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ML-DDDAS Research Reports

Introduction

    Our group is expected to publish consistently and often.  Use the quick links below to get to the year of interest:

2004    2003    2002    2001    2000    1999    1998    1997

The hyperlinks to the reports are after the author and title information.

1997

  • C. C. Douglas, Multigrid methods in science and engineering, IEEE Comput. Sci. Eng., 3 (1997), pp. 55-68.
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  • C. C. Douglas, A. Ern, and M. D. Smooke, Multigrid solution of flame sheet problems on serial and parallel computers.  Appeared in Parallel Algorithms and Applications, 10 (1997), pp. 225-236.
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  • C. C. Douglas, S. Malhotra, and M. H. Schultz, A characterization of mapping unstructured grids onto structured grids and using multigrid as a preconditioner.  Appeared in BIT, 37 (1997), pp. 661-677.
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1998

  • C. C. Douglas, U. Rüde, J. Hu, and M. L. Bittencourt, A guide to designing cache aware multigrid algorithms, Proceedings of the GAMM Kiel Seminar Concepts of Numerical Software, W. Hackbusch and G. Wittum (eds.), 1998.
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  • C. C. Douglas, J. Hu, W. Karl, M. Kowarschik, U. Rüde, C. Weiss, Cache optimization for structured and unstructured grid multigrid.  Appeared in Elect. Trans. Numer. Anal. (ETNA), 10 (2000), pp. 25-40.
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1999

  • C. C. Douglas, G. Haase, J. Hu, W. Karl, M. Kowarschik, U. Rüde, C. Weiss, Portable memory hierarchy techniques for PDE solvers, Part I.  Appeared in SIAM News 33/5 (2000), pp. 1, 8-9.
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  • C. C. Douglas, G. Haase, J. Hu, W. Karl, M. Kowarschik, U. Rüde, C. Weiss, Portable memory hierarchy techniques for PDE solvers, Part II.  Appeared in SIAM News 33/6 (2000), pp. 1, 10-11, 16.
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  • C. C. Douglas, J. Hu, M. Iskandarani, M. Kowarschik, U. Rüde, C. Weiss, Maximizing cache memory usage for multigrid algorithms.  Appeared in in Multiphase Flows and Transport in Porous Media: State of the Art, Z. Chen, R. E. Ewing, and Z.-C. Shi (eds.), Lecture Notes in Physics, Vol. 552, Springer-Verlag, Berlin, 2000, pp. 234-247.
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  • C. C. Douglas, J. Hu, W. Karl, M. Kowarschik, U. Rüde, C. Weiss, Fixed and adaptive cache aware algorithms for multigrid methods.  Appeared in Multigrid Methods VI, E. Dick, K. Riemslagh, and J. Vierendeels  (eds.), Lecture Notes in Computational Sciences, Springer-Verlag, Berlin, 2000, pp. 87-93.
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  • C. C. Douglas, J. Hu, M. Iskandarani, Preprocessing costs of cache based multigrid.  Appeared in Proceedings of the Third European Conference on Numerical Mathematics and Advanced Applications, P. Neittaanmäki, T. Tiihonen, and P. Tarvainen (eds.), World Scientific, Singapore, 2000, pp. 362-370.
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  • M. Bittencourt, C. C. Douglas, R. A. Feijóo, Non-nested and Non-structured Multigrid Methods Applied to Elastic Problems. Part I: The Two-Dimensional Case.
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  • M. Bittencourt, C. C. Douglas, R. A. Feijóo, Non-nested and Non-structured Multigrid Methods Applied to Elastic Problems. Part II: The Three-Dimensional Case.
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2000

  • C. C. Douglas, G. Haase, M. Iskandarani, High performance multi-layer ocean modeling.  Appeared in Proceedings of the First MIT Conference on Computational Solid and Fluid Mechanics, K. J. Bathe (ed.), 2001, 5 pages.
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  • C. C. Douglas and K. M. Walters, Variable order cascadic multigrid algorithms.  Appeared in Proceedings of ECCOMAS 2000, Barcelona, Spain, 2000, 10 pages.
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  • M. L. Bittencourt, C. C. Douglas, R. A. Feijóo, Non-nested multigrid methods for linear problems.  Appeared in Numer. Meth. PDE, 17 (2001), 313-331.
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  • J. J. Hu, Cache Based Multigrid on Unstructured Grids in Two and Three Dimensions, University of Kentucky Mathematics Department, September, 2000.
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  • A. Deshmukh, C. C. Douglas, M. Ball, R. E. Ewing, C. R. Johnson, C. Kesselman, C. Lee, and W. Powell, Dynamic data-driven application systems: creating a dynamic and symbiotic coupling of application/simulations with measurements/experiments.  Appeared as a NSF White Paper, 2000, 28 pages.
        Word      PDF

