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Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation

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Computational Science – ICCS 2005 (ICCS 2005)
Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation
  • Craig C. Douglas20,21,
  • Yalchin Efendiev22,
  • Richard Ewing22,
  • Victor Ginting22,
  • Raytcho Lazarov22,
  • Martin J. Cole23,
  • Greg Jones23 &
  • …
  • Chris R. Johnson23 

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3515))

Included in the following conference series:

  • International Conference on Computational Science
  • 1071 Accesses

  • 2 Citations

Abstract

We describe, devise, and augment dynamic data-driven application simulations (DDDAS). DDDAS offers interesting computational and mathematically unsolved problems. In this paper, we discuss how to update the solution as well as input parameters involved in the simulation based on local measurements. The updates are performed in time. We test our method on various synthetic examples.

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References

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  3. Douglas, C.C., Shannon, C., Efendiev, Y., Ewing, R., Ginting, V., Lazarov, R., Cole, M., Jones, G., Johnson, C., Simpson, J.: A note on data-driven contaminant simulation. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds.) ICCS 2004. LNCS, vol. 3038, pp. 701–708. Springer, Heidelberg (2004)

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  4. Douglas, C.C., Efendiev, Y., Ewing, R., Ginting, V., Lazarov, R.: Bayesian approaches for initial data recovery in dynamic data-driven simulations (in preparation)

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  5. Efendiev, Y., Pankov, A.: Numerical homogenization of nonlinear random parabolic operators. SIAM Multiscale Modeling and Simulation 2(2), 237–268 (2004)

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  6. Johnson, C.R., Parker, S., et al.: SCIRun: A scientific computing problem solving environment, http://software.sci.utah.edu/scirun.html

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Kentucky, 325 McVey Hall, Lexington, KY, 40506-0045, USA

    Craig C. Douglas

  2. Department of Computer Science, Yale University, P.O. Box 208285, New Haven, CT, 06520-8285, USA

    Craig C. Douglas

  3. ISC, Texas A&M University, College Station, TX, USA

    Yalchin Efendiev, Richard Ewing, Victor Ginting & Raytcho Lazarov

  4. Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, UT, USA

    Martin J. Cole, Greg Jones & Chris R. Johnson

Authors
  1. Craig C. Douglas
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  2. Yalchin Efendiev
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  3. Richard Ewing
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  4. Victor Ginting
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  5. Raytcho Lazarov
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  6. Martin J. Cole
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  7. Greg Jones
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  8. Chris R. Johnson
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia, USA

    Vaidy S. Sunderam

  2. Department of Mathematics and Computer Science, University of Amsterdam, Kruislaan 403, 1098, Amsterdam, SJ, The Netherlands

    Geert Dick van Albada

  3. Faculty of Sciences, Section of Computational Science, University of Amsterdam, Kruislaan 403, 1098, Amsterdam, SJ, The Netherlands

    Peter M. A. Sloot

  4. Computer Science Department, University of Tennessee, 37996-3450, TN, Knoxville, USA

    Jack J. Dongarra

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© 2005 Springer-Verlag Berlin Heidelberg

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Cite this paper

Douglas, C.C. et al. (2005). Multiscale Interpolation, Backward in Time Error Analysis for Data-Driven Contaminant Simulation. In: Sunderam, V.S., van Albada, G.D., Sloot, P.M.A., Dongarra, J.J. (eds) Computational Science – ICCS 2005. ICCS 2005. Lecture Notes in Computer Science, vol 3515. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11428848_83

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  • DOI: https://doi.org/10.1007/11428848_83

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26043-1

  • Online ISBN: 978-3-540-32114-9

  • eBook Packages: Computer ScienceComputer Science (R0)Springer Nature Proceedings Computer Science

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Keywords

  • Porous Medium
  • Initial Data
  • Sensor Data
  • Prior Information
  • True Solution

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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