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Optimality conditions for the numerical solution of optimization problems with PDE constraints :

Aguilo Valentin, Miguel A.; Ridzal, Denis R.

A theoretical framework for the numerical solution of partial di erential equation (PDE) constrained optimization problems is presented in this report. This theoretical framework embodies the fundamental infrastructure required to e ciently implement and solve this class of problems. Detail derivations of the optimality conditions required to accurately solve several parameter identi cation and optimal control problems are also provided in this report. This will allow the reader to further understand how the theoretical abstraction presented in this report translates to the application.

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TYPE SAND Report YEAR 2014
OSTIDOI

Numerical study of a matrix-free trust-region SQP method for equality constrained optimization

Ridzal, Denis R.; Aguilo Valentin, Miguel A.

This is a companion publication to the paper 'A Matrix-Free Trust-Region SQP Algorithm for Equality Constrained Optimization' [11]. In [11], we develop and analyze a trust-region sequential quadratic programming (SQP) method that supports the matrix-free (iterative, in-exact) solution of linear systems. In this report, we document the numerical behavior of the algorithm applied to a variety of equality constrained optimization problems, with constraints given by partial differential equations (PDEs).

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TYPE SAND Report YEAR 2011
OSTIDOI
Results 26–43 of 43
Results 26–43 of 43