Yalchin Efendiev

  Professor
Texas A&M University, USA

Google Scholar

E-mail: efendiev@math.tamu.edu

Education:

Ph.D., Applied Mathematics, Caltech, Pasadena, CA,  USA, 1999
Advisor: Professor Tom Hou
B.S., Moscow State University, Moscow, Russia, 1993

Publications:

    1. Y. Efendiev, Hardness of the elastic medium when a solid is turned in it , V-Mosk-Mekh (6), pp. 76-78 (1994)
    2. A. Yu. Beliaev and Y. Efendiev, Homogenization of the Stokes equations with random potential, Math. Notes, v59 (3-4), pp. 361-372 (1996)
    3. Y. Efendiev, T. Hou, X. Wu, Convergence of a nonconformal multiscale finite element method, SIAM in J. Num. Anal. 37, 888-910 (2000)
    4. Y. Efendiev and X.H. Wu, Multiscale finite element methods for the problems with highly oscillatory coefficients, Numerische Math., vol.90(3), 2002
    5. Y. Efendiev and M. Luskin, Stability of microstructures for some martensitic transformations, Mathematical and Computer Modelling, v.34 (2001), pp. 1289-1305
    6. Y. Efendiev and M. R. Zachariah, A model for two component aerosol coagulation and phase separation: A method for changing the growth of nanoparticles, Chemical Engineering Science. 56, 5763 ( 2001)
    7. Y. Efendiev, L. Durlofsky, and S. Lee, Modeling of subgrid effects in coarse-scale simulations of transport in heterogeneous porous media, Water Resources Research, 36(8),2000, 2031-2041
    8. Efendiev and L. Durlofsky, Numerical Modeling of Subgrid Heterogeneity in Two Phase Flow Simulations, Water. Resour. Res., 38(8), 1128, 2002
    9. Y. Efendiev and M.R. Zachariah, Hybrid Monte-Carlo method for simulation of two-component aerosol coagulation and phase segregation, J. Colloid and Interface Science 249(1), 30-43 (2002)
    10. Y. Efendiev, H. Struchtrup, M. Luskin, M. R. Zachariah, A hybrid sectional-moment model for coagulation and phase segregation inbinary liquid nanodroplets, J. Nanoparticle Research 4, 61-72 (2002)
    11. Y. Efendiev and M. Zachariah, Hierarchical hybrid Monte-Carlo method for simulation of two-component aerosol nucleation, coagulation and phase segregation, J. Aerosol Sci. 34 (2003), 169-188
    12. X.H. Wu, Y. Efendiev, T. Hou, Analysis of upscaling absolute permeability, Discrete and Continuous Dynamical Systems – Series B, Vol. 2(2), 2002, pp. 185-204
    13. Y. Efendiev and L. Durlofsky, A generalized convection-diffusion model for subgrid transport in porous media, SIAM MMS, vol.1(3), pp.504-526
    14. Y. Efendiev and A. Pankov, Numerical homogenization of monotone operators, SIAM MMS, vol.2 (1), pp.,62-79, 2004
    15. Y. Efendiev and A. Pankov, Numerical homogenization of nonlinear random parabolic operators, SIAM MMS 2(2), 2004, pp.237-268
    16. Y. Efendiev and L. Durlofsky, Accurate subgrid models for two phase flow in heterogeneous reservoirs, SPE Journal, 9, 219-226 , 2004
    17. Y. Efendiev and A. Pankov, Numerical homogenization and correctors for random nonlinear elliptic equations, SIAM J. Applied Math., 65 (1), 43-68
    18. Y. Efendiev, “Mathematical Modeling and Simulation of multi-component aerosol coagulation”, Journal of Computational and Applied Mathematics, vol. 23, 2-3, pp. 401-423, 2004
    19. Y. Efendiev, A. Datta-Gupta, I. Osako, and B. Mallick, Multiscale data integration using coarse-scale models, Advances in Water Resources, 28 (3), pp. 3-3-314, 2004
    20. V. Ginting, R. Ewing, Y. Efendiev and R. Lazarov, Upscaled Modeling in Multiphase Flow Applications, Journal of Computational and Applied Mathematics. vol. 23, 2-3, pp.213-233, 2004
