Below is a list of publications of Xue-Cheng Tai. Click on a marked area to obtain a postscript version or a dvi file of a paper. The dvi files do not contain figures. A few of the references do not have ready dvi and psfiles. Here is a list in Bibtex format.

Journal Publications

1. Xue-Cheng Tai

Parallel function and space decomposition methods -- Part I. Function decomposition
Beijing Mathematics. vol.1, part 2, pp. 104--134, 1995.
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2. Xue-Cheng Tai.

Parallel function and space decomposition methods -- Part II. Space decomposition.
Beijing Mathematics. vol.1, part 2, pp. 135--152, 1995.
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3. X.-C. Tai and M. Espedal

Rate of convergence of some space decomposition methods for linear and nonlinear problems.
SIAM J. Numer. Anal., vol. 35, no. 4, pp. 1558--1570, 1998.
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4. X.-C. Tai

A space decomposition method for parabolic problems.
Numer. Method for Part. Diff. Equat., vol. 14, no.1, pp. 27--46, 1998 and Report No. 106, Department of Mathematics, University of Bergen, 1997.
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5. M. Espedal, X.-C. Tai and N. Yan

A hybrid domain decomposition method for advection-diffusion problems.
Numerical Algorithms, vol. 18, 1998, pp. 321--336.
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6. X.-C. Tai and M. Espedal

Applications of a space decomposition method to linear and nonlinear elliptic problems.
Numer. Meth for Part. Diff. Equat., vol. 14, pp. 717--737, 1998.
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7. X.-C. Tai and J. Xu

Global convergence of subspace correction methods for convex optimization problems
Accepted and to appear in Math. Comp.
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8. O. Rognes and X.-C. Tai

Subspace correction methods for nonsymmetric parabolic problems
Accepted and to appear Linear Algebra and its Applications
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9. X.-C. Tai and P. Tseng

Convergence rate analysis of an asynchronous space decomposition method for convex minimization
Accepted and to appear in Math. Comp.
Report No. 120, Department of Mathematics, University of Bergen, August, 1998.
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10. Xue-Cheng Tai

Convergence rate analysis of domain decomposition methods for obstacle problems,
Accepted and to appear in: East-West J. Numer. Anal.. Also as Report-124, Department of Mathematics, University of Bergen, January, 1999.
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Proceedings and preprints

1. X.-C. Tai

Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition.
in "Domain decomposition methods in scientific and engineering computing (Proc. of the 7th international conference on domain decomposition, Penn. State University, 1993)", D. Keyes and J. Xu eds, American Mathematical Society, 1995, pp. 355-360.
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2. X.-C. Tai

Parallel function and space decomposition methods.
In "The Finite element Method: Fifty years of the Courant Element", lecture notes in pure and applied mathematics, vol. 164, pp. 421--432, 1994, Marcel Dekker.
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3. X-C Tai, T. O. W. Johansen, H. K. Dahle, M. S. Espedal

A characteristic domain splitting method.
In "Domain decomposition methods in science and engineering, 8th international conference, Beijing, China, (R. Glowinski, J. Periaux, Z.-C. Shi and O. Widlund eds)", 1997, pp. 308--317, John Wiley and Sons, England.
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4. X.-C. Tai and M. Espedal

A space decomposition method for minimization problems
In "Domain decomposition methods in science and engineering (P. Bjorstad, M. Espedal and D. Keyes eds)", 9th international conference Bergen, Norway, published by ddm.org, 1998, pp. 509--516.
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5. K. Kunisch and X.-C. Tai

Nonoverlapping Domain Decomposition Methods for Inverse Problems
In "Domain decomposition methods in science and engineering (P. Bjorstad, M. Espedal and D. Keyes eds)", 9th international conference Bergen, Norway, published by ddm.org, 1998, pp. 517--524.
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6. H. K. Dahle, T. O. Johansen, T. Bone and X.-C. Tai

A characteristic domain decomposition method for modelling the flow in a coastal aquifer.
In "Domain decomposition methods in science and engineering (P. Bjorstad, M. Espedal and D. Keyes eds)", 9th international conference Bergen, Norway, published by ddm.org, 1998, pp. 698--705.
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7. M. Espedal, X.-C. Tai and N. Yan

A Hybrid Domain Decomposition Method For Convection Dominated Problems
In "Domain decomposition methods in science and engineering (P. Bjorstad, M. Espedal and D. Keyes eds)", 9th international conference Bergen, Norway, published by ddm.org, 1998, pp. 230--236.
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8. X.-C. Tai

Parallel function decomposition methods and numerical applications
In "Iterative methods in scientific computation", J. Wang, M. B. Allen, B. M. Chen and T. Mathew eds, IMACS, Series in Compputational and Allped Mathematics, vol. 4, 1998, pp. 231-238. And also Report No. 111, Department of Mathematics, University of Bergen, 1997.
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9. X.-C. Tai, J. Froyen, M. S. Espedal and T. F. Chan

Overlapping domain decomposition and multigrid methods for inverse problems
In "Domain decomposition method 10, the tenth international conference on domain decomposition methods, August 10-14, 1997, Boulder", J. Mandel, C. Farhat and X. Cai eds, Contemporary Mathematics vol. 218, American Mathematical Society, 1998, pp. 523--529; and Report No. 113, Department of Mathematics, University of Bergen, 1997.
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10. X.-C. Tai and J. Xu

Global convergence of subspace correction methods for convex optimization problems
Report No. 114, Department of Mathematics, University of Bergen, 1998.
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11. X.-C. Tai and J. Xu

Subspace correction methods for convex optimization problems,
In "Domain decomposition methods in sciences and engineering, 11th international conference, London, UK", C. Lai, P. E. Bjorstad and O. B. Widlunc eds, Domain decomposition Press, Bergen, Norway, p. 128--137, 1999.
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12. X.-C. Tai and P. Tseng,

An asynchronous space decomposition method,
In "Domain decomposition methods in sciences and engineering, 11th international conference, London, UK", C. LKai, P. E. Bjorstad and O. B. Widlunc eds, Domain decomposition Press, Bergen, Norway, p. 343--353, 1999.
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13. Xue-Cheng Tai

Rate of convergence for subspace correction methods for nonlinear variational inequalities,
Report-130, Department of Mathematics, University of Bergen, September, 1999.
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14. Xue-Cheng Tai and Junping Wang

Superconvergence for the gradient of finite element approximations by least-squares surface fitting, preprint, 2000.
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15. Xue-Cheng Tai

Rate of convergence for some constraint decomposition methods for nonlinear variational inequalities,
report-150, Department of Mathematcis, University of Bergen, 2000.
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16. K. A. Mardal and X.-C. Tai and R. Winther

A robust finite element method for Darcy-stokes flow,
report-154, Department of Mathematics, University of Bergen, 2001.
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