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Optimization Methods and Software(15)
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International Series of Numerical Mathematics(4)
Lecture Notes in Computational Science and Engineering(4)
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Ciencias de la computación(36)
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Characterizing and testing subdifferential regularity in piecewise smooth optimization
ArticleAbstract: Functions defined by evaluation programs involving smooth elementals and absolute values as well asPalabras claves:abs-normal form, Clarke generalized gradient, First-order-convexity, Linear independence kink qualification, Mangasarin–Fromovitz kink qualification, Mordukhovich subdifferential, Subdifferential regularityAutores:Andreas Griewank, Walther A.Fuentes:scopusCircumventing storage limitations in Variational data assimilation studies
ArticleAbstract: An application of Pontryagin's maximum principle data assimilation is used to blend possibly incomplPalabras claves:Adjoint model, Climate, Gradient, Meteorology, Natural resources recovery, Recursion, STORAGE, variational data assimilationAutores:Andreas Griewank, Leaf G.K., Restrepo J.M.Fuentes:scopusComputation of cusp singularities for operator equations and their discretizations
ArticleAbstract: We discuss the direct calculation of cusp singularities as solutions of a minimally augmented definiPalabras claves:cubic turning point, fold defining system, minimal augmentation, Newton's method, Numerical bifurcation, projection discretization, reduced system, winged cuspAutores:Andreas Griewank, Reddien G.Fuentes:scopusAutomated extension of fixed point PDE solvers for optimal design with bounded retardation
Book PartAbstract: We study PDE-constrained optimization problems where the state equation is solved by a pseudo-time sPalabras claves:Aerodynamic shape optimization, Augmented Lagrangian, Automatic differentiation, Climate model, Exact penalty function, Fixed point solvers, Nonlinear optimization, parameter optimizationAutores:Andreas Griewank, Gauger N.R., Hamdi A., Kratzenstein C., Özkaya E., Slawig T.Fuentes:scopusAutomatic differentiation of advanced CFD codes for multidisciplinary design
ArticleAbstract: Automated multidisciplinary design of aircraft and other flight vehicles requires the optimization oPalabras claves:Autores:Andreas Griewank, Bischof C., Corliss G.F., Green L., Haigler K., Newman P.Fuentes:scopusAutomatic evaluations of cross-derivatives
ArticleAbstract: Cross-derivatives are mixed partial derivatives involving at most one differentiation in each one ofPalabras claves:Autores:Andreas Griewank, Lehmann L., Leovey H., Zilberman M.Fuentes:scopusBeyond the oracle: Opportunities of piecewise differentiation
Book PartAbstract: For more than 30 years much of the research and development in nonsmooth optimization has been pbkp_Palabras claves:Autores:Andreas Griewank, Walther A.Fuentes:scopusAn algorithm for nonsmooth optimization by successive piecewise linearization
ArticleAbstract: We present an optimization method for Lipschitz continuous, piecewise smooth (PS) objective functionPalabras claves:abs-normal form, Algorithmic differentiation, Clarke stationary, Nonsmooth optimization, Piecewise smoothnessAutores:Andreas Griewank, Fiege S., Walther A.Fuentes:scopusAn algorithm for pointwise evaluation of polyconvex envelopes II: generalization and numerical results
ArticleAbstract: In the first part of this paper (Afrika Matematika 1–24, 2011) we introduced a method for computingPalabras claves:Alternating procedure, Convergence proof, Energy densities, Numerical results, Tangent plane criterionAutores:Andreas Griewank, Bosse T., Eneya L.Fuentes:scopusA Study of the sensitivity of response spectral amplitudes on seismological parameters using algorithmic differentiation
ArticleAbstract: Response spectra are of fundamental importance in earthquake engineering and represent a standard mePalabras claves:Autores:Andreas Griewank, Kuehn N., Molkenthin C., Scherbaum F., Stafford P.J.Fuentes:scopus