000 03185nam a22005415i 4500
001 978-3-7091-1794-1
003 DE-He213
005 20200420221253.0
007 cr nn 008mamaa
008 140902s2014 au | s |||| 0|eng d
020 _a9783709117941
_9978-3-7091-1794-1
024 7 _a10.1007/978-3-7091-1794-1
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aSCI041000
_2bisacsh
082 0 4 _a620.1
_223
245 1 0 _aSeparated Representations and PGD-Based Model Reduction
_h[electronic resource] :
_bFundamentals and Applications /
_cedited by Francisco Chinesta, Pierre Ladev�eze.
250 _a1.
264 1 _aVienna :
_bSpringer Vienna :
_bImprint: Springer,
_c2014.
300 _aVII, 227 p. 74 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCISM International Centre for Mechanical Sciences,
_x0254-1971 ;
_v554
505 0 _aFrom the Contents: Model order reduction based on proper orthogonal decomposition: Model reduction: extracting relevant information -- Interpolation of reduced basis: a geometrical approach -- POD for non-linear models.
520 _aThe papers in this volume start with a description of  the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a  new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,...), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.
650 0 _aEngineering.
650 0 _aComputer-aided engineering.
650 0 _aComputer mathematics.
650 0 _aMechanics.
650 0 _aMechanics, Applied.
650 1 4 _aEngineering.
650 2 4 _aTheoretical and Applied Mechanics.
650 2 4 _aComputational Science and Engineering.
650 2 4 _aComputer-Aided Engineering (CAD, CAE) and Design.
700 1 _aChinesta, Francisco.
_eeditor.
700 1 _aLadev�eze, Pierre.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783709117934
830 0 _aCISM International Centre for Mechanical Sciences,
_x0254-1971 ;
_v554
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7091-1794-1
912 _aZDB-2-ENG
942 _cEBK
999 _c52722
_d52722