A posteriori error estimators for linear reduced‐order models using Krylov‐based integrators

Abstract

Reduced‐order models for linear time‐invariant dynamical systems are considered, and the error between the full‐order model and the reduced‐order model solutions is characterized. Based on the analytical representation of the error, an a posteriori error indicator is proposed that combines a Krylov‐based exponential integrator and an a posteriori residual‐based estimate. Numerical experiments illustrate the quality of the error estimator. Copyright © 2014 John Wiley & Sons, Ltd.

Document Details

Document Type
Pub Defense Publication
Publication Date
Aug 15, 2014
Source ID
10.1002/nme.4753

Entities

People

  • D. Amsallem
  • U. Hetmaniuk

Organizations

  • Office of Naval Research
  • Stanford University
  • University of Washington

Tags

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Electrical Engineering