Journal article
An interface-enriched generalized finite element analysis for electromagnetic problems with non-conformal discretizations
International journal of numerical modelling, v 29(2), pp 265-279
01 Mar 2016
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
An interface-enriched generalized finite element method is presented for analyzing electromagnetic problems involving highly inhomogeneous materials. To avoid creating conformal meshes within a complex computational domain and preparing multiple meshes during optimization, enriched vector basis functions are introduced over the finite elements that intersect the material interfaces to capture the normal derivative discontinuity of the tangential field component. These enrichment functions are directly constructed from a linear combination of the vector basis functions of the sub-elements. Several numerical examples are presented to verify the method with analytical solutions and demonstrate its h-refinement convergence rate. The proposed interface-enriched generalized finite element method is shown to achieve the same level of accuracy as the standard finite element method based on conformal meshes. Two examples, involving multiple microvascular channels and circular inclusions of different radii, are analyzed to illustrate the capability of the proposed approach in handling complicated inhomogeneous geometries. Copyright (c) 2015John Wiley & Sons, Ltd.
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Details
- Title
- An interface-enriched generalized finite element analysis for electromagnetic problems with non-conformal discretizations
- Creators
- Kedi Zhang - University of Illinois Urbana-ChampaignAhmad Raeisi Najafi - University of Illinois Urbana-ChampaignJian-Ming Jin - University of Illinois Urbana-ChampaignPhilippe H. Geubelle - University of Illinois Urbana-Champaign
- Publication Details
- International journal of numerical modelling, v 29(2), pp 265-279
- Publisher
- Wiley
- Number of pages
- 15
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:000369873000012
- Scopus ID
- 2-s2.0-84957439326
- Other Identifier
- 991020531844104721
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InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Engineering, Electrical & Electronic
- Mathematics, Interdisciplinary Applications