    21. Y. Efendiev, T. Hou and V. Ginting, Multiscale finite element methods for nonlinear partial differential equations, Comm. Math. Sci., 2(4), 2004
    22. Y. Efendiev and A. Pankov, On homogenization of almost periodic nonlinear parabolic operators, International Journal of Evolution Equations, volume 1 (3), 2005
    23. Y. Efendiev and B. Popov, “On homogenization of nonlinear hyperbolic equations”, to appear in Communications on Pure and Applied Analysis, 4(2), 2005, pp. 295-309
    24. Y. Efendiev and A. Pankov, Homogenization of nonlinear random parabolic operators, Advances in Differential Equations, vol. 10,Number 11, 2005, pp., 1235-1260
    25. Y. Efendiev and A. Pankov, “Meyers type estimates for nonlinear elliptic equations and their applications”, Discrete and Continuous Dynamical Systems – B, vol. 6, number 3, 2006, pp. 481-492
    26. Efendiev, A. Datta-Gupta, V. Ginting, X. Ma and B. Mallick, An efficient two-stage Markov chain Monte Carlo methods for dynamic data integration, Water Resources Research , 41, W12423, doi:=10.1029/2004WR003764
    27. J. Eberhard, Y. Efendiev, R. Ewing, A. Cunningham, Coupled cellular models for biofilm growth and hydrodynamic flow in a pipe, International Journal of Multiscale Engineering, vol. 3, issue 4, 2005, pp. 499-516
    28. Y. Efendiev, T. Hou, and W. Luo, “Preconditioning of MCMC simulations using coarse-scale models”, SIAM. Sci. Comp. 28(2), pp. 776-803
    29. Y. Efendiev, V. Ginting, T. Hou and R. Ewing, “Accurate multiscale finite element methods for two-phase flow simulations”, J. Comp. Physics, 220 (1), pp. 155-174, 2006
    30. P. Dostert, Y. Efendiev, T. Hou and W. Luo, Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification, Journal of Computational Physics, 217(1), pp.123-142
    31. L. Durlofsky, Y. Efendiev, V. Ginting, An adaptive local-global multiscale finite volume element method for two-phase flow simulations, Advances in Water Resources, 30 (2007) pp.576-588
    32. J. Santos, Y. Efendiev, L. Guarracino, Hydraulic Conductivity estimation in variable saturated soils using the adjoint method, Computer Methods in Applied Mechanics and Engineering, 196 (2006), no. 1-3, 161–179
    33. J. Aarnes and Y. Efendiev, An adaptive multiscale method for simulation of fluid flow in heterogeneous porous media, SIAM MMS, Vol.5 (30), pp. 918-939
    34. Y. Efendiev, L. Jiang, and A. Pankov, Individual homogenization of nonlinear parabolic operators, Applicable Analysis Vol. 85, No. 12, 2006, 1433-1457
    35. Y. Efendiev and T. Hou, Multiscale finite element methods for porous media flows and their applications, Applied Numerical Mathematics, 57 (2007), pp. 577-596
    36. C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, Dynamic data driven simulations in stochastic environments, Computing, 77 (2006), no.4, pp. 321-333.
    37. Y. Efendiev and A. Pankov, Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications, Journal of Numerical Mathematics, Volume 13, Number 2 / June, 2005, pp. 105-118
    38. L. Jiang, Y. Efendiev, V. Ginting, Multiscale methods for parabolic equations with continuum spatial scales. Discrete Contin. Dyn. Syst. Ser. B 8 (2007), no. 4, 833–859
    39. J. E. Aarnes, V. L. Hauge, and Y. Efendiev. Coarsening of three-dimensional structured and unstructured grids for subsurface flow. Advances in Water Resources, Vol. 30, Issue 11, November 2007, pp. 2177-2193. DOI: 10.1016/j.advwatres.2007.04.007
    40. J.E. Aarnes and Y. Efendiev. Mixed multiscale finite element for stochastic porous media flows. SIAM Sci. Comp., Volume 30, Issue 5, pp. 2319-2339, 2008. DOI: 10.1137/07070108X.
