Some first and second order algorithmic approaches for the solution of PDE-constrained optimization problems are reviewed. An optimal control problem for the stationary Navier-Stokes system with pointwise control constraints serves as an illustrative example. Some issues in treating inequality const
Block-triangular preconditioners for PDE-constrained optimization
β Scribed by Tyrone Rees; Martin Stoll
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 475 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1070-5325
- DOI
- 10.1002/nla.693
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## Abstract In these notes we consider PDEβconstrained optimization in the context of advanced materials. We give examples for optimization and control in the coefficients, free material optimization, topology optimization, shape optimization in elastic and piezoβelectric materials. We explain some
Preconditioners to nonsymmetric, nondiagonally dominant systems of equations are constructed and examined numerically. The preconditioners are based on a Toeplitz approaLh with a certain symmetry that we define. The inversion of the preconditioners is defined through a Fast Modified Sine Transform.
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