General Electric Research Team Mathematics Project

Abstract

This research was directed at strengthening DARPA's Prognosis initiative by including new mathematical methods for managing uncertainty during the design, application, and prediction of the behavior of structural materials. The research program consisted of three projects carried out by Yale University, Massachusetts Institute of Technology, and the California Institute of Technology. These projects were: (1) Yale - Multiscale geometric analysis in high-dimensional spaces; (2) MIT - Reliable fast parameter estimation and (e.g., process or mission) optimization in the presence of uncertainty; and (3) MIT/Caltech - Exact bounds and certificates for functional outputs of solutions of the partial differential equations of continuum mechanics.

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Document Details

Document Type
Technical Report
Publication Date
Mar 03, 2005
Accession Number
ADA430997

Entities

People

  • Anthony T. Patera

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Algorithms
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Continuum Mechanics
  • Differential Equations
  • Elastic Properties
  • Equations
  • Estimators
  • Fluid Dynamics
  • Formulas (Mathematics)
  • Mechanical Engineering
  • Mechanics
  • Navier Stokes Equations
  • Optimization
  • Partial Differential Equations
  • Two Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Research Science/Academic Research
  • Theoretical Analysis.

Technology Areas

  • Space