Yalchin Efendiev
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Professor Texas A&M University, USA 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:
- Y. Efendiev, Hardness of the elastic medium when a solid is turned in it , V-Mosk-Mekh (6), pp. 76-78 (1994)
- A. Yu. Beliaev and Y. Efendiev, Homogenization of the Stokes equations with random potential, Math. Notes, v59 (3-4), pp. 361-372 (1996)
- Y. Efendiev, T. Hou, X. Wu, Convergence of a nonconformal multiscale finite element method, SIAM in J. Num. Anal. 37, 888-910 (2000)
- Y. Efendiev and X.H. Wu, Multiscale finite element methods for the problems with highly oscillatory coefficients, Numerische Math., vol.90(3), 2002
- Y. Efendiev and M. Luskin, Stability of microstructures for some martensitic transformations, Mathematical and Computer Modelling, v.34 (2001), pp. 1289-1305
- 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)
- 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
- Efendiev and L. Durlofsky, Numerical Modeling of Subgrid Heterogeneity in Two Phase Flow Simulations, Water. Resour. Res., 38(8), 1128, 2002
- 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)
- 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)
- 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
- 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
- Y. Efendiev and L. Durlofsky, A generalized convection-diffusion model for subgrid transport in porous media, SIAM MMS, vol.1(3), pp.504-526
- Y. Efendiev and A. Pankov, Numerical homogenization of monotone operators, SIAM MMS, vol.2 (1), pp.,62-79, 2004
- Y. Efendiev and A. Pankov, Numerical homogenization of nonlinear random parabolic operators, SIAM MMS 2(2), 2004, pp.237-268
- Y. Efendiev and L. Durlofsky, Accurate subgrid models for two phase flow in heterogeneous reservoirs, SPE Journal, 9, 219-226 , 2004
- Y. Efendiev and A. Pankov, Numerical homogenization and correctors for random nonlinear elliptic equations, SIAM J. Applied Math., 65 (1), 43-68
- 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
- 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
- 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
- Y. Efendiev, T. Hou and V. Ginting, Multiscale finite element methods for nonlinear partial differential equations, Comm. Math. Sci., 2(4), 2004
- Y. Efendiev and A. Pankov, On homogenization of almost periodic nonlinear parabolic operators, International Journal of Evolution Equations, volume 1 (3), 2005
- 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
- Y. Efendiev and A. Pankov, Homogenization of nonlinear random parabolic operators, Advances in Differential Equations, vol. 10,Number 11, 2005, pp., 1235-1260
- 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
- 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
- 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
- Y. Efendiev, T. Hou, and W. Luo, “Preconditioning of MCMC simulations using coarse-scale models”, SIAM. Sci. Comp. 28(2), pp. 776-803
- 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
- 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
- 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
- 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
- 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
- Y. Efendiev, L. Jiang, and A. Pankov, Individual homogenization of nonlinear parabolic operators, Applicable Analysis Vol. 85, No. 12, 2006, 1433-1457
- Y. Efendiev and T. Hou, Multiscale finite element methods for porous media flows and their applications, Applied Numerical Mathematics, 57 (2007), pp. 577-596
- 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.
- 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
- 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
- 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
- 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.
- 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
- 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
- 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.
- Efendiev, Y., Datta-Gupta, A., Ma Xilian and Mallick, B, “Modified MCMC for Dynamic Data Integration Using Streamline Models,” Mathematical Geology, 2007.
- 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
- 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.
- 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.
- 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
- 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.
- 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.
- 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
- 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
- E. Chung and Y. Efendiev, Some multiscale methods for elliptic equations in high-contrast heterogeneous media, SIAM MMS , 8, 2010, pp. 1126-1153
- 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
- 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
- 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
- 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.
- 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.
- 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
- 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
- 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,
- 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
- Y. Efendiev, J. Galvis, and P. Vassilievski, Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients, DD19 Proceeding, 2009.
- 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)
- 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
- 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)
- 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
- Y. Efendiev and L. Truskinovsky, Thermalization of a driven bi-stable FPU chain, Continuum Mech. Thermodyn. (2010), 22:679-698
- 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
- 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.
- G. Chatzigeorgiou, Y. Efendiev, D. Lagoudas, Homogenization of aligned fuzzy fiber composites, International Journal of Solids and Structures, 48(19), 2011, 2668-2680
- 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
- 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
- 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.
