2012

• Convergence and Optimality of the Adaptive Morley Element Methods

J. Hu and Z.-C. Shi and J. Xu
Numer.Math.  (inpress, 2012)

• Minimal Finite Element Spaces for 2m$-th Order Partial Differential Equations in R^n

J. Xu and M. Wang
Mathematics of Computation, (inpress, 2012)

• Two-grid methods for time-harmonic Maxwell equations,

L. Zhong, S. Shu, J. Wang, and J. Xu
Numer. Linear Algebra Appl., 2012 (to appear).

• Analysis of two-level method for anisotropic diffusion equations on aligned and non-aligned grids

G.Yu,  J. Xu, and L. Zikatanov
Numerical Linear Algebra with Applications, 2012 (to appear).

• Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations

L. Zhong and L. Chen and S. Shu and G. Wittum and J. Xu
Math. Comp. 81, 623-642 (2012)

2011

• Stable Finite Element Discretizations for Viscoelastic Flow Models

Handbook of Numerical Analysis  16  371-433  (2011)

• Global existence, uniqueness and optimal solvers of discretized viscoelastic flow models

Y.-J. Lee and J. Xu and C.-S. Zhang
Math Models and Methods in Applied Sciences, 21, 1713-1732 (2011)

• New mixed finite elements for plane elasticity and Stokes equations

X. Xie and J. Xu
China Math., Vol. 54, 7,1499-1519. (2011)

• Development of a fast auxiliary subspace preconditioner for numerical reservoir simulators

X. Hu, W. Liu, G. Qi, J. Xu, Y. Yan and C.-S. Zhang
SPE Reservoir Characterization and Simulation Conference, SPE 148388 (2011)

• A nonconforming finite element method for fourth order curl equations in $\Bbb{R}^{3}$

B. Zheng and Q. Hu and J. Xu
Math. Comp.  80  1871--1886  (2011)

• Effects of Integrations and Adaptivity for the Eulerian--Lagrangian Method

J. Jia and X. Hu and J. Xu and C.-S. Zhang
J. Comp. Math.  29  367-395  (2011)

• Books of Peking University Modern Mathematics

with Gang Tian
Peking University Press,  2011

• Proceedings of the 20th International Conference on Domain Decomposition Methods

with Bank, R.; Holst, M. and Widlund, O., in San Diego
Domain Decomposition Methods in Science and Engineering Series: Lecture Notes in Computational Science and Engineer
Springer 2011

• Numerical Methods for Non-Newtonian Fluids

with R. Glowinski
Vol. 16 of Handbook of Numerical Analysis
Elsevier Publishing Services, 2011.

• A Eulerian-Lagrangian method for MHD equations

K. Li and C. Liu and J. Xu
(2011)

2010

• A Combined Finite Element-Upwind Finite Volume Method for Liquid-Feed Direct Methanol Fuel Cell Simulations

P. Sun and C. Wang and J. Xu
Journal of Fuel Cell Science and Technology  7  14  (2010)

• Fast Poisson-Based Solvers for Linear and Nonlinear PDEs

J. Xu
Proceedings of the International Congress of mathematicians 2010 (ICM 2010) (2010)

• Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated problems

P. Sun and L. Chen and J. Xu
J. Sci. Comput.  43  24--43  (2010)

• A Generalization of The Vertex-centered Finite Volume Scheme to Arbitrary High Order

A. Vogel and J. Xu and G. Wittum
Comput. Vis. Sci.  13  221--228  (2010)

• Convergence of Adaptive Edge Finite Element Methods for ${\bf H}({\bf curl})$-elliptic Problems

L. Zhong and S. Shu and L. Chen and J. Xu
Numer. Linear Algebra Appl.  17  415--432  (2010)

2009

• Phase Field Model of Thermo-induced Marangoni Effects in the Mixtures and Its Numerical Simulations with Mixed Finite Element Method

