• 6247 Citations
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1988 …2020

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2020

A machine learning method correlating pulse pressure wave data with pregnancy

Chen, J., Huang, H., Hao, W. & Xu, J., Jan 1 2020, In : International Journal for Numerical Methods in Biomedical Engineering. 36, 1, e3272.

Research output: Contribution to journalArticle

1 Scopus citations
2019

Generalized Gaffney inequality and discrete compactness for discrete differential forms

He, J., Hu, K. & Xu, J., Dec 1 2019, In : Numerische Mathematik. 143, 4, p. 781-795 15 p.

Research output: Contribution to journalArticle

MgNet: A unified framework of multigrid and convolutional neural network

He, J. & Xu, J., Jul 1 2019, In : Science China Mathematics. 62, 7, p. 1331-1354 24 p.

Research output: Contribution to journalArticle

2 Scopus citations

New hybridized mixed methods for linear elasticity and optimal multilevel solvers

Gong, S., Wu, S. & Xu, J., Feb 13 2019, In : Numerische Mathematik. 141, 2, p. 569-604 36 p.

Research output: Contribution to journalArticle

1 Scopus citations

Nonconforming finite element spaces for 2mth order partial differential equations on ℝn simplicial grids when m = n + 1

Wu, S. & Xu, J., Jan 1 2019, In : Mathematics of Computation. 88, 316, p. 531-551 21 p.

Research output: Contribution to journalArticle

Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications

Leng, W., Zhang, C. S., Sun, P., Gao, B. & Xu, J., Jan 2019, In : Journal of Computational Science. 30, p. 79-89 11 p.

Research output: Contribution to journalArticle

1 Scopus citations

On the stability and accuracy of partially and fully implicit schemes for phase field modeling

Xu, J., Li, Y., Wu, S. & Bousquet, A., Mar 1 2019, In : Computer Methods in Applied Mechanics and Engineering. 345, p. 826-853 28 p.

Research output: Contribution to journalArticle

6 Scopus citations

Randomized and fault-tolerant method of subspace corrections

Hu, X., Xu, J. & Zikatanov, L. T., Sep 1 2019, In : Research in Mathematical Sciences. 6, 3, 29.

Research output: Contribution to journalArticle

Structure-preserving finite element methods for stationary MHD models

Hu, K. & Xu, J., Jan 1 2019, In : Mathematics of Computation. 88, 316, p. 553-581 29 p.

Research output: Contribution to journalArticle

2 Scopus citations
2018

Error estimates of the classical and improved two-gridmethods

Zhang, W., Xu, J. & Zhong, L., Jan 1 2018, In : Advances in Applied Mathematics and Mechanics. 10, 4, p. 785-796 12 p.

Research output: Contribution to journalArticle

1 Scopus citations

Newton solvers for drift-diffusion and electrokinetic equations

Bousquet, A., Hu, X., Metti, M. S. & Xu, J., Jan 1 2018, In : SIAM Journal on Scientific Computing. 40, 3, p. B982-B1006

Research output: Contribution to journalArticle

1 Scopus citations
2017

Algebraic multigrid methods

Xu, J. & Zikatanov, L., May 1 2017, In : Acta Numerica. 26, p. 591-721 131 p.

Research output: Contribution to journalArticle

28 Scopus citations

A mathematical model of aortic aneurysm formation

Hao, W., Gong, S., Wu, S., Xu, J., Go, M. R., Friedman, A. & Zhu, D., Feb 2017, In : PloS one. 12, 2, e0170807.

Research output: Contribution to journalArticle

6 Scopus citations

Analytical decoupling techniques for fully implicit reservoir simulation

Qiao, C., Wu, S., Xu, J. & Zhang, C. S., May 1 2017, In : Journal of Computational Physics. 336, p. 664-681 18 p.

Research output: Contribution to journalArticle

2 Scopus citations

An error-resilient redundant subspace correction method

Cui, T., Xu, J. & Zhang, C. S., Jan 1 2017, In : Computing and Visualization in Science. 18, 2-3, p. 65-77 13 p.

Research output: Contribution to journalArticle

5 Scopus citations
5 Scopus citations
6 Scopus citations

Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation

Li, Z., Wu, S., Zhang, C. S., Xu, J., Feng, C. & Hu, X., Jan 1 2017, In : Computing and Visualization in Science. 18, 2-3, p. 93-102 10 p.

Research output: Contribution to journalArticle

1 Scopus citations

Stable finite element methods preserving ∇ · B= 0 exactly for MHD models

Hu, K., Ma, Y. & Xu, J., Feb 1 2017, In : Numerische Mathematik. 135, 2, p. 371-396 26 p.

