We consider a class of nonsmooth optimization problems over the Stiefel manifold, in which objective function is weakly convex ambient Euclidean space. Such are ubiquitous engineering applications but still largely unexplored. present family Riemannian subgradient-type methods---namely subgradient, incremental and stochastic subgradient methods---to solve these show that they all have an iterat...

The electromagnetic frequency spectrum is divided into different sub-frequency bands. These bands are allocated for applications. In these days, devices operating in multiple provide significant advantages. Devices require antenna structures to operate Microstrip antennas have become prominent with their small size, portable and easy integration other systems. this study, microstrip structure w...

Abstract Optimization of the Levelized Cost Energy (LCoE) in wind farms helps ensure profitability and competitiveness project. Recent work has explored driving down LCoE by allowing multiple turbines a single farm - with different hub heights, rotor diameters, rated powers. In this work, we performed optimization Lillgrund continuously varying hub-heights to mitigate wake interference, improve...

Three blade-geometry optimization models derived along with assumptions from the blade element momentum (BEM) approach are studied by using a steady BEM code to improve small horizontal-axis rotor of three blades that has been previously used in experiments. The base linear-radially varying chord length and pitch angle, while other noted as Burton, Implicit Hansen due their references character...

Abstract The ability to efficiently solve topology optimization problems is of great importance for many practical applications. Hence, there a demand efficient solution algorithms. In this paper, we propose novel quasi-Newton methods solving PDE-constrained problems. Our approach based on and extends the popular algorithm Amstutz Andrä (J Comput Phys 216: 573–588, 2006). To do so, introduce ne...