L. C. Sun, Pengtao and J. Xu
Commun. Comput. Phys.  6  1095-1117  (2009)

• Numerical Solution to A Mixed Navier-Stokes/Darcy Model by the Two-grid Approach

M. Cai and M. Mu and J. Xu
SIAM J. Numer. Anal.  47  3325--3338  (2009)

• Preconditioning Techniques for A Mixed Stokes/Darcy Model in Porous Media Applications

M. Cai and M. Mu and J. Xu
J. Comput. Appl. Math.  233  346--355  (2009)

• Convergence and Optimality of Adaptive Mixed Finite Element Methods

L. Chen and M. Holst and J. Xu
Math. Comp.  78  35--53  (2009)

• Preface: Special Issue on Adaptive and Multilevel Methods in Computational Electromagnetics

R. Hiptmair and J. Xu
J. Comput. Math.  27  561--562  (2009)

• New Numerical Techniques for A Three-dimensional Liquid-feed Direct Methanol Fuel Cell Model

P. Sun and G. Xue and C. Wang and J. Xu
SIAM J. Appl. Math.  70  600--620  (2009)

• A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell

P. Sun and G. Xue and C.-y. Wang and J. Xu
J. Comput. Phys.  228  6016--6036  (2009)

• Auxiliary Space Preconditoners for Mixed Finite Element Methods

R. S. Tuminaro and J. Xu and Y. Zhu
Domian Decomposition Methods in Science and Engineering XVII. 70, 99-109 (2009)

• Optimal multilevel methods for $H({\rm grad})$, $H({\rm curl})$, and $H({\rm div})$ systems on graded and unstructured grids

J. Xu and L. Chen and R. H. Nochetto
in "Multiscale, Nonlinear and Adaptive Approximation", Springer, 599-659, (2009)

• Analysis of linear and quadratic simplicial finite volume methods for elliptic equations

J. Xu and Q. Zou
Numer. Math.  111  469--492  (2009)

• Optimal algorithms for discretized partial differential equations

J. Xu
in "ICIAM 07 -- 6th International Congress on Industrial and Applied Mathematics", Eur. Math. Soc., Zurich, 409-444 (2009)

• Optimal error estimates for Nedelec edge elements for time-harmonic Maxwell's equations

L. Zhong and S. Shu and G. Wittum and J. Xu
J. Comput. Math.  27  563--572  (2009)

• Fast numerical simulation of two-phase transport model in the cathode of a polymer electrolyte fuel cell

P. Sun and G. Xue and C. Wang and J. Xu
Commun. Comput. Phys.      (2009)

2008

• A Combined Finite Element-Upwind Finite Volume-Newton's Method for Liquid-Feed Direct Methanol Fuel Cell Simulations

P. Sun and G. Xue and C. Wang and J. Xu
Proceedings of Sixth International Fuel Cell Science, Engineering and Technology Conference  (2008)

• Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials

S. Shu and I. Babuska and J. Xu and Y. Xiao and L. Zikatanov
SIAM J. Sci. Comput. 31, 687-707  (2008)

• Auxiliary space preconditioning for edge elements

R. Hiptmair and J. Xu
IEEE Trans. Magnetics  44  938--941  (2008)

• Stability and accuracy of adapted finite element methods for singularly perturbed problems

L. Chen and J. Xu
Numer. Math.  109  167--191  (2008)

• New estimates for the rate of convergence of the method of subspace corrections

D. Cho and J. Xu and L. Zikatanov
Numer. Math. Theory Methods Appl.  1  44--56  (2008)

• Convergence and optimal complexity of adaptive finite element eigenvalue computations

X. Dai and J. Xu and A. Zhou
Numer. Math.  110  313--355  (2008)

• Local and parallel finite element algorithms for the {S}tokes problem

Y. He and J. Xu and A. Zhou and J. Li
Numer. Math.  109  415--434  (2008)

• Superconvergence of quadratic finite elements on mildly structured grids

Y. Huang and J. Xu
Math. Comp.  77  1253--1268  (2008)

• A sharp convergence estimate for the method of subspace corrections for singular systems of equations

