Computational Fluid Dynamics.

Abstract

Implementation of the reduced basis method requires the choice of a subspace and a projector onto that subspace. For an arbitrarily chosen subspace-projector pair, existence of the true solution curve is not sufficient to guarantee the existence of the corresponding reduced basis solution curve. However, when the former curve exists, it has been shown that there are infinitely many subspace-projector pairings, each utilizing an arbitrarily selected subspace, under which the reduced basis solution curve exists. Moreover, the resulting error estimates are of the same nature as those that apply in the more familiar case when a subspace is paired with its orthogonal projector.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1986
Accession Number
ADA177171

Entities

People

  • Charles A. Hall

Organizations

  • University of Pittsburgh

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Simulations
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Fluid Dynamics
  • Fluid Flow
  • Navier Stokes Equations
  • Numerical Analysis
  • Reynolds Number
  • Turbines

Readers

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