PDE-Constrained Optimization: Matrix Structures and Preconditioners

LARGE-SCALE SCIENTIFIC COMPUTING (LSSC 2019)(2020)

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摘要
In this paper we briefly account for the structure of the matrices, arising in various optimal control problems, constrained by PDEs, and how it can be utilized when constructing preconditioners for the arising linear systems to be solved in the optimization framework.
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关键词
PDE-constrained optimal control problems,Numerical solution methods,Preconditioners,Sparse control
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