Meshless methods in dual analysis: Theoretical and implementation issues

Meshless Methods in Dual Analysis: Theoretical and Implementation Issues

Abstract. This paper presents a meshless implementation for the dual analysis of 2D linear elasticity problems. The derivation of the governing system of equations for the discretized equilibrated model is detailed. Crucial implementation issues of the equilibrated algorithm are described. It presents the inf-sup condition for particular cases of essential boundary conditions approximations whe...

Theoretical Analysis of Polarization Rotation angle in Dual Reflector Antenna

Because of special structure, a dual reflector antenna has beam rotation capability in azimuth and elevation directions. In this structure, the antenna beam can be placed in any point in the space by mechanical movement of twist reflector which it is the most important ability of the antenna. Due to the antenna structure, if the polarization of incident wave is linear, it is expected that the p...

Meshless methods: A review and computer implementation aspects

The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enr...

Application of Meshless Methods for Thermal Analysis

Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities. The meshless method is simple, accurate, and requires no polygonalisation. In this study, we focus on the application of meshless methods using radial basis functions (RBFs) – w...

Theoretical and Empirical Issues in Demand Analysis