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Optimization Methods and Software(3)
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Constrained Optimization and Optimal Control for Partial Differential Equations(2)
Lecture Notes in Computational Science and Engineering(2)
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Optimización matemática(24)
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scopus(24)
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: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: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:scopusConstrained optimization and optimal control for partial differential equations
BookAbstract: This special volume focuses on optimization and control of processes governed by partial differentiaPalabras claves:Autores:Andreas Griewank, Engell S., Hinze M., Leugering G., Rannacher R., Schulz V., Ulbrich M., Ulbrich S.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:scopusApplication of AD-based Quasi-Newton Methods to Stiff ODEs
ArticleAbstract: Systems of stiff ordinary differential equations (ODEs) can be integrated properly only by implicitPalabras claves:Adjoint-based update, ADOL-C, Quasi-Newton, Scaling invariance, Stiff ODEAutores:Andreas Griewank, Schlenkrich S., Walther A.Fuentes:scopusExtension of fixed point PDE solvers for optimal design by one-shot method: With first applications to aerodynamic shape optimization
ArticleAbstract: This paper concerns mathematical methods, algorithmic techniques and software tools for the transitiPalabras claves:Automated optimal design, One-shotAutores:Andreas Griewank, Gauger N.R., Riehme J.Fuentes:scopusEfficient accurate numerical treatment of the modified Burgers' equation
ArticleAbstract: In this article, we propose a non-polynomial spline-based method to obtain numerical solutions of thPalabras claves:accuracy, Non-linear modified Burgers' equation, Non-polynomial spline, Von Neumann stabilityAutores:Andreas Griewank, El-Danaf T.S.Fuentes:scopusNonsmooth optimization by successive abs-linearization in function spaces
ArticleAbstract: We present and analyze the solution of nonsmooth optimization problems by a quadratic overestimationPalabras claves:Abs-linearization, first-order minimality, Jen-Chih Yao, quadratic overestimation methodAutores:Andreas Griewank, Schmidt S., Walther A., Weiß O.Fuentes:scopus