2001

  • M. L. Bittencourt, C. C. Douglas, R. A. Feijóo, Adaptive non-nested multigrid methods.  Appeared in Eng. Comput., 19 (2002), pp. 158-176.
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  • C. C. Douglas, G. Haase, and M. Iskandarani, An acceleration procedure for the spectral element ocean model formulation of the shallow water equations.  Appeared in Contemporary Mathematics, 295 (2002), pp. 153-158.
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  • C. C. Douglas and D. T. Thorne, A note on cache memory methods for multigrid in three dimensions.  Appeared in Contemporary Mathematics, 306 (2002), pp. 167-177.
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  • C. C. Douglas, G. Haase, M. Iskandarani, An additive Schwarz preconditioner for the spectral element ocean model formulation of the shallow water equations.  Appeared in Elec. Trans. Numer. Anal., (15) 2003, pp. 18-28.
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  • C. C. Douglas, J. Hu, J. Ray, D. T. Thorne, and R. S. Tuminaro, Fast, adaptively refined computational elements in 3D.  Appeared in Computational Science - ICCS 2002, P. M. A. Sllot, C. J. K. Tan, J. J. Dongarra, and A. G. Hoekstra (eds.), 3 (2002), pp. 774-783.
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2002

  • M. Sukop, Porosity, Percolation Thresholds, and Water Retention Behavior of Random Fractal Porous Media, Ph.D. dissertation, University of Kentucky, Soils Department, Lexington, KY, March, 2002.
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  • C. C. Douglas, G. Haase, and S. Reitzinger, Special solution strategies inside a spectral ocean element model.  Appeared in Math. Models Meth. Applied Sci. (M3AS), 13 (2003), pp. 1-14.
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  • C. C. Douglas, G. Haase, and J. Hu, The state of quasi-unstructured grid cache aware multigrid, submitted June, 2002.
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  • C. C. Douglas and G. Haase, Algebraic multigrid and Schur complement strategies within a multilayer spectral element ocean model.  Appeared in Contemporary Math., 329 (2003), pp. 89-98.
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  • S. Kazaa and J. Zhang, and C. C. Douglas, Preconditioned multigrid simulation of an axisymmetric laminar diffusion flames.  Appeared in Mathematical and Computer Modeling, 38 (2003), pp. 269-279.
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  • C. C. Douglas, Y. Efendiev, R. Ewing, R. Lazarov, M. R. Cole, C. R. Johnson, and G. Jones, Virtual telemetry middleware for DDDAS.  Appeared 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.
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2003

  • C. C. Douglas, G. Haase, U. Langer, A Tutorial on Elliptic PDE Solvers and their Parallelization, vol. 16, Software, Environments, and Tools (SET) series, SIAM Books, Philadelphia, 2003.
        http://ec-securehost.com/SIAM/SE16.html    Online Resources
  • D. T. Thorne, Cache Aware Multigrid on AMR Hierarchies.  Appeared in the Virtual Proceedings of the Copper Mountain Conference on Multigrid Methods, MGNet Virtual Proceedings Series, Cos Cob, 2003, 10 pages.
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  • Karen B. Walters, Cascadic Multigrid Algorithms, Ph.D. dissertation, University of Kentucky Mathematics Department, April, 2003.
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  • 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.
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  • 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.  Appeared in Numerical Linear Algrebra and Applications, 11 (2004), pp. 173-187.
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  • C. C. Douglas, C. Shannon, Y. Efendiev, R. Ewing, V. Ginting, R. Lazarov, M. R. Cole, G. Jones, C. R. Johnson, and J. Simpson, Using a virtual telemetry methodology for dynamic data driven application simulations, to appear in Dynamic Data Driven Applications Systems, F. Darema (ed.), Kluwer, Amsterdam, 2004.
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  • J. Mandel, M. Chen, J. L. Coen, C. C. Douglas, L. P. Franca, C. Johns, R. Kremens, A. Puhalskii, A. Vodacek, and W. Zhao, Using a virtual telemetry methodology for dynamic data driven application simulations, to appear in Dynamic Data Driven Applications Systems, F. Darema (ed.), Kluwer, Amsterdam, 2004.
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  • Daniel T. Thorne, Multigrid with Cache Optimizations on Adaptive Mesh Refinement Hierarchies, Ph.D. dissertation, University of Kentucky Computer Science Department, December, 2003.
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2004

  • C. C. Douglas, D. T. Thorne, J. Hu, J. Ray, and R. S. Tuminaro, Cache aware multigrid on tadaptively refined structured meshes.  Appeared in Proceedings of ECCOMAS 2004, Jyväskylä, Finland, 24-28 July 2004, P. Neittaanmaki, T. Rossi, S. Korotov, E. Onate, J. Periaux, and D. Knoerzer (eds.), 18 pages.
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  • 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.  Appeared in Computational Sciences - ICCS 2004, M. Bubak, G. D. van Albada, P. M. A. Sloot, and J. J. Dongarra (eds.), 3 (2004), pp. 701-708.
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  • J. Mandel, M. Chen, L. P. Franca, C. Johns, A. Puhalskii,, J. L. Coen, C. C. Douglas, R. Kremens, A. Vodacek, W. Zhao, A Note on Dynamic Data Driven Wildfire Modeling.  Appeared in Computational Sciences - ICCS 2004, M. Bubak, G. D. van Albada, P. M. A. Sloot, and J. J. Dongarra (eds.), 3 (2004), pp. 725-731.
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Cheers,
Craig C. Douglas

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