Fast and accurate analysis of phased array antennas using a hybrid discontinuous Galerkin finite element domain decomposition scheme

Date

2023-8

Author

Doğan, Doğanay

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A method to accurately analyze large phased arrays is developed after investigating some basic discontinuous Galerkin schemes for FEM in 1D and 2D cases. The Technique is formulated with a 3D discontinuous Galerkin scheme at the element-element interfaces but with a continuous Galerkin scheme inside each element’s sub-domain. A single element, isolated sub-domain is solved and the field information inside element sub-domains is discarded while keeping the information at the interfaces to achieve high memory and time efficiency. The replicated sub-domains are then connected with each other in an iteration-less manner through the kept information at the boundaries. A further, optional speed-up is achieved through employing a form of characteristic basis functions approach with a trade-off in accuracy. The proposed method’s accuracy and computational efficiency are compared with commercial EM solvers through some sample numerical solutions.

Subject Keywords

Phased Arrays, Discontinuous Galerkin, FEM, Domain Decomposition, Characteristic Basis Functions

URI

https://hdl.handle.net/11511/105129

Collections

Graduate School of Natural and Applied Sciences, Thesis