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Research and analysis of finite element / boundary integral method

Author: XiaAiLong
Tutor: YeXiaoDongï¼›ChenRuShan
School: Nanjing University of Technology and Engineering
Course: Electromagnetic Field and Microwave Technology
Keywords: Finite Element Method Finite element / boundary integral method Singular term extraction Finite element tearing docking method Half-space Multi - layer UV method
CLC: O441.4
Type: Master's thesis
Year: 2009
Downloads: 147
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In the field of computational electromagnetics , the finite element method is particularly suited to address the moment method is suitable for processing open domain with complex geometry problems . A collection of their respective advantages , the development of a hybrid algorithm : a finite element / boundary integral method ( FE - BI) . In this paper, the FE-BI method based binding domain decomposition method , the multilayer UV method , electromagnetic scattering problems , the main tasks include the following aspects : First, according to the basic principles of the finite element / boundary integral method , derived detailed formulas , discussion on the combination of boundary integral part of the equation , and present three methods for solving the FE-BI matrix equations . Then , a detailed discussion of the key technologies of the singularity extraction method of calculation of the impedance matrix elements in the mixed field integral equation using improved singular term extraction method to deal with the singularity points . Secondly , in order to analyze the frequency containing medium load selective surface , part of the finite element finite element tearing docking method , boundary integral part of the parallel fast multipole technology . For such a thin dielectric layer structure , due to the poor part of the finite element sparse matrix condition number , the destruction of the whole behavior of the FE-BI system matrix , the outer iteration steps increase , but convergence is slow . For this case , the finite element tearing butt portion ultimately reduce the matrix solution algorithm has been improved . In addition, in order to reduce the number of outer iteration step , we adopt FGMRES external iteration accelerated solution to save computation time . Finally , because of the needs of the target environment integrated modeling , this paper studied the electromagnetic scattering characteristics of the target object in a half-space environment . In addition , for accurate , quick calculation of the electromagnetic scattering characteristics of the target object in a complex environment , the introduction of a multi-layer UV method to reduce the impedance matrix elements fill time , ease the memory requirements .

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CLC: > Mathematical sciences and chemical > Physics > Electromagnetics,electrodynamics > Electricity and Magnetism > Electromagnetic waves and electromagnetic fields
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