| Summary: | 碩士 === 國立交通大學 === 電信工程系所 === 93 === When the method of moments (MOM) is applied to solve the electric field integral equation (EFIE) for electromagnetic radiation and scattering problems, the accuracy of solutions greatly depends on a proper discretization of the simulated domain. Most of time, the grid distribution needs to be manually tuned for getting an accurate solution. In this thesis, we propose a mesh refinement algorithm that adapts meshes to EFIE solutions by splitting elements (h-refinement) and relocating nodes (r-refinement). Using a divide-and-conquer Delaunay triangulation, an initial mesh is generated with equally spaced seeds on the surfaces of the simulated structure. Then the mesh is iteratively refined according the current distribution on the surface. The refinement process automatically terminates when the current distribution converges or when preset criteria, such as the smallest edge length and the maximum pass of refinement, are met. In order to expedite the iterative refinement process, the current is calculated only by the near-interaction terms of the MOM impedance matrix. The adaptive mesh refinement algorithm is further applied to solve radiation and scattering from metallic structures.
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