Open Access

ARTICLE

Hierarchical Vector Finite Elements with p-Type non-Overlapping Schwarz Method for Modeling Waveguide Discontinuities

Jin Fa Lee¹, Robert Lee², Fernando Teixeira³

1 ElectroScience Lab., Electrical Engineering Dept., The Ohio State University, Columbus, OH 43212 USA (telephone: 614-292-7270, e-mail: jinlee@ee.eng.ohio-state.edu).
2 ElectroScience Lab., Electrical Engineering Dept., The Ohio State University, Columbus, OH 43212 USA (e-mail: lee@ee.eng.ohio-state.edu).
3 ElectroScience Lab., Electrical Engineering Dept., The Ohio State University, Columbus, OH 43212 USA (e-mail: teixeira@ee.eng.ohio-state.edu).

Computer Modeling in Engineering & Sciences 2004, 5(5), 423-434. https://doi.org/10.3970/cmes.2004.005.423

Abstract

This paper presents the application of a p-type Multiplicative Schwarz Method (pMUS) for solving three dimensional waveguide discontinuity with arbitrary shapes. The major ingredients of current approach are: a hierarchical curl-conforming basis functions that incorporates an in-exact Helmholtz decomposition; and, treating each polynomial space (or basis functions group) as an abstract grid/domain in the Schwarz method. Various numerical examples are studied using the proposed approach. The performance has been compared to currently available commercial software and demonstrated superior performance in terms of accuracy as well as efficiency.

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