A Fast Solver for anH1Regularized PDE-Constrained Optimization Problem
| Autor: | Andrew T. Barker, Tyrone Rees, Martin Stoll |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
010101 applied mathematics
Mathematical optimization Optimization problem Constrained optimization problem Physics and Astronomy (miscellaneous) Computer science Schur complement Penalty method 010103 numerical & computational mathematics 0101 mathematics Solver 01 natural sciences Regularization (mathematics) |
| Zdroj: | Communications in Computational Physics. 19:143-167 |
| ISSN: | 1991-7120 1815-2406 |
| DOI: | 10.4208/cicp.190914.080415a |
| Popis: | In this paper we consider PDE-constrained optimization problems which incorporate anH1regularization control term. We focus on a time-dependent PDE, and consider both distributed and boundary control. The problems we consider include bound constraints on the state, and we use a Moreau-Yosida penalty function to handle this. We propose Krylov solvers and Schur complement preconditioning strategies for the different problems and illustrate their performance with numerical examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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