The optimal shape of roots

Shape-Measure Method for Solving Elliptic Optimal Shape Problems (Fixed Control Case)

OPTIMAL SHAPE DESIGN OF GRAVITY DAMS BASED ON A HYBRID META-HERURISTIC METHOD AND WEIGHTED LEAST SQUARES SUPPORT VECTOR MACHINE

A hybrid meta-heuristic optimization method is introduced to efficiently find the optimal shape of concrete gravity dams including dam-water-foundation rock interaction subjected to earthquake loading. The hybrid meta-heuristic optimization method is based on a hybrid of gravitational search algorithm (GSA) and particle swarm optimization (PSO), which is called GSA-PSO. The operation of GSA-PSO...

Determining optimal value of the shape parameter $c$ in RBF for unequal distances topographical points by Cross-Validation algorithm

Several radial basis function based methods contain a free shape parameter which has  a crucial role in the accuracy of the methods. Performance evaluation of this parameter in different  functions with various data has always been a topic of study. In the present paper, we consider studying the methods which determine an optimal value for the shape parameter in interpolations of radial basis  ...

Implementation of Control Variables to Exploit Output Power for SRGs in Single Pulse Mode Operation

This paper presents an analytical modeling method of optimal control variables to maximize output power for switched reluctance generators (SRGs) in single pulse mode operation. This method extends the basic theory of the Stiebler model and utilizes the flux linkage function to express the inductance model of SRG. In this paper, the optimal phase current shape of SRG for maximum output power is...

ON OPTIMAL NOZZLE SHAPES OF GAS-DYNAMIC LASERS

Pontryagin's principle is used to study the shape of the supersonic part of the nozzle of a carbon dioxide gas-dynamic laser whose gain is maximal. The exact shape is obtained for the uncoupled approximation of Anderson's bimodal model. In this case, if sharp corners are allowed, the ceiling of the supersonic part consists of a slant rectangular sheet followed by a horizontal one; otherwise...