    41. J. E. Aarnes, Y. Efendiev, and L. Jiang. Mixed multiscale finite element methods using limited global information. Multiscale Modelling and Simulation, Volume 7, Issue 2, pp. 655-676, 2008. DOI: 10.1137/07068848
    42. J.E. Aarnes and Y. Efendiev. A multiscale method for modeling transport in porous media on unstructured corner-point grids. Journal of Algorithms and Computational Technology, Volume 2, Number 2, pp. 299-318, 2008. DOI: 10.1260/17483010878464661
    43. Ma, X., Al-Harbi, M., Datta-Gupta, A. and Efendiev, Y. “A Multistage Sampling Approach to Quantifying Uncertainty During History Matching Geological Models,” SPE Journal, 13(10) (March, 2008), 77-87.
    44. Efendiev, Y., Datta-Gupta, A., Ma Xilian and Mallick, B, “Modified MCMC for Dynamic Data Integration Using Streamline Models,” Mathematical Geology, 2007.
    45. P. Dostert, Y. Efendiev, and T. Hou, Multiscale finite element methods for stochastic porous media flow equations and application to uncertainty quantification, Comput. Methods Appl. Mech. Engrg. 197 (2008), no. 43-44, 3445–3455
    46. Das, N. N., B. P. Mohanty, and Y. Efendiev, Characterization of Saturated Hydraulic Conductivity in an Agricultural Field Using Karhunen-Loeve Expansion and MCMC, Water Resour. Res., under revision.
    47. Efendiev, Y.; Hou, T.; Strinopoulos, T. Multiscale simulations of porous media flows in flow-based coordinate system. Comput. Geosci. 12 (2008), no. 3, 257–272.
    48. L. Jiang, Y. Efendiev, V. Ginting, Analysis of global multiscale finite element methods for wave equations with continuum spatial scales, Applied Numerical Mathematics, 60 (2010), 862–876
    49. Das, N. N., B. P. Mohanty, and Y. Efendiev, A New Multiscale Data Assimilation Algorithm to Downscale Satellite-Based Soil Moisture Data, Water Resour. Res., Submitted.
    50. Y. Efendiev, A. Datta-Gupta, X. Ma, B. Mallick, An Efficient Two-Stage Markov Chain Monte Carlo Method for Dynamic Data Integration, Water Resources Research, 41, W12423, 10.1029/2004WR003764, Dec. 2005.
    51. Y. Efendiev, L. Jiang, and I. Mishev, Mixed Multiscale Finite Element Methods Using Approximate Global Information Based on Partial Upscaling, Comp. Geo.14 (2010), 319–341
    52. Ewing, Richard; Efendiev, Yalchin; Ginting, Victor; Wang, Hong Upscaling of transport equations for multiphase and multicomponent flows. Domain decomposition methods in science and engineering XVII, 193–200, Lect. Notes Comput. Sci. Eng., 60, Springer, Berlin, 2008
    53. E. Chung and Y. Efendiev, Some multiscale methods for elliptic equations in high-contrast heterogeneous media, SIAM MMS , 8, 2010, pp. 1126-1153
    54. P. Popov, Y. Efendiev, Y. Gorb, Multiscale Modeling and Simulation of Fuid Flows in Highly Deformable Porous Media, Proceeding of 7-th Conference on Large-Scale Scientific Computing, Sozopol, Bulgaria, Eds. Lirkov, I., and Margenov, S., and Wasniewski, J., pp. 148-156, 2010
    55. Mondal, A.; Efendiev, Y.; Mallick, B.; and Datta-Gupta, A. Bayesian Uncertainty Quantification for Flows in Heterogeneous Porous Media Using Reversible Jump Markov Chain Monte Carlo Methods, Advances in Water Resources, 33(3), pg., 241-256
    56. Y. Efendiev, J. Galvis, R. Lazarov, S. Margenov and J. Ren, Multiscale domain decomposition preconditioners for anisotropic high-contrast problemsEfendiev, Yalchin; Xiu, Dongbin Preface [Special issue—Mathematical and computational aspects of multi-scale problems]. J. Algorithms Comput. Technol. 2 (2008), no. 2, i, 65-06
    57. P. Popov, G. Qin, L. Bi, Y. Efendiev, Z. Kang, and J. Li, Multiphysics and Multiscale Methods for Modeling Fluid Flow Through Naturally Fractured Carbonate Karst Reservoirs, SPE Reservoir Evaluation & Engineering, 12(2):218–231, 2009.