Research output: Contribution to journalArticle

22 Scopus citations
2016

A nearly optimal multigrid method for general unstructured grids

Grasedyck, L., Wang, L. & Xu, J., Nov 1 2016, In : Numerische Mathematik. 134, 3, p. 637-666 30 p.

Research output: Contribution to journalArticle

2 Scopus citations

A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations

Hong, Q., Kraus, J., Xu, J. & Zikatanov, L., Jan 1 2016, In : Numerische Mathematik. 132, 1, p. 23-49 27 p.

Research output: Contribution to journalArticle

7 Scopus citations

A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree

Hu, X., Vassilevski, P. S. & Xu, J., Aug 1 2016, In : Numerical Linear Algebra with Applications. 23, 4, p. 746-771 26 p.

Research output: Contribution to journalArticle

6 Scopus citations

Compositional modeling of dissolution-induced injectivity alteration during CO2 flooding in carbonate reservoirs

Qiao, C., Li, L., Johns, R. T. & Xu, J., Jun 1 2016, In : SPE Journal. 21, 3, p. 809-826 18 p.

Research output: Contribution to journalArticle

14 Scopus citations

Energetically stable discretizations for charge transport and electrokinetic models

Metti, M. S., Xu, J. & Liu, C., Feb 1 2016, In : Journal of Computational Physics. 306, p. 1-18 18 p.

Research output: Contribution to journalArticle

11 Scopus citations

Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems

Zheng, B., Chen, L., Hu, X., Chen, L., Nochetto, R. H. & Xu, J., Oct 1 2016, In : Journal of Scientific Computing. 69, 1, p. 201-226 26 p.

Research output: Contribution to journalArticle

2 Scopus citations

Modeling and simulations for fluid and rotating structure interactions

Yang, K., Sun, P., Wang, L., Xu, J. & Zhang, L., Nov 1 2016, In : Computer Methods in Applied Mechanics and Engineering. 311, p. 788-814 27 p.

Research output: Contribution to journalArticle

6 Scopus citations

Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients

Kolev, T. V., Xu, J. & Zhu, Y., Apr 1 2016, In : Journal of Scientific Computing. 67, 1, p. 324-350 27 p.

Research output: Contribution to journalArticle

2 Scopus citations

Robust preconditioners for incompressible MHD models

Ma, Y., Hu, K., Hu, X. & Xu, J., Jul 1 2016, In : Journal of Computational Physics. 316, p. 721-746 26 p.

Research output: Contribution to journalArticle

17 Scopus citations

Toward cost-effective reservoir simulation solvers on GPUs

Li, Z., Wu, S., Xu, J. & Zhang, C., Dec 1 2016, In : Advances in Applied Mathematics and Mechanics. 8, 6, p. 971-991 21 p.

Research output: Contribution to journalArticle

2015

A cascadic multigrid algorithm for computing the Fiedler vector of graph Laplacians

Urschel, J. C., Xu, J., Hu, X. & Zikatanov, L. T., Mar 1 2015, In : Journal of Computational Mathematics. 33, 2, p. 209-226 18 p.

Research output: Contribution to journalArticle

11 Scopus citations

A mechanistic model for wettability alteration by chemically tuned waterflooding in carbonate reservoirs

Qiao, C., Li, L., Johns, R. T. & Xu, J., Aug 1 2015, In : SPE Journal. 20, 4, p. 767-783 17 p.

Research output: Contribution to journalArticle

47 Scopus citations

A Multigrid Solver based on Distributive Smoother and Residual Overweighting for Oseen Problems

Chen, L., Hu, X., Wang, M. & Xu, J., Jan 1 2015, In : Numerical Mathematics. 8, 2, p. 237-252 16 p.

Research output: Contribution to journalArticle

5 Scopus citations

A scalable consistent second-order SPH solver for unsteady low Reynolds number flows

Trask, N., Maxey, M., Kim, K., Perego, M., Parks, M. L., Yang, K. & Xu, J., Jun 1 2015, In : Computer Methods in Applied Mechanics and Engineering. 289, p. 155-178 24 p.

Research output: Contribution to journalArticle

24 Scopus citations

Well-posedness and robust preconditioners for discretized fluid-structure interaction systems

Xu, J. & Yang, K., Aug 1 2015, In : Computer Methods in Applied Mechanics and Engineering. 292, p. 69-91 23 p.