Y.-J. Lee and J. Wu and J. Xu and L. Zikatanov
Math. Comp.  77  831--850  (2008)

• Convergence analysis on iterative methods for semidefinite systems

J. Wu and Y.-J. Lee and J. Xu and L. Zikatanov
J. Comput. Math.  26  797--815  (2008)

• Uniformly-stable finite element methods for Darcy-Stokes-Brinkman models

X. Xie and J. Xu and G. Xue
J. Comput. Math.  26  437--455  (2008)

• Uniform convergent multigrid methods for elliptic problems with strongly discontinuous coefficients

J. Xu and Y. Zhu
Math. Models Methods Appl. Sci.  18  77--105  (2008)

• Convergence of adaptive conforming and nonconforming finite element methods for the perturbed Stokes equation

J. Hu and J. Xu
submitted to SINUM  (2008)

• New adaptive finite volume methods and convergence analysis

J. Xu and Y. Zhu and Q. Zou
Submitted to Numerische Mathematik      (2008)

2007

• Optimal anisotropic simplicial meshes for minimizing interpolation errors in ${L}^p$-norm

L. Chen and P. Sun and J. Xu
Mathematics of Computation  76  179--204  (2007)

• Superconvergent derivative recovery for Lagrange triangular elements of degree $p$ on unstructured grids

R. E. Bank and J. Xu and B. Zheng
SIAM J. Numer. Anal.  45  2032--2046 (electronic)  (2007)

• The finite element approximation of the nonlinear Poisson-Boltzmann equation

L. Chen and M. J. Holst and J. Xu
SIAM J. Numer. Anal.  45  2298--2320  (2007)

• Nodal auxiliary space preconditioning in ${\bf H}({\bf curl})$ and ${\bf H}({\rm div})$ spaces

R. Hiptmair and J. Xu
SIAM J. Numer. Anal.  45  2483--2509 (electronic)  (2007)

• Robust subspace correction methods for nearly singular systems

Y.-J. Lee and J. Wu and J. Xu and L. Zikatanov
Math. Models Methods Appl. Sci.  17  1937--1963  (2007)

• A two-grid method of a mixed Stokes-Darcy model for coupling fluid flow with porous media flow

M. Mu and J. Xu
SIAM J. Numer. Anal.  45  1801--1813  (2007)

• A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem

P. Sun and R. D. Russell and J. Xu
J. Comput. Phys.  224  1021--1048  (2007)

• A new class of Zienkiewicz-type non-conforming element in any dimensions

M. Wang and Z.-c. Shi and J. Xu
Numer. Math.  106  335--347  (2007)

• Some $n$-rectangle nonconforming elements for fourth order elliptic equations

M. Wang and Z.-C. Shi and J. Xu
J. Comput. Math.  25  408--420  (2007)

• Adaptive Computations: Theory and Algorithm

with T. Tang
Science Press, 2007.

• Consistent piecewise polynomial approximation of $H^m(\Omega)$ functions in $R^n$ for any $0\leq m\leq n$

J. Xu and M. Wang
Oberwolfach Report 36    2165--2168  (2007)

2006

• Nonconforming tetrahedral finite elements for fourth order elliptic equations

W. Ming and J. Xu
Math. Comp.  76  1--18 (electronic)  (2006)

• An application of multigrid methods for a discrete elastic model for epitaxial systems

R. E. Caflisch and Y.-J. Lee and S. Shu and Y.-X. Xiao and J. Xu
J. Comput. Phys.  219  697--714  (2006)

• Local and parallel finite element algorithms for the Navier-Stokes problem

Y. He and J. Xu and A. Zhou
J. Comput. Math.  24  227--238  (2006)

• A two-grid discretization method for decoupling systems of partial differential equations

