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Research Interests

Multiscale Methods for Differential Equations
A Posteriori Analysis for Numerical Solution of Differential equations
Finite Element, Finite Volume, Finite Difference Methods
Discontinuous Galerkin Methods
Numerical and Iterative Methods for Differential Equations
Mathematical and Numerical Model for Flow in Porous Media
Uncertainty Quantification

Ph.D. Advisors

Raytcho Lazarov
Yalchin Efendiev

Publications in MathSciNet

Refereed Journals

35. V. GINTING, F. PEREIRA, A. RAHUNANTHAN, A Prefetching Technique for Prediction of Porous Media Flows, Computational Geosciences, (2014).
[abstract ; pdf file]

34. L. BUSH, V. GINTING, M. P.RESHO, Application of a Conservative, Generalized Multiscale Finite Element Method to Flow Models, Journal of Computational and Applied Mathematics, 260 (2014), pp. 395-409.
[abstract ; pdf file]

33. C. BI, V. GINTING, Global Superconvergence and A Posteriori Error Estimates of Finite Element Method for Second-order Quasilinear Elliptic Problems, Journal of Computational and Applied Mathematics, 260 (2014), pp. 78-90.
[abstract ; pdf file]

32. L. BUSH, V. GINTING, On the Application of Continuous Galerkin Finite Element Method for Conservation Problems, SIAM Journal of Scientific Computing, 35-6 (2013), pp. A2953-A2975.
[abstract ; pdf file]

31. J. CHAUDRY, D. ESTEP V. GINTING, S. TAVENER, A Posteriori Analysis of an Iterative Multi-discretization Method for Reaction-diffusion Systems, Computer Methods in Applied Mechanics and Engineering, 267 (2013), pp. 1-22.
[abstract ; pdf file]

30. A. FRANCISCO, V. GINTING, F. PEREIRA, J. RIGELO, Design and Implementation of a Multiscale Mixed Method Based on a Nonoverlapping Domain Decomposition Procedure, to appear in Mathematics and Computers in Simulation, 99 (2014), pp. 125-138.
[abstract ; pdf file]

29. V. GINTING, F. PEREIRA, A. RAHUNANTHAN, Rapid Quantification of Uncertainty in Permeability and Porosity of Oil Reservoirs for Enabling Predictive Simulation, to appear in Mathematics and Computers in Simulation, 99 (2014), pp. 139-152.
[abstract ; pdf file]

28. V. GINTING, F. PEREIRA, A. RAHUNANTHAN, A Multi-Stage Bayesian Prediction Framework for Subsurface Flows, International Journal for Uncertainty Quantification, 3 (2013) no. 6, pp. 499-522.
[abstract ; pdf file]

27. C. BI, V. GINTING, A Posteriori Error Estimates of Discontinuous Galerkin Method for Nonmonotone Quasi-linear Elliptic Problems, Journal of Scientific Computing, 55 (2013) no. 3, pp. 659-687.
[ abstract ; pdf file]

26. D. ESTEP, V. GINTING, S. TAVENER, A Posteriori Analysis of a Multirate Numerical Method for Ordinary Differential Equations, Computer Methods in Applied Mechanics and Engineering, 223 (2012), pp. 10-27.
[ abstract ; pdf file]

25. F. FURTADO, V. GINTING, F. PEREIRA, M. PRESHO, Operator Splitting Multiscale Finite Volume Element Method for Two-Phase Flow with Capillary Pressure, Transport in Porous Media, 90 (2011) no. 3, pp. 927-947.
[ abstract ; pdf file]

24. M. PRESHO, S. WO, V. GINTING, Calibrated Dual Porosity, Dual Permeability Modeling of Fractured Reservoirs, Journal of Petroleum Science and Engineering, 77 (2011) no. 3-4, pp. 326-337.
[ abstract ; pdf file]

23. V. GINTING, F. PEREIRA, M. PRESHO, S. WO, Application of the Two-stage Markov Chain Monte Carlo Method for Characterization of Fractured Reservoirs using a Surrogate Flow Model, Computational Geosciences, 15 (2011) no. 4, pp. 691-707.
[ abstract ; pdf file]

22. C. BI, V. GINTING, Two-grid Discontinuous Galerkin Method for Quasi-Linear Elliptic Problems, Journal of Scientific Computing, 49 (2011), no. 3, pp. 311-331.
[ abstract ; pdf file]

