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Mathematical Optimization Methods for the Remediation of Ground Water Contaminations

Mathematical Optimization Methods for the Remediation of Ground Water Contaminations

  • 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.

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Author:Astrid Battermann
Advisor:Ekkehard Sachs
Document Type:Doctoral Thesis
Date of completion:2004/04/20
Publishing institution:Universität Trier
Granting institution:Universität Trier, Fachbereich 4
Date of final exam:2001/02/09
Release Date:2004/04/20
GND Keyword:Grundwasserstrom; Nebenbedingung; Optimale Kontrolle; Partielle Differentialgleichung; Sequentielle quadratische Optimierung
Institutes:Fachbereich 4 / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik

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