Publications in peer-reviewed Journals

  • Composition operators on $F$-algebra $N\sb p$ and $N\sp *\sb p$, Lijian Jiang, Pure Appl.Math.17(2001), no.3, 256-260.

  • Composition operator on Bers-type spaces, Weixiang He, Lijian Jiang, Acta Math. Sci. Ser. B 3 (2002), 404-412.

  • Bers-type spaces and composition operators, Lijian Jiang, Yezhou Li, Northeast. Math. J. 18 (2002), no. 3, 223-232.

  • Composition operators from $B\sp \alpha$ to $F(p,q,s)$, Lijian Jiang, Yuzan He, Acta Math. Sci. Ser.B 23 (2003), no.2, 252-260.

  • Individual homogenization of nonlinear parabolic operators, Y. Efendiev, L.Jiang, and A. Pankov, App. Anal., Vol.85 (2006), no.12, 1433-1457. PDF

  • Multiscale methods for parabolic equations with continuum spatial scales, L. Jiang, Y. Efendiev, and V. Ginting, Discrete and Continuous Dynamical Systems - Ser. B, Vol.8 (2007), no.4, 833-859. PDF

  • Mixed multiscale finite element methods using limited global information, J. Aarnes, Y. Efendiev, L. Jiang, SIAM, Multiscale Modeling and Simulation, 7 (2) (2008), 655--676 PDF

  • An analysis of 4D variational data assimilation and its application, Lijian Jiang, Craig C. Douglas, Computing, 84 (2009), 97--120 PDF

  • Mixed multiscale finite element methods on adaptive unstructured grids using limited global information, J. Aarnes, Y. Efendiev, T. Y. Hou and L. Jiang, in ''Multiscale Methods Bridging the Scales in Science and Engeering'' (editor, Jacob Fish), Oxford University Press, 2009, 3--30.

  • Mixed multiscale finite element methods using approximate global information based on partial upscaling, L. Jiang, Y. Efendiev and I. Mishev, Computational Geosciences 14 (2010), 319--341. PDF

  • Some multiscale results using limited global information for two-phase flow simulations, J. Aarnes, Y. Efendiev, L.Jiang, International Journal of Numerical Analysis and Modeling, 9 (2012) 115--131.

  • Analysis of global multiscale finite element methods for wave equations with continuum spatial scales, L. Jiang, Y. Efendiev, V. Ginting, Applied Numerical Mathematics, 60 (2010), 862--876. PDF

  • Stochastic mixed multiscale finite element methods and their applications in random porous media, L. Jiang, I. Mishev and Y. Li, Computer methods in applied mechanics and engineering, 199 (2010), 2721--2740.

  • A priori estimates for two multiscale finite element methods using multiple global fields to wave equations, L. jiang and Y. Efendiev, Numerical Methods for PDEs, 2011, DOI: 10.1002/num.20706 PDF

  • A mixed multiscale finite volume method for elliptic problems in two-phase flow simulations, L. Jiang and I. Mishev, Communications in Computational Physics, 11 (2012), pp. 19--47 PDF

  • Analysis of stochastic mimetic finite difference methods and their applications in single-phase stochastic flows, L. Jiang, J. D. Moulton, D. Svyatskiy, Computer methods in applied mechanics and engineering, DOI: 10.1016/j.cma.2011. 12.007.

  • Expanded mixed multiscale finite element methods and their applications in porous media, L. Jiang, D. Copeland, J. D. Moulton, to appear in SIAM MMS, 36 pages PDF

  • A resourceful splitting technqiue with applications to deterministic and stochastic multiscale finite element methods, L. Jiang and M. Presho, submitted to SIAM MMS, 30 pages.

  • An iterative upscaling method with applications to stochastic fields, L. Jiang and X. He, submitted to M3AS, 25 pages.

    Publications in peer-reviewed Proceedings

  • Analysis of an operator splitting method in 4D-Var, Lijian Jiang and Craig C. Douglas, Discrete and Continuous Dynamic Systems-Supplements, Vol. 2009, 394-403.

  • Mixed MsFEM analysis for wave equations using global information, L. Jiang and Y. Efendiev, Domain Decomposition Methods in Science and Engineering, LNCSE,78(2011),181--188.

  • Mixed MsFV method for reservoir simulation in porous media with non-local features, I. Mishev and L. Jiang, 2011, SPE 141289-MS, Doi: 10.2118/141289-MS PDF

    Patent Publication

  • Method and System For Finite Volume Simulation of Flow, Ilya Mishev, Olivier Dubois and Lijian Jiang, International Publication Number WO/2011/136861.