21. C. BI, V. GINTING, Finite Volume Element Method for Second-Order Quasilinear Elliptic Problems, IMA Journal of Numerical Analysis, 31 (2011), pp. 1062-1089.
[ abstract ; pdf file]

20. C. DOUGLAS, Y. EFENDIEV, EWING, V. GINTING, R. LAZAROV, M. COLE, G. JONES, Least Squares Approach for Initial Data Recovery in Dynamic Data-Driven Applications Simulations, Computing and Visualization in Science, 13 (2010) no. 8, pp. 365-375.
[abstract ; pdf file]

19. C. DOUGLAS, F. FURTADO, V. GINTING, M. MENDES, F. PEREIRA, M. PIRI, On the Development of a High Performance Tool for the Simulation of CO2 Injection into Deep Saline Aquifers, to Rocky Mountain Geology, 45 (2010) no. 2, pp. 151-161.
[abstract ; pdf file]

18. M. PRESHO, A. MALQVIST, V. GINTING, Density Estimation of Two-phase Flow with Multiscale and Randomly Perturbed Data, Advances in Water Resources, 33, (2010) no. 9, pp. 1130-1141.
[ abstract ; pdf file]

17. 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) no. 8. pp. 862-876
[ abstract ; pdf file]

16. V. GINTING, A. MALQVIST, M. PRESHO, A Novel Method for Solving Multiscale Elliptic Problems with Randomly Perturbed Data, SIAM Multiscale Modeling and Simulation, 8 (2010) no. 3, pp. 977-996.
[ abstract ; pdf file]

15. C. BI, V. GINTING, A Residual-type A Posteriori Error Estimate of Finite Volume Element Method for A Quasi-Linear Elliptic Problem, Numerische Mathematik, 114 (2009) no. 1, pp. 107-132.
[ abstract ; pdf file]

14. M. PRESHO, V. GINTING, S. WO, The Uncertainty Effects of Deformation Bands on Fluid Flows, Comp. Appl. Math., 28 (2009) no. 3, pp. 291-308.
[ abstract ; pdf file ]

13. D. ESTEP, V. CAREY, V. GINTING, S. TAVENER, T. WILDEY, A Posteriori Error Analysis of Multiscale Operator Decomposition Methods for Multiphysics Models, J. Phys: Conf. Ser., 125 012075 (2008), 16pp.
[ abstract ; pdf file ]

12. J. CHU, Y. EFENDIEV, V. GINTING, T. HOU, Flow Based Oversampling Technique for Multiscale Finite Element Methods, Advances in Water Resources, 31 (2008), no. 4, pp. 599-608.
[ abstract ; pdf file ]

11. D. ESTEP, V. GINTING, D. ROPP, J. SHADID, S. TAVENER, An A Posteriori-A Priori Analysis of Multiscale Operator Splitting, SIAM Journal of Numerical Analysis, 46 (2008), no. 3, pp. 1116-1146.
[ abstract ; pdf file ]

10. C. BI, V. GINTING, Two-Grid Finite Volume Element Method for Linear and Nonlinear Elliptic Problems, Numerische Mathematik, 108 (2007), no. 2, pp. 177-198.
[ abstract ; pdf file ]

9. L. JIANG, Y. EFENDIEV, V. GINTING, Multiscale Methods for Parabolic Equations with Continuum Spatial Scales, Discrete Contin. Dyn. Syst. Ser. B, 2 (2007), no. 4, pp. 833-859.
[ abstract ; pdf file ]

8. 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), no. 3, pp. 576-588.
[ abstract ; pdf file ]

7. C. DOUGLAS, Y. EFENDIEV, R. EWING, V. GINTING, R. LAZAROV, Dynamic Data Driven Simulations in Stochastic Environments, Computing, 77 (2006), pp. 321-332.
[ abstract ; pdf file ]

6. Y. EFENDIEV, V. GINTING, T. HOU, R. EWING, Accurate Multiscale Finite Element Methods for Two-Phase Flow Simulations, J. Comput. Phys., 220 (2006), pp. 155-174.
[ abstract ; pdf file ]

5. Y. EFENDIEV, A. DATTA-GUPTA, V. GINTING, X. MA, B. MALLICK, An Efficient Two-Stage Markov Chain Monte Carlo Method for Dynamic Data Integration, Water Resour. Res., 41, W12423 (2005).
[ abstract ; pdf file ]

4. P. CHATZIPANTELIDIS, V. GINTING, R. LAZAROV, A Finite Volume Element Method for Nonlinear Elliptic Problems, Numer. Linear Algebra Appl., 12 (2005), pp. 515-546.
[ abstract ; pdf file ]

