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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Tuncer, O. Shanker, B. Kempel, L.C. |
| Copyright Year | 2010 |
| Description | Author affiliation: 2120 Engineering Building, Dept. ECE, Michigan State University, East Lansing, MI 48824 (Tuncer, O.; Shanker, B.; Kempel, L.C.) |
| Abstract | Vector generalized finite element method (VGFEM) has been successfully applied to solve open and closed domain electromagnetic problems [1, 2]. Theoretically, VGFEM is a powerful technique as it permits the use of a wide range of function spaces, and provides a rigorous framework for including different approximation spaces seamlessly. Doing so can provide better approximation, and perhaps, more efficient simulations. The first step in VGFEM is to define a partition of unity (PU) domain, or the domain of approximation function. In a departure from using the canonical domains as the PU domains [1], a methodology that permits the use of union of polyhedra has been developed and validated [2], where polyhedra can be transformed into a brick element. In this paper, our goal is two fold: (i) we will develop a framework for defining the PU domains as union of tetrahedrals, and (ii) integrate VGFEM with FEM. The extension of the VGFEM framework on tetrahedral elements is not straightforward since (i) definition of the PU function on an arbitrary polyhedra is difficult, and (ii) one needs to carefully handle the coupling of FEM and VGFEM basis functions. This paper presents the means through which these difficulties can be overcome. The rest of the paper is organized as follows: In the next Section, we present the framework of VGFEM with tetrahedral elements, and then explain the hybrid FEM-VGFEM technique. The new VGFEM framework is validated via a a set of simulations. Finally, conclusions and the future research are presented in the last Section. |
| Starting Page | 1 |
| Ending Page | 4 |
| File Size | 253786 |
| Page Count | 4 |
| File Format | |
| ISBN | 9781424449675 |
| ISSN | 15223965 |
| DOI | 10.1109/APS.2010.5561926 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-07-11 |
| Publisher Place | Canada |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Finite element methods Convergence Approximation methods Propagation Cavity resonators Eigenvalues and eigenfunctions Electromagnetics |
| Content Type | Text |
| Resource Type | Article |
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