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Award Abstract #0219627
Collaborative Research: ITR/AP - Predictive Contaminant Tracking Using Dydnamic Data Driven Application Simulation (DDDAS) Techniques

| NSF Org: |
CNS
Division of Computer and Network Systems
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| Initial Amendment Date: |
September 10, 2002 |
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| Latest Amendment Date: |
August 23, 2007 |
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| Award Number: |
0219627 |
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| Award Instrument: |
Standard Grant |
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| Program Manager: |
Anita J. LaSalle
CNS Division of Computer and Network Systems
CSE Directorate for Computer & Information Science & Engineering
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| Start Date: |
September 15, 2002 |
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| Expires: |
February 29, 2008 (Estimated) |
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| Awarded Amount to Date: |
$179300 |
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| Investigator(s): |
Craig Douglas craig.c.douglas@gmail.com (Principal Investigator)
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| Sponsor: |
University of Kentucky Research Foundation
201 Kinkead Hall
Lexington, KY 40506 859/257-9420
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| NSF Program(s): |
ITR SMALL GRANTS
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| Field Application(s): |
0000099 Other Applications NEC
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| Program Reference Code(s): |
HPCC, 9218, 1686, 1667
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| Program Element Code(s): |
1686
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ABSTRACT

EIA-0219627 Craig Douglas University of Kentucky Collaborative Research: ITR/AP-Predictive Contaminant Tracking Using Dynamic Data Driven Application Simulation \(DDDAS\) Techniques
This project will lead to a leap-ahead technology in simulation capabilities. Research in the development of new methods and algorithms for the specific application areas is needed. The dynamic application requirements will dictate computing systems' support that includes systems' software technologies, such as active middleware services for real time, dynamic reconfiguration capabilities, resource discovery, load balancing, security, fault tolerance, quality of service, and dynamic interfaces with field measurement systems.
An encoded web stream set of contaminations from actual situations (both above ground and underground) will allow researchers besides us to tap into our virtual reality DDDAS environment. Visualization systems will allow us to work with a variety of real networks, sensors, and environments.
PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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A.B. Andreev, R.D. Lazarov, and M.R. Racheva. "Postprocessing and higher order convergence of mixed finite element approximations of biharmonic eigenvalue problems," J. Comput. Appl. Math., v.182, 2005, p. 333.
A.M. Spagnuolo and R.E. Ewing. "Difficulties and uncertainty in mathematical/numerical modeling fluid flow in fractured media," Fracture and In-situ Stress Characterization of Hydrocarbon Reservoirs, v.209, 2003, p. 187.
A.R. Sanderson, R.M. Kirby, C.R. Johnson, and L. Yang. "Revisiting reaction-diffusion models for texture synthesis," Journal of Graphics Tools, v.11, 2006, p. 47.
C. C. Douglas and Deng Li. "Dynamic Data-Driven Application Simulation Projects," Bulletin of the Japanese Society of Industrial and Applied Mathematics, v.15, 2005, p. 75.
C. C. Douglas and Deng Li. "On a novel perturbation expansion method for coupled systems of acoustics and structures," Computer and Mathematics with Applications, v.51, 2006, p. 1689.
C. C. Douglas and G. Haase
. "Algebraic multigrid and Schur complement strategies within a multilayer spectral element ocean model," Contemporary Math., v.329, 2003, p. 89.
C. C. Douglas, J. Hu, J. Ray, D. T. Thorne, and R. Tuminaro. "Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies," Numerical Linear Algrebra and Applications, v.11, 2004, p. 173.
C. C. Douglas, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov. "Dynamic data driven simulations in stochastic environments," Computing, v.77, 2006, p. 321.
C. C. Douglas, Y. Efendiev, V. Ginting, and R. Lazarov. "Dynamic data-driven application simulation framework for contaminant transport problems," Computer and Mathematics with Applications, v.51, 2006, p. 1633.
H. Wang, D. Liang, S.L. Lyons, G. Qin, R.E. Ewing. "An improved numerical simulator for different types of flows in porous media," Num. Meth. PDE's, v.19, 2003, p. 343.
J. Liu, Z. Chen, R. E. Ewing, G. Huan, B. Li, and Z. Wang. "Parallel computing in the black oil model," Contemporary Mathematics, v.329, 2003, p. 253.
