General-Purpose Characteristic Basis Finite Element Method for Multi-Scale Electrostatic and Electromagnetic Problems

Date

2010-01-01

Author

Ozgun, Ozlem
Mittra, Raj
Kuzuoğlu, Mustafa

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This article presents a noniterative and parallel finite element technique that is tailored for a wide class of electromagnetic boundary problems, covering both quasi-static and time-harmonic regimes. This approach, called the characteristic basis finite element method, combines the domain decomposition technique with the use of characteristic basis functions that are generated by employing a finite number of point charges or dipole-type sources, depending upon whether work is being done in a quasi-static or a time-harmonic regime. Two major advantages of this method are considerable reduction in the matrix size and convenient parallelization, both of which make possible the direct solution of multi-scale problems in an efficient manner. For the static case, the problem of computing the capacitance matrices of 3D interconnects in integrated circuit packaging is considered. For the time-harmonic case, the proposed method is applied to 3D electromagnetic scattering problems. The accuracy of the proposed technique has been validated via a number of numerical simulations, covering a wide variety of configurations.

Subject Keywords

Electrical and Electronic Engineering, Electronic, Optical and Magnetic Materials, Radiation

URI

https://hdl.handle.net/11511/47414

Journal

ELECTROMAGNETICS

DOI

https://doi.org/10.1080/02726340903485505

Collections

Department of Electrical and Electronics Engineering, Article

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Citation Formats

O. Ozgun, R. Mittra, and M. Kuzuoğlu, “General-Purpose Characteristic Basis Finite Element Method for Multi-Scale Electrostatic and Electromagnetic Problems,” ELECTROMAGNETICS, pp. 205–221, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47414.