The goal of this thesis is to show how to derive in a completely automated way exact and global worst-case guarantees for first-order methods in convex optimization. To this end, we formulate a generic optimization problem looking for the worst-case scenarios. The worst-case computation problems, referred to as performance estimation problems (PEPs), are intrinsically infinite-dimensional optim...

This study focuses on the shape optimization of concrete gravity dams considering dam–water–foundation interaction and nonlinear effects subject to earthquake. The concrete gravity dam is considered as a two–dimensional structure involving the geometry and material nonlinearity effects. For the description of the nonlinear behavior of concrete material under earthquake loads, the Drucker–Prager...

The need for simulation of human foot mechanism has made researchers and engineers move towards different patterns to describe this movement. In this regard, optimal solutions such as energy consumption, accuracy, etc. are of utmost importance. In this paper, efforts have been made to present a new solution by designing a fully two-dimensional six-bar mechanism with one degree of freedom so tha...

Abstract: Condition numbers for infinite-dimensional optimization, as defined in Zolezzi (2002, 2003), are shown to exhibit a stable behavior when employing finite-dimensional solution methods of the Ritz type, in particular finite elements. The same behavior is shown to hold in connection with the so called extended Ritz method.

This work discusses an approach, Ž rst-order approximation andmodelmanagement optimization (AMMO), for solving design optimization problems that involve computationally expensive simulations. AMMO maximizes the use of lower-Ž delity, cheaper models in iterative procedures with occasional, but systematic, recourse to higherŽ delity, more expensive models for monitoring the progress of design opt...

This paper presents an optimization design method for centrifugal compressors based on one-dimensional calculations and analyses. It consists of two parts: (1) centrifugal compressor geometry optimization based on one-dimensional calculations and (2) matching optimization of the vaned diffuser with an impeller based on the required throat area. A low pressure stage centrifugal compressor in a M...

This paper describes a study of comparison of application of global and one-dimensional local optimization methods to operating system scheduler tuning. The operating system scheduler we use is the Linux 2.6.23 Completely Fair Scheduler (CFS) running in a simulator (LinSched). We have ported the Hackbench scheduler benchmark to this simulator and use this as the workload. The global optimizatio...