    58. P. Popov, Y. Efendiev, G. Qin, Multiscale Modeling and Simulations of Flows in Naturally Fractured Karst Reservoirs , Communications in Computational Physics, 6: 162-184, 2009.
    59. Y. Efendiev, J. Galvis, and Wu, X. Multiscale finite element methods for high-contrast problems using local spectral basis functions, Journal of Computational Physics doi:10.1016/j.jcp.2010.09.026
    60. L. Bi, G. Qin, P. Popov, Y. Efendiev, M. Espedal, An Efficient Upscaling Process Based on a Unified Fine-scale Multi-Physics Model for Flow Simulation in Naturally Fracture Carbonate Karst Reservoirs, 125593-MS SPE Conference Paper – 2009
    61. Achi Brandt, Yalchin Efendiev and Oleg Iliev, Numerical Upscaling for Flow Problems: Theory and Applications. Abstracts from the mini-workshop held March 1–7, 2009. Oberwolfach Reports. Vol. 6, no. 1. Oberwolfach Rep. 6 (2009), no. 1, 681–723,
    62. Y. Efendiev and J. Galvis, Enriching coarse spaces with local multiscale basis functions for high-contrast flow problems. Robust domain decomposition preconditioners and multiscale finite element methods, DD19 Proceeding, 2009
    63. Y. Efendiev, J. Galvis, and P. Vassilievski, Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients, DD19 Proceeding, 2009.
    64. J. Galvis and Y. Efendiev, Domain decomposition preconditioners for multiscale flows in high-contrast media:, SIAM MMS, Volume 8, Issue 4, pp. 1461-1483 (2010)
    65. S. Akella, Y. Efendiev, and A. Datta-Gupta, Ensemble Kalman Filter with Coarse-scale Constraints, International Journal for Uncertainty Quantification, Issue 1 (1), 2010, pp. 49-76
    66. J. Galvis and Y. Efendiev, Domain decomposition preconditioners for multiscale flows in high-contrast media: Reduced dimension coarse spaces, SIAM MMS, Volume 8, Issue 5, pp. 1621-1644 (2010)
    67. E. Chung, Y. Efendiev, R. Gibson, An energy-conserving discontinuous multiscale finite element method for wave equation in heterogeneous media, Advances in Adaptive Data Analysis, 3(2011), pp. 251-268
    68. Y. Efendiev and L. Truskinovsky, Thermalization of a driven bi-stable FPU chain, Continuum Mech. Thermodyn. (2010), 22:679-698
    69. Y. Efendiev and J. Galvis, Coarse-Grid Multiscale Model Reduction Techniques for Flows in HeterogeneousMedia and Applications, Numerical Analysis of Multiscale Problems, Eds: I.G. Graham, T.Y.-Hou, O. Lakkis and R. Scheichl, Springer LNCSE 83, September 2011, ISBN 978-3-642-22060-9
    70. Y. Efendiev, J. Galvis, S. Ki Kang and R. Lazarov, Robust multiscale domain decomposition method for nonlinear flows in highly heterogeneous media. Numerical Mathematics: Theory , Methods and Applications. To appear.