Research output: Contribution to journalArticle

6 Scopus citations
2014

A multilevel preconditioner and its shared memory implementation for a new generation reservoir simulator

Wu, S., Xu, J., Feng, C., Zhang, C. S., Li, Q., Shu, S., Wang, B., Li, X. & Li, H., Oct 31 2014, In : Petroleum Science. 11, 4, p. 540-549 10 p.

Research output: Contribution to journalArticle

3 Scopus citations

A simple preconditioner for a Discontinuous Galerkin method for the Stokes problem

De Dios, B. A., Brezzi, F., Marini, L. D., Xu, J. & Zikatanov, L., Mar 2014, In : Journal of Scientific Computing. 58, 3, p. 517-547 31 p.

Research output: Contribution to journalArticle

11 Scopus citations

Full Eulerian finite element method of a phase field model for fluid-structure interaction problem

Sun, P., Xu, J. & Zhang, L., Feb 10 2014, In : Computers and Fluids. 90, p. 1-8 8 p.

Research output: Contribution to journalArticle

14 Scopus citations

Lower bounds of the discretization error for piecewise polynomials

Lin, Q., Xie, H. & Xu, J., Jan 1 2014, In : Mathematics of Computation. 83, 285, p. 1-13 13 p.

Research output: Contribution to journalArticle

24 Scopus citations

Numerical study of geometric multigrid methods on CPU-GPU heterogeneous computers

Feng, C., Shu, S., Xu, J. & Zhang, C. S., 2014, In : Advances in Applied Mathematics and Mechanics. 6, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

7 Scopus citations

On adaptive Eulerian-Lagrangian method for linear convection-diffusion problems

Hu, X., Lee, Y. J., Xu, J. & Zhang, C. S., Jan 1 2014, In : Journal of Scientific Computing. 58, 1, p. 90-114 25 p.

Research output: Contribution to journalArticle

5 Scopus citations

Optimal solvers for fourth-order PDEs discretized on unstructured grids

Zhang, S. & Xu, J., Mar 28 2014, In : SIAM Journal on Numerical Analysis. 52, 1, p. 282-307 26 p.

Research output: Contribution to journalArticle

12 Scopus citations

Spatial heterogeneity and co-occurrence patterns of human mucosal-associated intestinal microbiota

Zhang, Z., Geng, J., Tang, X., Fan, H., Xu, J., Wen, X., Ma, Z. & Shi, P., Jan 1 2014, In : ISME Journal. 8, 4, p. 881-893 13 p.

Research output: Contribution to journalArticle

96 Scopus citations
2013
2 Scopus citations

A parallel auxiliary grid algebraic multigrid method for graphic processing units

Wang, L., Hu, X., Cohen, J. & Xu, J., Oct 8 2013, In : SIAM Journal on Scientific Computing. 35, 3, p. C263-C283

Research output: Contribution to journalArticle

10 Scopus citations

Application of an energy-minimizing algebraic multigrid method for subsurface water simulations

Cheng, J. R. C., Huang, X. H., Shu, S., Xu, J., Zhang, C. S., Zhang, S. & Zhou, Z., Jun 14 2013, In : International Journal of Numerical Analysis and Modeling. 10, 2, p. 374-388 15 p.

Research output: Contribution to journalArticle

Application of auxiliary space preconditioning in field-scale reservoir simulation

Hu, X. Z., Xu, J. & Zhang, C. S., Dec 1 2013, In : Science China Mathematics. 56, 12, p. 2737-2751 15 p.

Research output: Contribution to journalArticle

8 Scopus citations

Combined preconditioning with applications in reservoir simulation

Hu, X., Wu, S., Wu, X. H., Xu, J., Zhang, C. S., Zhang, S. & Zikatanov, L., Jul 9 2013, In : Multiscale Modeling and Simulation. 11, 2, p. 507-521 15 p.

Research output: Contribution to journalArticle

12 Scopus citations

Comparative convergence analysis of nonlinear AMLI-cycle multigrid

Hu, X., Vassilevski, P. S. & Xu, J., Jul 29 2013, In : SIAM Journal on Numerical Analysis. 51, 2, p. 1349-1369 21 p.

Research output: Contribution to journalArticle

11 Scopus citations

Convergence and optimality of the adaptive nonconforming linear element method for the stokes problem

Hu, J. & Xu, J., Apr 1 2013, In : Journal of Scientific Computing. 55, 1, p. 125-148 24 p.

Research output: Contribution to journalArticle

21 Scopus citations

Minimal finite element spaces for 2m-th-order partial differential equations in Rn

Wang, M. & Xu, J., Jan 17 2013, In : Mathematics of Computation. 82, 281, p. 25-43 19 p.

Research output: Contribution to journalArticle

22 Scopus citations