- 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
- 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
- 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
- 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
- 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
- A. Mondal, B. Mallick, Y. Efendiev, Bayesian uncertainty quantification for subsurface inversion using multiscale hierarchical models
- 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
- 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)
- 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
- Y. Efendiev, J. Galvis, S. Pauletti, Multiscale finite element methods on rough surfaces, COMMUNICATIONS IN COMPUTATIONAL PHYSICS 14 (4), 979-1000
- V. Calo, Y. Efendiev, J. Galvis, Asymptotic expansion for high-contrast elliptic equations, Mathematical Models and Methods in Applied Sciences 24 (03), 465-494
- Y. Efendiev, J. Galvis, P. Vassilevski, Multiscale spectral AMGe solvers for high-contrast flow problems, submitted
- 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
- 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
- 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
- Y. Efendiev, C. Kronsbein, F. Legoll, Multi-level Monte Carlo approaches for numerical homogenization, submitted to SIAM MMS (arXiv:1301.2798)
- 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
- 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
- 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
- R. Gibson, K. Gao, E. Chung, Y. Efendiev, Multiscale modeling of acoustic wace propagation in two-dimensional media. Geophysics 79 (2), T61-T75
- Y. Efendiev, J. Galvis, M. Presho, G. Li. Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations, Commun. Comput. Phys., 15 (2014), pp. 733-755
- 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.
- 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
- 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.
- 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
- E. Chung, Y. Efendiev, C. Lee, Mixed Generalized Finite Element Methods and Applications, submitted (arXiv:1406.0950)
- Eric Chung, Yalchin Efendiev and Wing Tat Leung. Generalized multiscale finite element method for wave propagation in heterogeneous media, submitted (arXiv:1307.0123)
- 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.
- 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)
- 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)
- E Aulisa, L Bloshanskaya, Y Efendiev, A Ibragimov, Upscaling of Forchheimer flows, Advances in Water Resources 70, 77-88
- 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
- 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
- ET Chung, Y Efendiev, G Li, An adaptive GMsFEM for high-contrast flow problems, Journal of Computational Physics 273, 54-76
- DL Brown, P Popov, Y Efendiev, Effective equations for fluid-structure interaction with applications to poroelasticity, Applicable Analysis 93 (4), 771-790
- Y Efendiev, O Iliev, PS Vassilevski, Mini-Workshop: Numerical Upscaling for Media with Deterministic and Stochastic Heterogeneity, Oberwolfach Reports 10 (1), 393-431
- 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
- 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)
- 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)
- 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
- 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
- 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)
- E. Chung, Y. Efendiev, S. Fu, Generalized Multiscale Finite Element Method for Elasticity Equations, submitted. (http://arxiv.org/abs/1408.5929)
- V. Calo, Y. Efendiev, J. Galvis, G. Li, Randomized Oversampling for Generalized Multiscale Finite Element Methods, submitted (arxiv.org/abs/1409.7114)
- 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)
- Eric T. Chung, Yalchin Efendiev, Wing Tat Leung, Residual-driven online Generalized Multiscale Finite Element Methods, arXiv:1501.04565, submitted
- Eric T. Chung, Yalchin Efendiev, Guanglian Li, Maria Vasilyeva, Generalized Multiscale Finite Element Methods for problems in perforated heterogeneous domains, arXiv:1501.03536, submitted
- E. Chung, Y. Efendiev, T. Leung, G. Li, Sparse Generalized Multiscale Finite Element Methods and their applications, to appear, arXiv preprint arXiv:1506.08509
- H.Y. Chan, E. Chung, Y. Efendiev, Adaptive mixed GMsFEM for flows in heterogeneous media, submitted, arXiv:1507.01659
- 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
- H Bessaih, Y Efendiev, F Maris, Homogenization of Brinkman flows in heterogeneous dynamic media, arXiv preprint arXiv:1504.04845
- ET Chung, Y Efendiev, WT Leung, An online generalized multiscale discontinuous Galerkin method (GMsDGM) for flows in heterogeneous media, arXiv preprint arXiv:1504.04417
- 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
- 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:
- 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.
- 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)
- 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
- 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
- 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.
- 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
- 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
- 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
- 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.
- 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.