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Dipartimento Matematica
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Seminario del 2019
Dicembre
11
2019
pagina stampabile
John W. Pearson
Some Perspectives on Numerical Methods and Preconditioning for PDE-Constrained Optimization
analisi numerica
In recent years, a field that has risen to prominence within mathematics and engineering is that of PDE-constrained optimization, which has numerous applications within these subject areas. In this talk, we consider the development of preconditioned iterative methods for a number of PDE-constrained optimization problems. In particular, we discuss challenges arising from the interior point solution of problems with additional box constraints, the solution of nonlinear problems arising from chemotaxis, and the application of deferred correction approaches to improve the discretization error obtained in the time variable.
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