Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox

Please always quote using this URN: urn:nbn:de:0297-zib-11909
  • This paper presents concepts and implementation of the finite element toolbox Kaskade 7, a flexible C++ code for solving elliptic and parabolic PDE systems. Issues such as problem formulation, assembly and adaptivity are discussed at the example of optimal control problems. Trajectory compression for parabolic optimization problems is considered as a case study.

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Metadaten
Author:Sebastian Götschel, Martin WeiserORCiD, Anton Schiela
Document Type:ZIB-Report
Tag:adaptive methods; finite elements; generic programming; optimal control; partial differential equations
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K10 Optimization and variational techniques [See also 49Mxx, 93B40]
65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65-XX NUMERICAL ANALYSIS / 65Yxx Computer aspects of numerical algorithms / 65Y99 None of the above, but in this section
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68Uxx Computing methodologies and applications / 68U20 Simulation [See also 65Cxx]
Date of first Publication:2010/12/14
Series (Serial Number):ZIB-Report (10-25)
ISSN:1438-0064
Published in:Appeared in: A. Dedner et al. (eds.) Advances in DUNE. Springer, 2012. 101-112