TY - THES A1 - Battermann, Astrid T1 - Mathematical Optimization Methods for the Remediation of Ground Water Contaminations T1 - Mathematical Optimization Methods for the Remediation of Ground Water Contaminations N2 - This work is concerned with the numerical solution of optimization problems that arise in the context of ground water modeling. Both ground water hydraulic and quality management problems are considered. The considered problems are discretized problems of optimal control that are governed by discretized partial differential equations. Aspects of special interest in this work are inaccurate function evaluations and the ensuing numerical treatment within an optimization algorithm. Methods for noisy functions are appropriate for the considered practical application. Also, block preconditioners are constructed and analyzed that exploit the structure of the underlying linear system. Specifically, KKT systems are considered, and the preconditioners are tested for use within Krylov subspace methods. The project was financed by the foundation Stiftung Rheinland-Pfalz für Innovation and carried out in joint work with TGU GmbH, a company of consulting engineers for ground water and water resources. KW - Optimale Kontrolle KW - Partielle Differentialgleichung KW - Sequentielle quadratische Optimierung KW - Nebenbedingung KW - Grundwasserstrom Y1 - 2001 UR - https://ubt.opus.hbz-nrw.de/frontdoor/index/index/docId/4 UR - https://nbn-resolving.org/urn:nbn:de:hbz:385-1103 ER -