J. Jin and S. Shu and J. Xu
Math. Comp.  75  1617--1626 (electronic)  (2006)

• On the convergence of iterative methods for semidefinite linear systems

Y.-J. Lee and J. Wu and J. Xu and L. Zikatanov
SIAM J. Matrix Anal. Appl.  28  634--641  (2006)

• New formulations, positivity preserving discretizations and stability analysis for non-Newtonian flow models

Y.-J. Lee and J. Xu
Comput. Methods Appl. Mech. Engrg.  195  1180--1206  (2006)

• An algebraic multigrid method for higher-order finite element discretizations

S. Shu and D. Sun and J. Xu
Computing  77  347--377  (2006)

• An algebraic multigrid method for finite element systems on criss-cross grids

S. Shu and J. Xu and Y. Yang and H. Yu
Adv. Comput. Math.  25  287--304  (2006)

• A toy model for testing finite element methods to simulate extreme-mass-ratio binary systems

C. F. Sopuerta and P. Sun and P. Laguna and J. Xu
Classical Quantum Gravity  23  251--285  (2006)

• The Morley element for fourth order elliptic equations in any dimensions

M. Wang and J. Xu
Numer. Math.  103  155--169  (2006)

• Modified Morley element method for a fourth elliptic singular perturbation problem

M. Wang and J. Xu and Y. Hu
J. Comp. Math  24  113-120  (2006)

• On the well-posedness of a mathematical model for lithium-ion battery systems

J. Wu and J. Xu and H. Zou
Methods Appl. Anal.  13  275--297  (2006)

• Extending the applicability of multigrid methods

J. Brannick and M. Brezina and R. Falgout and T. Manteuffel and S. McCormick and J. Ruge and B. Sheehan and J. Xu and L. Zikatanov
J. Phys.: Conf. Ser.  46  443--452  (2006)

• Algebraic Multigrid Methods and Preconditioned Conjugate Gradient Algorithm for Lattice Block Materials Models

S. Shu and I. Babuska and Y. Xian and J. Xu and L. Zikatanov
Department of Mathematics, Penn State University, Technique Report  (2006)

2005

• Partition of unity method on nonmatching grids for the Stokes problem

C. Bacuta and J. Chen and Y. Huang and J. Xu and L. Zikatanov
J. Numer. Math.  13  157--169  (2005)

• Asymptotically Optimal and Linear-time Algorithm for Polygonal Curve Simplification

L. Chen and J. Z. Wang and J. Xu
IEEE Transactions on Pattern Analysis and Machine Intelligence      (2005)

• Measuring single cardiac myocyte contractile force via moving a magnetic bead

S. Yin and X. Zhang and C. Zhan and J. Wu and J. Cheung and J. Xu
Biophysical Journal    1489-1495  (2005)

• Multilevel homotopic adaptive finite element methods for convection dominated problems

L. Chen and P. Sun and J. Xu
  40  459--468  (2005)

• An optimal streamline diffusion finite element method for a singularly perturbed problem

L. Chen and J. Xu
  383  191--201  (2005)

2004

• Uniformly convergent multigrid methods for convection-diffusion problems without any constraint on coarse grids

H. Kim and J. Xu and L. Zikatanov
Adv. Comput. Math.  20  385--399  (2004)

• Analysis of recovery type a posteriori error estimators for mildly structured grids

J. Xu and Z. Zhang
Math. Comp.  73  1139--1152 (electronic)  (2004)

• Optimal Delaunay triangulations

L. Chen and J. Xu
Journal of Computational Mathematics  22  299-308  (2004)

• On an energy minimizing basis for algebraic multigrid methods

J. Xu and L. Zikatanov
Comput. Vis. Sci.  7  121--127  (2004)

• Proceedings of the 15th International Conference on Domain Decomposition Methods

with Kornhuber, R.; Hoppe, R.; Pu, O.; Widlund, O., in Berlin, Germany,
Domain Decomposition Methods in Science and Engineering Series: Lecture Notes in Computational Science and Engineer, Vol. 4,  Springer, 2004.

