Now showing items 1-4 of 4
Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition
(Cambridge University Press, 2009-06)
The proper orthogonal decomposition (POD) is the prevailing method for basis generation in the model reduction of fluids. A serious limitation of this method, however, is that it is empirical. In other words, this basis ...
On efficient solutions to the continuous sensitivity equation using automatic differentiation
(Siam Publications, 2000-06)
Shape sensitivity analysis is a tool that provides quantitative information about the influence of shape parameter changes on the solution of a partial differential equation (PDE). These shape sensitivities are described ...
Inexact Kleinman-Newton method for Riccati equations
(Siam Publications, 2009-03)
In this paper we consider the numerical solution of the algebraic Riccati equation using Newton's method. We propose an inexact variant which allows one control the number of the inner iterates used in an iterative solver ...
Mesh independence of Kleinman-Newton iterations for Riccati equations in Hilbert space
(Siam Publications, 2008)
In this paper we consider the convergence of the infinite dimensional version of the Kleinman-Newton algorithm for solving the algebraic Riccati operator equation associated with the linear quadratic regulator problem in ...