@unpublished{Ciaramella2021-03-27T09:19:55Zoverl-55636,
  year={2021},
  title={An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints},
  author={Ciaramella, Gabriele and Mechelli, Luca}
}

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    <dc:creator>Ciaramella, Gabriele</dc:creator>
    <dcterms:abstract xml:lang="eng">In this work, a class of parabolic economic optimal control problems is considered. These problems are characterized by pointwise state constraints regularized by a parameter, which transforms the pure state constraints in mixed control-state ones. However, the convergence of classical (semismooth) Newton methods deteriorates for decreasing values of the regularization parameter. To tackle this problem, a nonlinear preconditioner is introduced. This is based on an overlapping optimized waveform-relaxation method characterized by Robin transmission conditions. Numerical experiments show that appropriate choices of the overlap and of the Robin parameter lead to a preconditioned Newton method with a robust convergence against the state constraints regularization parameter.</dcterms:abstract>
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    <dc:language>eng</dc:language>
    <dc:contributor>Ciaramella, Gabriele</dc:contributor>
    <dc:contributor>Mechelli, Luca</dc:contributor>
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    <dcterms:title>An overlapping waveform-relaxation preconditioner for economic optimal control problems with state constraints</dcterms:title>
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    <dc:creator>Mechelli, Luca</dc:creator>
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