000 03732nam a22005655i 4500
001 978-3-0348-0133-1
003 DE-He213
005 20140220083253.0
007 cr nn 008mamaa
008 120102s2012 sz | s |||| 0|eng d
020 _a9783034801331
_9978-3-0348-0133-1
024 7 _a10.1007/978-3-0348-0133-1
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aLeugering, Günter.
_eeditor.
245 1 0 _aConstrained Optimization and Optimal Control for Partial Differential Equations
_h[electronic resource] /
_cedited by Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich.
264 1 _aBasel :
_bSpringer Basel,
_c2012.
300 _aXI, 622p. 143 illus., 80 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInternational Series of Numerical Mathematics ;
_v160
505 0 _aIntroduction -- Constrained Optimization, Identification and Control -- Shape and Topology Optimization -- Model Reduction -- Discretization: Concepts and Analysis -- Applications.
520 _aThis special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aOptimization.
650 2 4 _aComputational Mathematics and Numerical Analysis.
700 1 _aEngell, Sebastian.
_eeditor.
700 1 _aGriewank, Andreas.
_eeditor.
700 1 _aHinze, Michael.
_eeditor.
700 1 _aRannacher, Rolf.
_eeditor.
700 1 _aSchulz, Volker.
_eeditor.
700 1 _aUlbrich, Michael.
_eeditor.
700 1 _aUlbrich, Stefan.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034801324
830 0 _aInternational Series of Numerical Mathematics ;
_v160
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0133-1
912 _aZDB-2-SMA
999 _c101706
_d101706