The obvious advantage of the reduced-basis approach within the design, optimization, and control environment is the very rapid response. This is particularly important in multidisciplinary design optimization, in which various models and approximations must be integrated. We close this section with a more applied example. Figure 2 Generalizations and Issues Many of the assumptions that we have introduced are assumptions of convenience and exposition, not necessity. These methods are currently under development.
Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems.
C. R. Acad. Blackbox reduced-basis output bound methods for shape optimization. 3 D.V. R OVAS . An overview of blackbox reduced-basis output bound methods for elliptic partial differential equations. A blackbox reduced-basis output bound method for noncoercive linear problems.