• Subspace Correction Method (Multigrid Method, Domain Decomposition Method)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

J. Xu
SIAM Rev.  34  581--613  (1992)

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

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

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

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

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

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

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


  • Auxiliary Space Preconditioning Method
 
J. Xu
Proceedings of the International Congress of mathematicians 2010 (ICM 2010) (2010)

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

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

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

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

J. Xu
Computing  56  215--235  (1996)

  • Algebraic Multigrid Method

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

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

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)

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

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

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

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

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

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

   
  • Two-grid Method

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


  • Finite Element Method (Finite Volume Method, Infinite Element Method)

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

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


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

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

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

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

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

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

M. Wang and Z.-C. Shi and J. Xu
J. Comput. Math.  25  408--420  (2007)
L. Chen and M. J. Holst and J. Xu
SIAM J. Numer. Anal.  45  2298--2320  (2007)

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

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

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

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

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

  • 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)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  • The analysis and improvement on infinite element algorithms
J. Xu and L. Ying
Chinese J. Numer. Math & Appl.  10  71-82  (1988)

  • Analysis and improvement of algorithms for the infinite element method
J. Xu and L. A. Ying
Math. Numer. Sinica  8  164--174  (1986)

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

  • 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)

  • 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)


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

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

P. Sun and L. Chen and J. Xu
J. Sci. Comput.  43  24--43  (2010)
L. Zhong and S. Shu and L. Chen and J. Xu
Numer. Linear Algebra Appl.  17  415--432  (2010)

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

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

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

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

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

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

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

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

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

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

  • Complex Fluids 

Y.-J. Lee and J. Xu and C.-S. Zhang
Handbook of Numerical Analysis  16  371-433  (2011)

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


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

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

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

  • Reservoir Simulation

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


  • Fuel Cell

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

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

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

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

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

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

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

  • Other Applications

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

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

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

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

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

J. Wu and J. Xu
      (2002)

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)

  • Miscellaneous

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

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

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

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

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

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

R. E. Bank and J. Xu
  49  1--13  (1995)

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

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