Design optimization problems are often formulated as an optimization problem whose objective is a function of the output of a large-scale parametric linear system, obtained from the discretization of a PDE. To reduce the high computational cost of the objective and its gradient, model order reduction techniques can be used. This paper uses interpolatory… (More)

Reduced order modelling approaches to PDE - constrained optimization based on proper orthogonal decomposition , in Large - Scale PDE - Constrained Optimization

M. Heinkenschloss, O. Ghattas, B. Bloemen Waanders

Lecture Notes in Comput . Sci . Engrg .

2007

Numerical Optimization

J. Nocedal, S. Wright

2nd ed., Springer, New York

2006

1 Excerpt

Order reduction of large scale second-order systems using Krylov subspace methods