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  • Articles: DFG German National Licenses  (4)
  • Chemical Engineering  (2)
  • duality  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Partially finite convex programming, Part I: Quasi relative interiors and duality theory (1992)
    Springer
    Mathematical programming 57 (1992), S. 15-48 
    Details
    ISSN: 1436-4646
    Keywords: Primary 90C25, 49B27 ; Secondary 90C48, 52A07, 65K05 ; Convex programming ; duality ; constraint qualification ; Fenchel duality ; semi-infinite programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We study convex programs that involve the minimization of a convex function over a convex subset of a topological vector space, subject to a finite number of linear inequalities. We develop the notion of the quasi relative interior of a convex set, an extension of the relative interior in finite dimensions. We use this idea in a constraint qualification for a fundamental Fenchel duality result, and then deduce duality results for these problems despite the almost invariable failure of the standard Slater condition. Part II of this work studies applications to more concrete models, whose dual problems are often finite-dimensional and computationally tractable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01581072
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Partially finite convex programming, Part II: Explicit lattice models (1992)
    Springer
    Mathematical programming 57 (1992), S. 49-83 
    Details
    ISSN: 1436-4646
    Keywords: Primary 90C25, 49B27 ; Secondary 90C48, 52A07, 65K05 ; Convex programming ; duality ; constraint qualification ; semi-infinite programming ; constrained approximation ; spectral estimation ; transportation problem
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In Part I of this work we derived a duality theorem for partially finite convex programs, problems for which the standard Slater condition fails almost invariably. Our result depended on a constraint qualification involving the notion ofquasi relative interior. The derivation of the primal solution from a dual solution depended on the differentiability of the dual objective function: the differentiability of various convex functions in lattices was considered at the end of Part I. In Part II we shall apply our results to a number of more concrete problems, including variants of semi-infinite linear programming,L 1 approximation, constrained approximation and interpolation, spectral estimation, semi-infinite transportation problems and the generalized market area problem of Lowe and Hurter (1976). As in Part I, we shall use lattice notation extensively, but, as we illustrated there, in concrete examples lattice-theoretic ideas can be avoided, if preferred, by direct calculation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01581073
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Cocurrent membrane reactors vs. PFRs for shifting dehydrogenation equilibrium (1997)
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 43 (1997), S. 495-504 
    Details
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Notes: Membrane reactor performance in reversible reactions like dehydrogenation is often compared to plug-flow reactor performance. Analysis of cocurrent membrane-reactor design equations shows that as the Damköhler-Peclet product varies from 0 to ∞, the membrane reactor approaches a fully diluted or undiluted plug-flow reactor. If its yield is maximized by varying this parameter, the optimum cocurrent membrane reactor is often one of these limiting cases, and a membrane reactor offers no advantage over a plug-flow reactor. When the optimum membrane reactor does not correspond to one of these limiting cases, there still may be a plug-flow reactor system that offers equal or higher yields. Analysis of plug-flow-reactor performance indicates that there is an optimum degree of dilution; while the optimized membrane reactor yield may be greater than either an undiluted or a fully diluted plug-flow reactor; it may not be greater than an optimally diluted plug-flow reactor. When using porous membranes the membrane reactor yield is at most 7% greater than the yield using a plug-flow reactor. The porous membranes enhance the yields in a regime where the reactor would not be likely to operate. Much larger yield advantages are possible, but only when the membrane is highly permselective, as with dense membranes. Highly permselective membranes also enhance the yields in a regime where the membrane reactor process is likely to be operated.
    Additional Material: 12 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/aic.690430222
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Effect of cure history on dynamic mechanical properties of an epoxy resin (1979)
    Stamford, Conn. [u.a.] : Wiley-Blackwell
    Polymer Engineering and Science 19 (1979), S. 683-686 
    Details
    ISSN: 0032-3888
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: The effect of cure history on the dynamic thermomechanical properties of a high temperature curing epoxy resin has been studied using torsional braid analysis. In isothermal cures “full cure” is not possible except at temperatures above the maximum glass transition temperature (Tg) of the cured resin, hence the necessity of a “post-cure” after lower temperature isothermal cures. The highest Tg and maximum cross-linking in the cured resin was for a linear heating rate of 0.05°C/min from 30 to 200°C; higher heating rates lead to lower glass transition temperatures.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/pen.760191006
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    Paper (German National Licenses)
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