Jiangguo Liu, Bojan Popov, Hong Wang, and Richard E. Ewing. "Convergence analysis of wavelet schemes for convection-reaction equations under minimal regularity assumptions," SIAM Journal on Numerical Analysis, v.43, 2005, p. 521.
M. Cole and S. Parker. "Dynamic Compilation of C++ Template Code," Scientific Programming, v.11, 2003, p. 321.
P. Chatzipantelidis and R.D. Lazarov. "Error estimates for finite volume element method for elliptic PDE's in nonconvex polygonal domains," SIAM Journal on Numerical Analysis, v.42, 2005, p. 1932.
P. Chatzipantelidis, R.D. Lazarov, and V. Thomee. "Error estimates for the finite volume element method for parabolic equations in convex polygonal domains," Numer. Methods for Partial Diff. Equations, v.20, 2004, p. 658.
P. Chatzipantelidis, V. Ginting, and R.D. Lazarov. "A finite volume element method for nonlinear elliptic problems," Numeical Linear Algebra and Its Appications, v.12, 2005, p. 515.
R. Sinha, R.E. Ewing, and R.D. Lazarov. "Some new error estimates of a semidiscrete finite volume element method for parabolic integro-differential equation with nonsmooth initial data," SIAM Journal on Numerical Analysis, v.43, 2006, p. 2320.
Richard E. Ewing, Jiangguo Liu, and Hong Wang. "Adaptive wavelet method for advection-reaction equations," Contemporary Mathematics, v.329, 2003, p. 119.
Richard E. Ewing, Jiangguo Liu, and Hong Wang. "Adaptive biorthogonal spline schemes for advection-reaction equations," Journal of Computational Physics, v.193, 2003, p. 21.
T. Munzner, C.R. Johnson, R. Moorhead, H. Pfister, P. Rheingans, and T. Yoo. "NIH/NSF visualization research challenges report summary," IEEE Computer Graphics and Applications, v.26, 2006, p. 20.
V. Ginting. "Analysis of two-scale finite volume method for elliptic problem," Journal of Numerical Mathematics, v.12, 2004, p. 119.
V. Ginting, R. Ewing, Y. Efendiev, and R. Lazarov. "Upscaled modeling for multiphase flow," Journal of Computational and Applied Mathematics, v.43, 2005, p. 521.
Y. Efendiev and A. Pankov. "Meyers type estimates for approximate solutions of nonlinear elliptic
equations and their applications," Journal of Numerical Mathematics, v.13, 2005, p. 105.
Y. Efendiev and A. Pankov. "Homogenization of nonlinear random parabolic operators," Electronic Journal of Differential Equations, v.10, 2005, p. 1235.
Y. Efendiev and A. Pankov. "Numerical homogenization of nonlinear random parabolic operators," SIAM Journal on Multiscale Modeling and Simulation, v.2, 2004, p. 237.
Y. Efendiev and A. Pankov. "Numerical homogenization of nonlinear random elliptic operators," SIAM Journal on Applied Mathematics, v.65, 2004, p. 43.
Y. Efendiev and A. Pankov. "On homogenization of almost periodic nonlinear parabolic operators," International Journal of Evolution Equations, v.3, 2005, p. 203.
Y. Efendiev and B. Popov. "On homogenization of nonlinear hyperbolic equations," Communications on Pure and Applied Analysis, v.4, 2005, p. 295.
Y. Efendiev and L. Durlofsky. "Generalized convection-diffusion model for subgrid transport in porous media," SIAM Journal on Multiscale Modeling and Simulation, v.1, 2003, p. 504.
Y. Efendiev, A. Datta-Gupta, I. Osako, and B. Mallick. "Multiscale data integration using coarse-scale models," Advances in Water Resources, v.28, 2005, p. 303.
Y. Efendiev, T. Hou, and V. Ginting. "Multiscale finite element methods for nonlinear partial differential equations and their application," Communications in Mathematical Sciences, v.2, 2004, p. 553.
Y. Efendiev, T. Hou, and W. Luo. "Preconditioning of MCMC simulations using coarse-scale models," SIAM Journal on Scientific Computing, v.28, 2006, p. 776.
Y. Efendiev, V. Ginting, T. Hou and R. Ewing. "Accurate multiscale finite element methods for two-phase flow simulations," Journal of Computational Physics, v.220, 2006, p. 155.
Z. Chen and R.E. Ewing. "Degenerate two-phase incompressible flow IV: local refinment and domain decomposition," J. Scientific Comp., v.18, 2003, p. 329.
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