Chapter

Computational Science – ICCS 2005

Volume 3515 of the series Lecture Notes in Computer Science pp 640-647

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

  • Craig C. DouglasAffiliated withDepartment of Computer Science, University of KentuckyDepartment of Computer Science, Yale University
  • , Yalchin EfendievAffiliated withISC, Texas A&M University
  • , Richard EwingAffiliated withISC, Texas A&M University
  • , Victor GintingAffiliated withISC, Texas A&M University
  • , Raytcho LazarovAffiliated withISC, Texas A&M University
  • , Martin J. ColeAffiliated withScientific Computing and Imaging Institute, University of Utah
  • , Greg JonesAffiliated withScientific Computing and Imaging Institute, University of Utah
  • , Chris R. JohnsonAffiliated withScientific Computing and Imaging Institute, University of Utah

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.