    71. G. Chatzigeorgiou, Y. Efendiev, D. Lagoudas, Homogenization of aligned fuzzy fiber composites, International Journal of Solids and Structures, 48(19), 2011, 2668-2680
    72. N. Charalambakis, G. Chatzigeorgiou, Y. Efendiev, D. Lagoudas, Effecive behavior of composite structures made of thermoelastic constituents with cylindrical periodicity, Procedia Engineering, 10, 2011, 3602-3607
    73. Y. Efendiev, J. Galvis, R. Lazarov and J. Willems, Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincare Inequalities. Large-Scale Scientific Computing: 8th International Conference, LSSC 2011, Sozopol, Bulgaria
    74. V. Calo, Y. Efendiev, and J. Galvis A note on variational multiscale methods for high-contrast heterogeneous flows with rough source terms. Advances in Water Resources, 34 (9), September 2011, pp. 1177-1185.
    75. D. Brown, P. Popov, Y. Efendiev, On homogenization of Stokes flow in slowly varying media with applications to fluid-structure interaction, GEM- Internation Journal on Geomathematics, 2011, 2:281-305
    76. Y. Efendiev, J. Galvis and E. Gildin, Local-global multiscale model reduction for flows in highly heterogeneous media, J. Comp. Physics, 231 (24) 8100-8113, 2012
    77. Y. Efendiev, J. Galvis, R. Lazarov and J. Willems, Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms, ESAIM: Mathematical Modelling and Numerical Analysis, September 2012, 46, pp. 1175-1199
    78. Y. Efendiev, J. Galvis and F. Thomines, A systematic coarse-scale model reduction technique for parameter-dependent flows in highly heterogeneous media and its applications (RB-MsFEM), SIAM MMS 10(4), 1317-1343, 2012
    79. J. Wei, A. Mondal, A. Datta-Gupta, Y. Efendiev, B. Mallick, Bayesian inversion for channelized reservoirs via reduced dimensional parameterization, submitted to International Journal of Uncertainty Quantification
    80. A. Mondal, B. Mallick, Y. Efendiev, Bayesian uncertainty quantification for subsurface inversion using multiscale hierarchical models
    81. D. Brown, Y. Efendiev, V.H. Hoang, An Effcient Hierarchical Multiscale Finite Element Method for Stokes Equations in Slowly Varying Media. SIAM MMS, 11(1), 30-58
    82. J. Xie, Y. Efendiev, A. Datta-Gupta, Uncertainty Quantification in History Matching of Channelized Reservoirs using Markov Chain Level Set Approaches, SPE Journal, submitted (SPE-141811-MS, SPE Reservoir Simulation Symposium, 21-23 February, The Woodlands, Texas, USA)
    83. G. Chatzigeorgiou, Y. Efendiev, N. Charalambakis, D. Lagoudas, Effective Theormoelastic Properties of Composites with Periodicity in Cylindrical Coordinates. Journal of Solids and Structures, Volume 49, Issue 18, 15 September 2012, Pages 2590–2603
    84. Y. Efendiev, J. Galvis, S. Pauletti, Multiscale finite element methods on rough surfaces, COMMUNICATIONS IN COMPUTATIONAL PHYSICS 14 (4), 979-1000
    85. V. Calo, Y. Efendiev, J. Galvis, Asymptotic expansion for high-contrast elliptic equations, Mathematical Models and Methods in Applied Sciences 24 (03), 465-494