2003

• Regularity estimates for elliptic boundary value problems in Besov spaces

C. Bacuta and J. H. Bramble and J. Xu
Math. Comp.  72  1577--1595 (electronic)  (2003)

• Regularity estimates for elliptic boundary value problems with smooth data on polygonal domains

C. Bacuta and J. H. Bramble and J. Xu
J. Numer. Math.  11  75--94  (2003)

• Asymptotically exact a posteriori error estimators. I. Grids with superconvergence

R. E. Bank and J. Xu
SIAM J. Numer. Anal.  41  2294--2312 (electronic)  (2003)

• Asymptotically exact a posteriori error estimators. II. General unstructured grids

R. E. Bank and J. Xu
SIAM J. Numer. Anal.  41  2313--2332 (electronic)  (2003)

• A conforming finite element method for overlapping and nonmatching grids

Y. Huang and J. Xu
Math. Comp.  72  1057--1066  (2003)

• A multigrid method based on graph matching for convection-diffusion equations

H. Kim and J. Xu and L. Zikatanov
Numer. Linear Algebra Appl.  10  181--195  (2003)

• Successive subspace correction method for singular system of equations

Y.-J. Lee and J. Xu and L. Zikatanov
Proceedings of the 14th International Conference on Domain Decomposition Method, 315--321  (2003)

• Some observations on Babuska and Brezzi theories

J. Xu and L. Zikatanov
Numer. Math.  94  195--202  (2003)

• Partition of Unity Method for Stokes Problem on Nonmatching Grids

C. Bacuta and J. Xu
Proceedings of the 2003 Copper Mountain Conference on Multigrid Methods (2003)

• AMG and construction of coarse grids and related stuff

J. Xu and L. Zikatanov
Department of Mathematics, Penn State University, Technique Report (2003)

2002

J. Wu and J. Xu
      (2002)

• Algebraic multigrid method on lattice block materials

S. Shu and J. Xu and Y. Xiao and L. Zikatanov
Recent Progress in Computational and Applied PDEs, 289 -307, (2002)

• Rate of convergence for parallel subspace correction methods for nonlinear variational inequalities

X.-C. Tai and B. Heimsund and J. Xu
Proceedings of the 13rd International Conference on Domain Decomposition Method, 127--138  (2002)

• Newton-Krylov-multigrid algorithms for battery simulation

J. Wu and V. Srinivasan and J. Xu and C. Wang
Journal of the Electrochemical Society  149  A1342  (2002)

• Local and parallel finite element algorithms for eigenvalue problems

J. Xu and A. Zhou
Acta Math. Appl. Sin. Engl. Ser.  18  185--200  (2002)

• Some multiscale methods for partial differential equations

J. Xu and A. Zhou
Contemporary Mathematics, 306  1--27  (2002)  

• The method of alternating projections and the method of subspace corrections in Hilbert space

J. Xu and L. Zikatanov
J. Amer. Math. Soc.  15  573--597  (2002)

• Recent Progress in Computational and Applied PDEs,

with T. Chan, Y. Huang, T. Tang and L. Ying
Proceedings of International Symposium on Computational and Applied PDEs
July 2001 Zhangjiajie, 2002.