3. Y. EFENDIEV, T. HOU, V. GINTING, Multiscale Finite Element Methods for Nonlinear Problems and Their Applications, Comm. Math. Sci. 2 no. 4 (2004), pp. 553-589.
[ abstract ; pdf file ]

2. V. GINTING, Analysis of Two-Scale Finite Volume Element Method for Elliptic Problem, J. Numer. Math., 12 no. 2 (2004), pp. 119-141.
[ abstract ; pdf file ]

1. V. GINTING, R. EWING, Y. EFENDIEV, AND R. LAZAROV, Upscaled Modeling in Multiphase Flow Applications, Comp. Appl. Math., 23 no. 2-3 (2004), pp. 213-233.
[ abstract ; pdf file ]

Refereed Proceedings

11. P. CHATZIPANTELIDIS, V. GINTING, A Finite Volume Element Method for A Nonlinear Parabolic Problem, Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications, Springer Proceedings in Mathematics and Statistics v. 45 (2013), pp 121-136.
[abstract ; pdf file]

10. V. GINTING, Time Integration Techniques for Richards Equation, Procedia Computer Science, v. 5 (2012), pp. 670-678.
[ abstract ; pdf file ]

9. V. GINTING, F. PEREIRA, A. RAHUNANTHAN, Multiple Markov Chains Monte Carlo Approach for Flow Forecasting in Porous Media, Procedia Computer Science, v. 5 (2012), pp. 707-716.
[ abstract ; pdf file ]

8. V. GINTING, F. PEREIRA, A. RAHUNANTHAN, Forecasting Production in an Oil Reservoir Simulation and Its Challenges, Proceedings of ENUMATH 2012, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester - United Kingdom, September 2011 (A. Cangiani et al., eds.), Springer (2013), pp. 693-701.
[ abstract ; pdf file ]

7. V. GINTING, M. PRESHO, Model Reduction Techniques for Characterization of Fractured Subsurfaces, Procedia Computer Science, v. 4 (2011), pp. 938-947.
[ abstract ; pdf file ]

6. V. GINTING, An A Posteriori Analysis of Multiscale Operator Decomposition, Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala - Sweden, July 2009 (G. Kreiss et al., eds.), Springer (2010), pp. 357-365.
[ abstract ; pdf file ]

5. R. EWING, Y. EFENDIEV, V. GINTING, H. WANG, Upscaling of Transport Equations for Multiphase and Multicomponent Flows, Lecture Notes in Computational Science and Engineering, 60 (2008), pp. 193-200.
[ abstract ; pdf file ]

4. C. DOUGLAS, D. LI, Y. EFENDIEV, R. EWING, V. GINTING, R. LAZAROV, The Use of Sampling Techniques in Dynamic Data Driven Simulations, Proceedings of the 7th China-Japan Joint Seminar for Computational Mathematics and Scientific Computing, (z. Shi and H. Okamoto, eds.), Science Press, Beijing, (2006), pp. 211-220.
[ abstract ; pdf file ]

3. C. DOUGLAS, Y. EFENDIEV, R. EWING, V. GINTING, R. LAZAROV, M. COLE, G. JONES, C. JOHNSON, Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation, Lecture Notes in Computer Science, 3515 (2005), pp. 640-647.
[ abstract ; pdf file ]

2. C. DOUGLAS, C. SHANNON, Y. EFENDIEV, R. EWING, V. GINTING, R. LAZAROV, M. COLE, G. JONES, C. JOHNSON, J. SIMPSON, A Note on Data-Driven Contaminant Simulation, Lecture Notes in Computer Science, 3038 (2004), pp. 701-708.
[ abstract ; pdf file ]

1. C. DOUGLAS, Y. EFENDIEV, R. EWING, V. GINTING, R. LAZAROV, M. COLE, G. JONES, C. JOHNSON, Dynamic Data-Driven Contaminant Simulation, Current Trends in High Performance Computing and Its Applications, Springer-Verlag, Heidelberg, pp. 25-36. [ abstract ; pdf file ]

Non Refereed Proceedings

1. C. DOUGLAS, C. SHANNON, Y. EFENDIEV, R. EWING, V. GINTING, R. LAZAROV, M. COLE, G. JONES, C. JOHNSON, J. SIMPSON, A Note on Dynamic Data Driven Application Simulation (DDDAS) using Virtual Telemetry, International Conference on Parallel Algorithms and Computing Environments (2003).
[ pdf file ]