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008 | 150903s2009 gw | o |||| 0|eng d | ||
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_a9783834893963 _99783834893963 |
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024 | 7 |
_a10.1007/9783834893963 _2doi |
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_a201509031023 _bVLOAD _c201405070342 _dVLOAD _y201402211144 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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_aHeld, Harald. _eautor _9349460 |
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_aShape Optimization under Uncertainty from a Stochastic Programming Point of View / _cby Harald Held. |
264 | 1 |
_aWiesbaden : _bVieweg+Teubner, _c2009. |
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300 |
_a148 páginas 39 ilustraciones, 26 ilustraciones en color. _brecurso en línea. |
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_atexto _btxt _2rdacontent |
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_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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500 | _aSpringer eBooks | ||
520 | _aOptimization problems are relevant in many areas of technical, industrial, and economic applications. At the same time, they pose challenging mathematical research problems in numerical analysis and optimization. Harald Held considers an elastic body subjected to uncertain internal and external forces. Since simply averaging the possible loadings will result in a structure that might not be robust for the individual loadings, he uses techniques from level set based shape optimization and two-stage stochastic programming. Taking advantage of the PDE’s linearity, he is able to compute solutions for an arbitrary number of scenarios without significantly increasing the computational effort. The author applies a gradient method using the shape derivative and the topological gradient to minimize, e.g., the compliance . and shows that the obtained solutions strongly depend on the initial guess, in particular its topology. The stochastic programming perspective also allows incorporating risk measures into the model which might be a more appropriate objective in many practical applications. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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_iEdición impresa: _z9783834809094 |
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_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-8348-9396-3 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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