    86. Y. Efendiev, J. Galvis, P. Vassilevski, Multiscale spectral AMGe solvers for high-contrast flow problems, submitted
    87. Y. Efendiev, J. Galvis, R. Lazarov, S. Margenov, J. Ren, Robust two-level domain decomposition preconditioners for high-contrast anisotropic flow in multiscale media, Computational Methods in Applied Mathematics, 12 (4), 1-22, 2012
    88. Y. Chen, Y. Li, Y. Efendiev, Time-of-flight-based two-phase upscaling for subsurface flow and transport, Advances in Water Resources, 54 (2013), 119-132
    89. Y. Efendiev, J. Galvis, T. Hou, Generalized Multiscale Finite Element Method, Journal of Computational Physics, 2013, pp.116-135, 10.1016/j.jcp.2013.04.045
    90. Y. Efendiev, C. Kronsbein, F. Legoll, Multi-level Monte Carlo approaches for numerical homogenization, submitted to SIAM MMS (arXiv:1301.2798)
    91. M. Ghommem, V. Calo, Y. Efendiev, Mode Decomposition Methods for Flows in High-Contrast Porous Media. Part I. Global Approach. Journal of Computational Physics 257, 400-413
    92. M. Ghommem, V. Calo, Y. Efendiev, Mode Decomposition Methods for Flows in High-Contrast Porous Media. Part II. Local-Global Approach. Journal of Computational Physics 253, 226-238
    93. Y. Efendiev, O. Iliev, C. Kronsbein, Multi-level Monte Carlo methods using ensemble level mixed MsFEM for two-phase flow and transport simulations. Computational Geosciences 17 (5), 833-850
    94. R. Gibson, K. Gao, E. Chung, Y. Efendiev, Multiscale modeling of acoustic wace propagation in two-dimensional media. Geophysics 79 (2), T61-T75
    95. Y. Efendiev, J. Galvis, M. Presho, G. Li. Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations, Commun. Comput. Phys., 15 (2014), pp. 733-755
    96. Y. Efendiev, J. Galvis, M. Moon, R. Lazarov, M. Sarkis, Generalized Multiscale Finite Element Method. Symmetric Interior Penalty Coupling. Journal of Computational Physics. Volume 255, 15 December 2013, Pages 1–15.
    97. Y. Efendiev, J. Galvis, G. Li, M. Presho, Generalized Multiscale Finite Elemenet Methods. Oversampling Strategies. To appear in International Journal for Multiscale Computational Engineering (arXiv:1304.4888), DOI: 10.1615/IntJMultCompEng.2014007646
    98. Y. Efendiev, J. Galvis, M. Presho. J. Zhou, A multiscale enrichment procedure for nonlinear monotone operators, ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), / Volume 48 / Issue 02 / March 2014, pp 475-491.
    99. J. Wei, G. Lin, L. Jiang, Y. Efendiev, ANOVA-based Mixed MsFEM and Applications in Stochastic Two-phase flows, DOI: 10.1615/Int.J.UncertaintyQuantification.2014006135
    100. E. Chung, Y. Efendiev, C. Lee, Mixed Generalized Finite Element Methods and Applications, submitted (arXiv:1406.0950)
    101. Eric Chung, Yalchin Efendiev and Wing Tat Leung. Generalized multiscale finite element method for wave propagation in heterogeneous media, submitted (arXiv:1307.0123)
    102. E. T. Chung, Y. Efendiev and G. Li. An adaptive GMsFEM for high contrast flow problems. Journal of Computational Physics, 273 (2014), pp. 54-76.
