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International Series of Numerical Mathematics(2)
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A 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: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 the existence of convex decompositions of partially separable functions
ArticleAbstract: The concept of a partially separable function f developed in [4] is generalized to include all functPalabras claves:65F99, 65K05, 90C30, decomposition, Optimization, partial separability, Perfect Elimination, Positive Definite Matrices, sparsityAutores:Andreas Griewank, Toint P.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 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:scopus