2001

• Global and uniform convergence of subspace correction methods for some convex optimization problems

X.-C. Tai and J. Xu
Math. Comp.  71  105--124  (2001)

• Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems

J. Xu and A. Zhou
Adv. Comput. Math.  14  293--327  (2001)

• Convergence of an explicit upwind finite element method to multi-dimensional conservation laws

J. Xu and L. Ying
J. of Comp. Math.  19  87--100  (2001)

2000

• The method of subspace corrections

J. Xu
J. Comput. Appl. Math.  128  335--362  (2000)

• A finite element multigrid preconditioner for Chebyshev-collocation method

J. Shen and F. Wang and J. Xu
Applied Numerical Mathematics  33  471--477  (2000)

• Local and parallel finite element algorithms based on two-grid discretizations

J. Xu and A. Zhou
Math. Comp.  69  881--909  (2000)

1999

• A two-grid discretization scheme for eigenvalue problems

J. Xu and A. Zhou
Math. Comp.  70  17--25  (1999)

• A partition-of-unity finite element method for elliptic problems with highly oscillating coefficients

Y. Huang and J. Xu
  99  27--30  (1999)

• On a Schur complement operator arisen from Navier-Stokes equations and its preconditioning

L. Shen and J. Xu
  202  481--490  (1999)

• Subspace correction methods for convex optimization problems

X.-C. Tai and J. Xu
    130--139 (electronic)  (1999)

• A crosswind block iterative method for convection-dominated problems

F. Wang and J. Xu
SIAM J. Sci. Comput.  21  620--645 (electronic)  (1999)

• Some local and parallel properties of finite element discretizations

J. Xu and A. Zhou
Proceedings of the 11st International Conference on Domain Decomposition Method, 140--147 (electronic)  (1999)

• A monotone finite element scheme for convection-diffusion equations

J. Xu and L. Zikatanov
Math. Comp.  68  1429--1446  (1999)

• A special volume on multilevel methods

with R. Bank and T. Chan
Numerical Algorithms, 1999.

1998

• An agglomeration multigrid method for unstructured grids

T. F. Chan and J. Xu and L. Zikatanov
  218  67--81  (1998)

• A study of incorporating the multigrid method into the three-dimensional finite element discretization: a modular setting of grid generation and application

H. Cheng and G. Yeh and J. Xu and J. Cheng and R. Carsel
International Journal for Numerical Methods in Engineering  41  499--526  (1998)

• Some nonoverlapping domain decomposition methods

J. Xu and J. Zou
SIAM Rev.  40  857--914  (1998)

1997

• The EAFE scheme and CWS method for Convection Dominated Problems

J. Xu
Proceedings of the 9th International Conference on Domain Decomposition Method, (1997)

• Preconditioning the Poincaré-Steklov operator by using Green's function

J. Xu and S. Zhang
Math. Comp.  66  125--138  (1997)

1996

• An algorithm for coarsening unstructured meshes

R. E. Bank and J. Xu
Numer. Math.  73  1--36  (1996)

• The auxiliary space method and optimal multigrid preconditioning techniques for unstructured grids

J. Xu
Computing  56  215--235  (1996)

• Two-grid discretization techniques for linear and nonlinear PDEs

J. Xu
SIAM J. Numer. Anal.  33  1759--1777  (1996)

• Numerical Methods in Applied Sciences

with W. Cai, Z. Shi and Q. Shu
Science Press, 1996.

1995

• A hierarchical basis multigrid method for unstructured grids

R. E. Bank and J. Xu
Fast Solvers for Flow Problems Proceedings of the Tenth GAMMSeminar Kiel  49  1--13  (1995)

• Error estimates on a new nonlinear Galerkin method based on two-grid finite elements

M. Marion and J. Xu
SIAM J. Numer. Anal.  32  1170--1184  (1995)

1994

• The hierarchical basis multigrid method and incomplete LU decomposition

R. E. Bank and J. Xu
Contemporary mathematics, 180  163--173  (1994)

• Some remarks on a multigrid preconditioner

J. Xu and J. Qin
SIAM J. Sci. Comput.  15  172--184  (1994)

• A novel two-grid method for semilinear elliptic equations

J. Xu
SIAM J. Sci. Comput.  15  231--237  (1994)

• Some two-grid finite element methods

J. Xu
Proceedings of the 6th International Conference on Domain Decomposition Method, 157  79--87  (1994)

• Proceedings of Seventh International Conference on Domain Decomposition Methods

with D. Keyes
AMS Publications, 1994.   

