/14/2015.
On Adaptive Eulerian-Lagrangian Method for Linear
Convection-Diffusion Problems, AMS Spring Central
Sectional Meeting, Texas Tech University, 04/12/2014.
Effective Solvers for Reservoir Simulation,
Tufts University, 02/12/2014.
Effective Solvers for Reservoir Simulation,
Lawrence Livermore National Laboratory, 11/25/2013.
Cascadic
Multigrid for Eigenvalue Problems and Its Application in
Graph Problems, University of California, Irvine,
09/20/2013.
Parallel
AMG Method on GPU, 21st International Domain
Decomposition Conference, INRIA, Rennes, France, 06/26/2012.
Parallel
Auxiliary Grid AMG Method for GPU, Applied and
Computational Mathematics Seminar, University of California,
Irvine, 05/07/2012.
Algebraic
Multigrid Methods for Petroleum Reservoir Simulation,
8th International Conference on Scientific Computing and
Applications, University of Nevada, Las Vegas, 04/03/2012.
Effective
Preconditioners for Reservoir Simulation,
Computational and Applied Mathematics Colloquium, Department
of Mathematics, The Pennsylvania State University, 01/13/2012.
Effective
Solvers for Reservoir Simulation, Workshop 4:
Numerical Analysis of Multiscale Problems & Stochastic
Modelling, Linz, Austria, 12/14/2011.
Effective
Solvers for Reservoir Simulation, Numerical Analysis
and PDE Seminar, Department of Mathematics, University of
Delaware, 11/10/2011.
Comparative
Convergence Analysis of Nonlinear AMLI-cycle Multigrid,
8th International Conference on Large-Scale Scientific
Computations, Sozopol, Bulgaria, 06/07/2011.
Fast
Solvers for Reservoir Simulation, 20th International
Domain Decomposition Conference, University of California, San
Diego, 02/08/2011.