An approach for robust PDE-constrained optimization with application to shape optimization of electrical engines and of dynamic elastic structures under uncertainty

Model Order Reduction Techniques with a Posteriori Error Control for Nonlinear Robust Optimization Governed by Partial Differential Equations

(2017) Oliver Lass et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Response Surface Models for the Uncertainty Quantification of Eccentric Permanent Magnet Synchronous Machines

(2016) Zeger Bontinck et al.   IEEE TRANSACTIONS ON MAGNETICS

A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles

(2016) Frank E. Curtis et al.   OPTIMIZATION METHODS & SOFTWARE

Risk-Averse PDE-Constrained Optimization Using the Conditional Value-At-Risk

(2016) D. P. Kouri et al.   SIAM JOURNAL ON OPTIMIZATION

Uncertainty Quantification and Sensitivity Analysis in Electrical Machines With Stochastically Varying Machine Parameters

(2015) Peter Offermann et al.   IEEE TRANSACTIONS ON MAGNETICS

Extended Brauer model for ferromagnetic materials: analysis and computation

(2014) Timo Hülsmann et al.   COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING

A polynomial chaos meta‐model for non‐linear stochastic magnet variations

(2013) Peter Offermann et al.   COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING

Recycling of rare earths: a critical review

(2013) Koen Binnemans et al.   JOURNAL OF CLEANER PRODUCTION

Nonlinear robust optimization via sequential convex bilevel programming

(2012) Boris Houska et al.   MATHEMATICAL PROGRAMMING

Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints

(2012) Hanne Tiesler et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization

(2012) Frank E. Curtis et al.   SIAM JOURNAL ON OPTIMIZATION

Theory and Applications of Robust Optimization

(2011) Dimitris Bertsimas et al.   SIAM REVIEW

Robust Optimization for Unconstrained Simulation-Based Problems

(2009) Dimitris Bertsimas et al.   OPERATIONS RESEARCH

Algorithm 873:

(2008) Marielba Rojas et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

(2008) G. Rozza et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Numerical solution approaches for robust nonlinear optimal control problems

(2007) Moritz Diehl et al.   COMPUTERS & CHEMICAL ENGINEERING