    103. Yalchin Efendiev, Bangti Jin, Michael Presho, Xiaosi Tan, Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems, to appear in Comm. Comp. Physics (arXiv:1402.5068)
    104. Hakima Bessaih, Yalchin Efendiev, Florian Maris, Homogenization of the evolution Stokes equation in a perforated domain with a stochastic Fourier boundary condition, submitted (arXiv preprint arXiv:1402.6374)
    105. E Aulisa, L Bloshanskaya, Y Efendiev, A Ibragimov, Upscaling of Forchheimer flows, Advances in Water Resources 70, 77-88
    106. Y Efendiev, J Galvis, R Lazarov, S Weißer, Mixed FEM for second order elliptic problems on polygonal meshes with BEM-based spaces, Large-Scale Scientific Computing, 331-338
    107. Y Efendiev, R Lazarov, K Shi, A multiscale HDG method for second order elliptic equations. Part I. Polynomial and homogenization-based multiscale spaces, arXiv preprint arXiv:1310.2827
    108. ET Chung, Y Efendiev, G Li, An adaptive GMsFEM for high-contrast flow problems, Journal of Computational Physics 273, 54-76
    109. DL Brown, P Popov, Y Efendiev, Effective equations for fluid-structure interaction with applications to poroelasticity, Applicable Analysis 93 (4), 771-790
    110. Y Efendiev, O Iliev, PS Vassilevski, Mini-Workshop: Numerical Upscaling for Media with Deterministic and Stochastic Heterogeneity, Oberwolfach Reports 10 (1), 393-431
    111. A Mondal, B Mallick, Y Efendiev, A Datta-Gupta, Bayesian uncertainty quantification for subsurface inversion using a multiscale hierarchical model, Technometrics, Volume 56, Issue 3, 2014, pp. 381-392
    112. M. Alotaibi, V. Calo, Y. Efendiev, J. Galvis, M. Ghommem, Global-Local Nonlinear Model Reduction for Flows in Heterogeneous Porous Media, submitted to CMAME (April 2014) (arXiv:1407.0782)
    113. M. Ghommem, V. Calo, Y. Efendiev, J. Galvis, Multiscale Empirical Interpolation for Solving Nonlinear PDEs using Generalized Multiscale Finite Element Methods, to appear JCP (October 2013)(http://arxiv.org/abs/1407.0103)
    114. K. Gao, E. Chung, R. Gibson, S. Fu, Y. Efendiev, A numerical homogenization method for heterogeneous anisotropic elastic media based on multiscale theory, submitted to Geophysics
    115. K. Gao, E. Chung, R. Gibson, S. Fu, Y. Efendiev, Generalized Multiscale Finite-Element Method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media, submitted, http://arxiv.org/abs/1409.3550
    116. E. Cung, Y. Efendiev, W.T. Leung, An adaptive generalized multiscale discontinuous Galerkin method (GMsDGM) for high-contrast flow problems, submitted, (http://arxiv.org/abs/1409.3474)
    117. E. Chung, Y. Efendiev, S. Fu, Generalized Multiscale Finite Element Method for Elasticity Equations, submitted. (http://arxiv.org/abs/1408.5929)
    118. V. Calo, Y. Efendiev, J. Galvis, G. Li, Randomized Oversampling for Generalized Multiscale Finite Element Methods, submitted (arxiv.org/abs/1409.7114)
    119. Y. Efendiev, R. Lazarov, M. Moon, K. Shi, A Spectral Mutiscale Hybridizable Discontinuous Galerkin Method for Second Order Elliptic Problems, accepted. CMAME (arxiv.org/pdf/1310.2827)
    120. Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Residual-driven online Generalized Multiscale Finite Element Methods, arXiv:1501.04565, submitted
    121. Eric T. Chung, Yalchin Efendiev, Guanglian Li, Maria Vasilyeva, Generalized Multiscale Finite Element Methods for problems in perforated heterogeneous domains, arXiv:1501.03536, submitted
    122. E. Chung, Y. Efendiev, T. Leung, G. Li, Sparse Generalized Multiscale Finite Element Methods and their applications, to appear, arXiv preprint arXiv:1506.08509
    123. H.Y. Chan, E. Chung, Y. Efendiev, Adaptive mixed GMsFEM for flows in heterogeneous media, submitted, arXiv:1507.01659
    124. Y Efendiev, S Lee, G Li, J Yao, N Zhang, Hierarchical multiscale modeling for flows in fractured media using Generalized Multiscale Finite Element Method, arXiv preprint arXiv:1502.03828, to appear in Geomath
    125. H Bessaih, Y Efendiev, F Maris, Homogenization of Brinkman flows in heterogeneous dynamic media, arXiv preprint arXiv:1504.04845
    126. ET Chung, Y Efendiev, WT Leung, An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flows in heterogeneous media, arXiv preprint arXiv:1504.04417
    127. IY Akkutlu, Y Efendiev, V Savatorova, Multi-scale Asymptotic Analysis of Gas Transport in Shale Matrix, Transport in Porous Media 107 (1), 235-260

BOOK

    1. Efendiev, Yalchin; Hou, Thomas Y. Multiscale finite element methods. Theory and applications. Surveys and Tutorials in the Applied Mathematical Sciences, 4. Springer, New York, 2009. xii+234 pp. ISBN:

PROCEEDING PUBLICATIONS:

    1. C. C. Douglas, M. R. Cole, Y. Efendiev, R. Ewing, V. Ginting, G. Jones, C. R. Johnson, R. Lazarov, C. Shannon, and J. Simpson, A note on dynamic data driven application simulation (DDDAS) using virtual telemetry. Appeared in ICPACE 2003, J. Zou and X. Chi (eds.), Chinese University of Hong Kong, 2003, pp. 193-198.
