The proper orthogonal decomposition (POD) is a procedure to determine a reduced basis for a reduced order model. In this article POD is formulated as a minimization problem in a general Hilbert space setting. The POD-basis functions are given by the solution to the first-order necessary optimality conditions. In this work POD is utilized to solve optimal control problems for a phase-field model. The numerical results are compared with finite element solutions.
No takes yet. Share an insight, caveat, or question.
Stefan Volkwein (2001) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: