Title
Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty
Abstract
•A computational framework to solve PDE-constrained optimization under uncertainty.•Exploring the intrinsic dimensionality of the control objective in parameter space.•Taylor approximation based control variate for variance reduction.•Lagrangian formulation for eigenvalue problem constrained optimization.
Year
DOI
Venue
2019
10.1016/j.jcp.2019.01.047
Journal of Computational Physics
Keywords
Field
DocType
PDE-constrained optimal control,Taylor approximation,Variance reduction,Scalability,Uncertainty quantification,High dimensionality
Discretization,Randomized algorithm,Effective dimension,Mathematical optimization,Optimal control,Control variates,Hessian matrix,Variance reduction,Mathematics,Taylor series
Journal
Volume
ISSN
Citations 
385
0021-9991
1
PageRank 
References 
Authors
0.37
19
3
Name
Order
Citations
PageRank
Peng Chen1576.49
Umberto Villa2306.64
Omar Ghattas369761.43