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Conference Paper: Finite element implementation of the generalized-Lorenz gauged A-Φ formulation for low-frequency circuit modeling
Title | Finite element implementation of the generalized-Lorenz gauged A-Φ formulation for low-frequency circuit modeling |
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Other Titles | Finite element implementation of the generalized-lorenz gauged A-phi formulation for low-frequency circuit modeling |
Authors | |
Issue Date | 2015 |
Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=7101753 |
Citation | The 31st International Review of Progress in Applied Computational Electromagnetics (ACES 2015), Williamsburg, VA., 22-26 March 2015. In Conference Proceedings, 2015 How to Cite? |
Abstract | The A-Φ formulation with generalized Lorenz gauge is free of catastrophic breakdown at low frequencies. In the formulation, A and Φ are completely separated and Maxwell's equations are reduced into two independent equations pertinent to A and Φ, respectively. This, however, leads to more complicated equations in contrast to the traditional A-Φ formulation, which makes the numerical representation of the physical quantities challenging, especially for A. By virtue of the differential forms theory and Whitney elements, both A and Φ are appropriately represented. The condition of the resultant matrix system is wellcontrolled as frequency becomes low, even approaches to 0. The generalized-Lorenz gauged A-Φ formulation is applied to model low-frequency circuits at μm lengthscale. |
Persistent Identifier | http://hdl.handle.net/10722/217375 |
DC Field | Value | Language |
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dc.contributor.author | Li, Y | - |
dc.contributor.author | Sun, S | - |
dc.contributor.author | Chew, WC | - |
dc.date.accessioned | 2015-09-18T05:57:50Z | - |
dc.date.available | 2015-09-18T05:57:50Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | The 31st International Review of Progress in Applied Computational Electromagnetics (ACES 2015), Williamsburg, VA., 22-26 March 2015. In Conference Proceedings, 2015 | - |
dc.identifier.uri | http://hdl.handle.net/10722/217375 | - |
dc.description.abstract | The A-Φ formulation with generalized Lorenz gauge is free of catastrophic breakdown at low frequencies. In the formulation, A and Φ are completely separated and Maxwell's equations are reduced into two independent equations pertinent to A and Φ, respectively. This, however, leads to more complicated equations in contrast to the traditional A-Φ formulation, which makes the numerical representation of the physical quantities challenging, especially for A. By virtue of the differential forms theory and Whitney elements, both A and Φ are appropriately represented. The condition of the resultant matrix system is wellcontrolled as frequency becomes low, even approaches to 0. The generalized-Lorenz gauged A-Φ formulation is applied to model low-frequency circuits at μm lengthscale. | - |
dc.language | eng | - |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=7101753 | - |
dc.relation.ispartof | International Review of Progress in Applied Computational Electromagnetics (ACES) | - |
dc.rights | International Review of Progress in Applied Computational Electromagnetics (ACES). Copyright © IEEE. | - |
dc.rights | ©2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. | - |
dc.title | Finite element implementation of the generalized-Lorenz gauged A-Φ formulation for low-frequency circuit modeling | - |
dc.title.alternative | Finite element implementation of the generalized-lorenz gauged A-phi formulation for low-frequency circuit modeling | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Sun, S: sunsheng@hku.hk | - |
dc.identifier.email | Chew, WC: wcchew@hkucc.hku.hk | - |
dc.identifier.authority | Sun, S=rp01431 | - |
dc.identifier.authority | Chew, WC=rp00656 | - |
dc.description.nature | postprint | - |
dc.identifier.scopus | eid_2-s2.0-84944710718 | - |
dc.identifier.hkuros | 254189 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 151123 | - |