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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 42833 (05)
- University: Sharif University of Technology
- Department: Electrical Engineering
- Advisor(s): Shishegar, Amir Ahmad
- Abstract:
- In this dissertation, hybrid meshless method for electromagnetic wave scattering has been presented. The idea of the dissertation is the use of two robust meshless shape functions i.e. MLS and RPIM simultaneously to solve differential and integral equations from 3D scattering equations respectively. Finite element method (FEM) and method of moments (MoM) are used extremely for computing scattering problems. These methods are powerful and their results are accurate enough. One of their disadvantages is the need of mesh generation. Mesh generation in FEM is a time consuming process. Furthermore, in electromagnetic problems that involve geometrical, the use of an underlying mesh creates difficulties in the treatment of discontinuities and decreases the accuracy of simulation results. Meshless methods are of more interest as powerful methods in recent years. The advantages of these methods compared to the usual numerical methods like FEM and MoM lie on no mesh requirement. This yields to smooth functions which are continuous over the domain and have good treatment in geometrical discontinuities and in time domain. Meshless methods successfully have been applied in 2D electromagnetic wave scattering in recent years. In this dissertation some meshless methods is applied to electromagnetic scattering problems to evaluate their advantages and disadvantages then robust method are chosen. The main contribution of this dissertation is combining collocation meshless method using RPIM and MLS shape functions to analyze the 3D electromagnetic wave scattering problems. 3D scattering has integral and differential forms. RPIM shape function is used for its continuity derivatives and high ability of interpolation to solve differential equation and MLS function is used to solve integral equation because of its compactness. This decreases integration cells and considerably reduces computation time. Actually using represented hybrid meshless method leads to significant reduce in time when the solution is still enough accurate.
- Keywords:
- Meshless Method ; Element Free Galerkin Method (EFGM) ; Platform Independent Model (PIM) ; Meshless Local Petrov-Galerkin (MLPG)Method ; Electromagnetic Wave Scattering ; Moving Least Squares Approximation ; Collocation Mesh Less Method
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محتواي پايان نامه
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