Exploration of efficient reduced-order modeling and a posteriori error estimation
- Univ. of New Mexico, Albuquerque, NM (United States)
- Colorado State Univ., Fort Collins, CO (United States)
- Florida State Univ., Tallahassee, FL (United States)
Summary Efficient algorithms are considered for the computation of a reduced‐order model based on the proper orthogonal decomposition methodology for the solution of parameterized elliptic partial differential equations. The method relies on partitioning the parameter space into subdomains based on the properties of the solution space and then forming a reduced basis for each of the subdomains. This yields more efficient offline and online stages for the proper orthogonal decomposition method. We extend these ideas for inexpensive adjoint based a posteriori error estimation of both the expensive finite element method solutions and the reduced‐order model solutions, for a single and multiple quantities of interest. Various numerical results indicate the efficacy of the approach. Copyright © 2016 John Wiley & Sons, Ltd.
- Research Organization:
- Colorado State Univ., Fort Collins, CO (United States); Florida State Univ., Tallahassee, FL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- SC0009279; SC0009324
- OSTI ID:
- 1533197
- Alternate ID(s):
- OSTI ID: 1401881
- Journal Information:
- International Journal for Numerical Methods in Engineering, Vol. 111, Issue 2; ISSN 0029-5981
- Publisher:
- WileyCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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