Discontinuous Galerkin Finite Element Method for Electromagnetic Structure Analysis: Validation and Applications

Date

2024-9-5

Author

Çalış, Talha

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In the realm of computational electromagnetics, the Discontinuous Galerkin (DG) method stands as a robust and versatile approach for solving complex problems. This thesis focuses on the development and implementation of a three-dimensional Finite Element Method (FEM) solver by utilizing the Discontinuous Galerkin technique. The distinguishing feature of this method lies in its utilization of distinct basis functions across tetrahedral elements, interconnected through flux terms within the governing 2.s. An interior penalty term is introduced to account for the continuity between adjacent basis functions, enabling a seamless representation of discontinuities while preserving computational efficiency. One of the key advantages of the DG method is its ability to accommodate high-order basis functions. Also, its intrinsic flexibility allows for the seamless integration of distinct domains, enabling the simulation of finite arrays with individual cells. This study is an attempt to adapt the discontinuous Galerkin method to a three-dimensional finite element method algorithm. The method is verified by means of some practical applications, by using the code developed for this purpose.

Subject Keywords

Computational Electromagnetics, Finite Element Method, Discontinuous Galerkin Method

URI

https://hdl.handle.net/11511/111527

Collections

Graduate School of Natural and Applied Sciences, Thesis