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Afrika Matematika(2)
International Series of Numerical Mathematics(2)
Computational Optimization and Applications(1)
Journal of the Institute of Brewing(1)
Lecture Notes in Computational Science and Engineering(1)
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An 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 method for pointwise evaluation of polyconvex envelopes
ArticleAbstract: We investigate a method for computing the value of a polyconvex envelope at a given feed A0 ∈ ℝm×n.Palabras claves:General position, Optimization, Polyconvex envelopes, Stability testAutores:Andreas Griewank, Bosse T., Eneya L.Fuentes:scopusCubic overestimation and secant updating for unconstrained optimization of C <sup>2, 1</sup> functions
ArticleAbstract: The discrepancy between an objective function f and its local quadratic model f(x)+ f(x) s+s H(x) s/Palabras claves:compromise update, cubic overestimation, eigenvalue decomposition, Quasi-Newton, unconstrained optimizationAutores:Andreas Griewank, Bosse T., Fischer J.Fuentes:scopusAdaptive sequencing of primal, dual, and design steps in simulation based optimization
ArticleAbstract: Many researchers have used Oneshot optimization methods based on user-specified primal state iteratiPalabras claves:Algorithmic differentiation, Bounded retardation factor, Convergence rates, Eigenvalue analysis, Multistep Oneshot, Optimization, PDE constraint, Preconditioning matrices, Second order sufficiency conditionsAutores:Andreas Griewank, Bosse T., Lehmann L.Fuentes:scopusOn Lipschitz optimization based on gray-box piecewise linearization
ArticleAbstract: We address the problem of minimizing objectives from the class of piecewise differentiable functionsPalabras claves:abs-normal form, Algorithmic differentiation, bundle methods, Nonsmooth optimization, Piecewise linearityAutores:Andreas Griewank, Bosse T., Fiege S., Walther A.Fuentes:scopusOn hessian- and jacobian-free SQP methods - A total quasi-Newton scheme with compact storage
Book PartAbstract: In this paper we describe several modifications to reduce the memory requirement of the total quasi-Palabras claves:Algorithmic differentiation, BFGS, Compact representation (with damping), Limited-memory, NLP, Symmetric rank-one update, Total quasi-Newton methodAutores:Andreas Griewank, Bosse T., Lehmann L., Schlohauer V.Fuentes:scopusOne-shot approaches to design optimzation
Book PartAbstract: The paper describes general methodologies for the solution of design optimization problems. In partiPalabras claves:Automatic differentiation, convergence, Fixed-point solver, Numerics, Optimization, PDE, Retardation factor, SimulationAutores:Andreas Griewank, Bosse T., Gauger N.R., Günther S., Schulz V.Fuentes:scopusOptimal control of beer fermentation processes with Lipschitz-constraint on the control
ArticleAbstract: Nowadays, one can find in almost all industrial products a trail of mathematical optimization. In paPalabras claves:Fermentation process of beer, Forward-backward sweeping methods, Numerical results, Optimal control with control constraintsAutores:Andreas Griewank, Bosse T.Fuentes:scopusOptimal design with bounded retardation for problems with non-separable adjoints
Book PartAbstract: In the natural and enginiering sciences numerous sophisticated simulation models involving PDEs havePalabras claves:Automatic differentiation, Fixed-point solver, Numerics, One-shot, Optimization, PDE, Piggyback, Retardation factor, SimulationAutores:Andreas Griewank, Bosse T., Gauger N.R., Günther S., Kaland L., Kratzenstein C., Lehmann L., Nemili A., Özkaya E., Slawig T.Fuentes:scopusThe relative cost of function and derivative evaluations in the CUTEr test set
Conference ObjectAbstract: The CUTEr test set represents a testing environment for nonlinear optimization solvers containing moPalabras claves:Automatic differentiation, CUTEr test set, Linear Algebra, numerical analysis, run-TimeAutores:Andreas Griewank, Bosse T.Fuentes:scopus