DASOPT swMATH ID: 9260 Software Authors: Petzold, Linda; Rosen, J.Ben; Gill, Philip E.; Jay, Laurent O.; Park, Kihong Description: Numerical optimal control of parabolic PDEs using DASOPT. This paper gives a preliminary description of DASOPT, a software system for the optimal control of processes described by time-dependent partial differential equations (PDEs). DASOPT combines the use of efficient numerical methods for solving differential-algebraic equations (DAEs) with a package for large scale optimization based on sequential quadratic programming (SQP). DASOPT is intended for the computation of the optimal control of time-dependent nonlinear systems of PDEs in two (and eventually three) spatial dimensions, including possible inequality constraints on the state variables.par By the use of either finite difference or finite element approximations to the spatial derivatives, the PDEs are converted into a large system of ordinary differential equations or DAEs. Special techniques are needed in order to solve this very large optimal control problem. The use of DASOPT is illustrated by its application to a nonlinear parabolic PDE boundary control problem in two spatial dimensions. Computational results with and without bounds on the state variables are presented. Homepage: http://link.springer.com/chapter/10.1007/978-1-4612-1960-6_12 Keywords: nonlinear programming; software system; optimal control; differential-algebraic equations; large scale optimization; sequential quadratic programming; nonlinear systems; finite difference; finite element Related Software: ADIFOR; SNOPT; SOCS; LAPACK; L-BFGS; GiNaC; MA48; OOPDE; MUFTE-UG; COLNEW; VPLAN; TOMP; LOQO; LANCELOT; Hilbert class library; NLPQL; NPSOL; MUSCOD-II; CHEMKIN; BLAS Cited in: 14 Publications all top 5 Cited by 34 Authors 2 Bock, Hans Georg 2 Diehl, Moritz Mathias 2 Gill, Philip E. 2 Jay, Laurent-Olivier 2 Leineweber, Daniel B. 2 Petzold, Linda Ruth 2 Schlöder, Johannes P. 1 Bewley, Thomas R. 1 Binder, Thomas 1 Blank, Luise 1 Bulirsch, Roland Zdeněk 1 Dahmen, Wolfgang A. 1 Deng, Yu 1 Gerdts, Matthias 1 Goldberg, Helmuth 1 Grosshans, Oliver 1 Hazra, Subhendu Bikash 1 Heinkenschloss, Matthias 1 Kronseder, Thomas 1 Kunoth, Angela 1 Leonard, Michael W. 1 Marquardt, Wolfgang 1 Mehlitz, Patrick 1 Moin, Parviz 1 Pablos, Blanca 1 Park, Kihong 1 Prüfert, Uwe 1 Rosen, J. Ben 1 Schulz, Volker H. 1 Sharma, Vivek Kumar 1 Temam, Roger Meyer 1 Tröltzsch, Fredi 1 Vicente, Luis Nunes 1 von Stryk, Oskar all top 5 Cited in 7 Serials 2 Computational Optimization and Applications 1 Journal of Fluid Mechanics 1 ACM Transactions on Mathematical Software 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations all top 5 Cited in 8 Fields 11 Numerical analysis (65-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Citations by Year