Adjoint-based optimal control using meshfree discretizations

Marburger J, Marheineke N, Pinnau R (2011)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2011

Journal

Journal of Computational and Applied Mathematics Elsevier

Publisher: Elsevier

Book Volume: 235

Pages Range: 3138-3150

Journal Issue: 10

DOI: 10.1016/j.cam.2010.12.018

Abstract

The paper at hand presents a combination of optimal control approaches for PDEs with meshless discretizations. Applying a classical Lagrangian type particle method to optimization problems with hyperbolic constraints, several adjoint-based strategies differing in the sequential order of optimization and discretization of the Lagrangian or Eulerian problem formulation are proposed and compared. The numerical results confirm the theoretically predicted independence principle of the optimization approaches and show the expected convergence behavior. Moreover, they exemplify the superiority of meshless methods over the conventional mesh-based approaches for the numerical handling and optimization of problems with time-dependent geometries and freely moving boundaries. © 2011 Elsevier B.V. All rights reserved.

Authors with CRIS profile

Nicole Marheineke Professur für Wissenschaftliches Rechnen

Involved external institutions

Technische Universität Kaiserslautern DE Germany (DE) Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics DE Germany (DE)

How to cite

APA:

Marburger, J., Marheineke, N., & Pinnau, R. (2011). Adjoint-based optimal control using meshfree discretizations. Journal of Computational and Applied Mathematics, 235(10), 3138-3150. https://dx.doi.org/10.1016/j.cam.2010.12.018

MLA:

Marburger, Jan, Nicole Marheineke, and René Pinnau. "Adjoint-based optimal control using meshfree discretizations." Journal of Computational and Applied Mathematics 235.10 (2011): 3138-3150.

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