    2. Efendiev, Y., Durlofsky, L.J.: Accurate subgrid models for two phase flow in heterogeneous reservoirs, SPE paper 79680, presented at the SPE Reservoir Simulation Symposium, Houston, Feb. 3-5 (2003)
    3. C. C. Douglas, Y. Efendiev, R. Ewing, R. Lazarov, M. R. Cole, C. R. Johnson, and G. Jones, Virtual telemetry middleware for DDDAS, in Computational Sciences – ICCS 2003, P. M. A. Sllot, D. Abramson, J. J. Dongarra, A. Y. Zomaya, and Yu. E. Gorbachev (eds.), 4 (2003), pp. 279–288
    4. C. C. Douglas, C. Shannon, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, M. R. Cole, G.Jones, C. R. Johnson, and J. Simpson, Telemetry-Driven Application Simulations, Computational Sciences – ICCS 2004
    5. Craig C. Douglas, Yalchin Efendiev, Richard Ewing, Raytcho Lazarov, Martin J. Cole, Greg Jones, Chris R. Johnson, Dynamic Data-Driven Application Simulations. Interpolation and Update, 2006 to Springer as a volume of the NATO Security Through Science¡ Series C Environmental Security. The book is entitled Air, Water and Soil Quality Modelling for Risk and Impact Assessment.
    6. P. Popov, L. Bi, Y. Efendiev, R. Ewing, G. Qin, J. Li, Multi-physics and Multi-scale methods for modeling fluid flows through naturally fractured vuggy carbonate reservoirs, SPE 105378, 15th SPE Middle East Oil \& Gas Show and Conference, Kingdom of Bahrain, 11-14 March, 2007
    7. X. Ma, M. Al-Harbi, A. Datta-Gupta, Y. Efendiev, Multi-stage sampling method for rapid quantification of uncertainty in history matching of geological models, SPE 102476, SPE Annual Conference and Exhibition, San Antonio, 24-27 September 2007
    8. Y. Li, Y. Efendiev, R. E. Ewing, G.Qin, X.H. Wu, An accurate Multiphase Upscaling for Flow and Transport in Heterogeneous Porous Media, SPE 105377-PP, 15th SPE Middle East Oil & Gas Show and Conference, Kingdom of Bahrain, 11-14 March, 2007
    9. Y. Wu, G. Qin, R. Ewing, Y. Efendiev, Z. Kang, Y. Ren, A Multiple-Continuum Approach for Modeling Multiphase Flow in Naturally Fractured Vuggy Petroleum Reservoirs, SPE 104173, 2006 SPE International Oil \& Gas Conference and Exhibition in China held in Beijing, China, 5-7 December 2006.
    10. Efendiev, Yalchin; Hou, Thomas Y. Multiscale computations for flow and transport in heterogeneous media. Quantum transport, 169–248, Lecture Notes in Math., 1946, Springer, Berlin, 2008.

 

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