NDLI: Development of Generalized Finite Element Method for Vector Electromagnetic Problems

Content Provider	IEEE Xplore Digital Library
Author	Lu, C. Shanker, B.
Copyright Year	2006
Description	Author affiliation: Michigan State Univ., East Lansing, MI (Lu, C.; Shanker, B.)
Abstract	Generalized finite element methods, introduces a partition of unity framework that can encompass a host of finite element based technique for solution to scalar partial differential equations. These include the classical finite elements that are based on tessellation as well as point cloud techniques and the element free Galerkin methods. When generalized FEM (GFEM) has been developed for scalar problems, the generalization of GFEM to address problems in computational electromagnetics poses unique challenges: (i) the vector nature of the problem and the different continuity requirements on each component imply that basis functions developed share similar characteristics; (ii) the basis functions have to be divergence free (approximately) in a source free domain. These two have been the primary impediments to extension of this technique. In this paper, we propose methods that may be used to overcome these. We demonstrate the h and p convergence characteristics of the proposed method for a range of problems
Sponsorship	Motorola Air Force Office of Sci. Res. ANSOFT
Starting Page	1749
Ending Page	1752
File Size	118070
Page Count	4
File Format	PDF
ISBN	1424401232
DOI	10.1109/APS.2006.1710903
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-07-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite element methods Convergence Partial differential equations Clouds Moment methods Computational electromagnetics Impedance Differential equations Magnetic fields Testing
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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