1992

• A New class of iterative methods for nonselfadjoint or indefinite problems

J. Xu
SIAM Journal on Numerical Analysis  29  303--319  (1992)

• A preconditioned GMRES method for nonsymmetric or indefinite problems

J. Xu and X.-C. Cai
Math. Comp.  59  311--319  (1992)

• Galerkin-wavelet methods for two-point boundary value problems

J. Xu and W. C. Shann
Numer. Math.  63  123--144  (1992)

• Iterative methods by space decomposition and subspace correction

J. Xu
SIAM Rev.  34  581--613  (1992)

• Iterative methods by SPD and small subspace solvers for nonsymmetric or indefinite problems

J. Xu
Proceedings of the 5th International Conference on Domain Decomposition Method, 106--118  (1992)

• A multilevel preconditioner for domain decomposition boundary systems

J. H. Bramble and J. E. Pasciak and J. Xu
Proceedings of the Tenth International Conference on Computer Methods in Applied Science and Engineering (1992)

1991

• Convergence estimates for multigrid algorithms without regularity assumptions

J. H. Bramble and J. E. Pasciak and J. P. Wang and J. Xu
Math. Comp.  57  23--45  (1991)

• Convergence estimates for product iterative methods with applications to domain decomposition

J. H. Bramble and J. E. Pasciak and J. P. Wang and J. Xu
Math. Comp.  57  1--21  (1991)

• The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms

J. H. Bramble and J. E. Pasciak and J. Xu
Math. Comp.  56  1--34  (1991)

• Some estimates for a weighted $L^2$ projection

J. H. Bramble and J. Xu
Math. Comp.  56  463--476  (1991)

• Counterexamples concerning a weighted $L^2$ projection

J. Xu
Math. Comp.  57  563--568  (1991)

1990

• Convergence estimates for some multigrid algorithms

J. Xu
Proceedings of the 3rd International Conference on Domain Decomposition Method, 174--187  (1990)

• Parallel multilevel preconditioners

J. H. Bramble and J. E. Pasciak and J. Xu
Math. Comp.   174--187  (1990)

1989

• Superconvergence of the gradient in piecewise linear finite-element approximation to a parabolic problem

V. Thomée and J. Xu and N. Y. Zhang
SIAM J. Numer. Anal.  26  553--573  (1989)

• Theory of multilevel methods

J. Xu
Ph.d thesis, under James Bramble, Cornell Unversity  (1989)

1988

• A local post-processing technique for improving the accuracy in mixed finite-element approximations

J. H. Bramble and J. Xu
SIAM J. Numer. Anal.  26  1267--1275  (1988)

• The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems

J. H. Bramble and J. E. Pasciak and J. Xu
Math. Comp.  51  389--414  (1988)

• The analysis and improvement on infinite element algorithms

J. Xu and L. Ying
Chinese J. Numer. Math & Appl.  10  71-82  (1988)

• The error analysis and the improved algorithms for the infinite element method

J. Xu and  Y. Long
Chinese J. Numer. Math. & Appl.  10, 71--82, (1988)

1986

• Analysis and improvement of algorithms for the infinite element method

J. Xu and L. A. Ying
Math. Numer. Sinica  8  164--174  (1986)

1985

• Linear finite elements with high accuracy

Q. Lin and J. Xu
J. Comput. Math.  3  115--133  (1985)

1984

• Some inequalities in Sobolev space and finite and infinite elements on polygonal domains

J. Xu
M. A. thesis, under Longan Ying, Peking University      (1984)

1982

• Estimate of the Convergence Rate of the Finite element Solutions to Elliptic Equation of Second Order with Discontinuous Coefficients

J. Xu
Natural Science Journal of Xiangtan University  1  1-5  (1982)