Application of Hierarchical Higher-order Tangential Vector Finite Elements in a Hybrid FEM/MoM Method

Abstract

Hybrid FEM/MoM methods combine the finite element method (FEM) and the method of moments (MoM) to model inhomogeneous unbounded problems. These two methods are coupled by enforcing field continuity on the boundary that separates the FEM and MoM regions. Hierarchical higher-order tangential vector finite elements (TVFE's) are of practical interest because they can be easily combined with low-order elements to improve the accuracy of numerical solutions. This paper presents a hybrid FEM/MoM formulation applying a set of hierarchical TVFE's developed by Webb and Forghani. Higher-order FEM elements are coupled to MoM elements based on Rao-Wilton-Glisson (RWG) functions. The FEM matrix assembly procedure is described in sufficient detail to aid other investigators who wish to develop codes employing this technique. Three practical electromagnetic problems are presented that demonstrate the advantages of the higher-order elements.

Department(s)

Electrical and Computer Engineering

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2003 Applied Computational Electromagnetics Society (ACES), All rights reserved.

Publication Date

01 Mar 2003

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