Accurate Treatment of Nonconformal Material Interfaces in the Finite Integration Technique
We discuss a generalized strategy to model material interfaces in the finite integration technique (FIT) on Cartesian meshes. It originates from the exact formula for the ratio of grid fluxes and grid voltages, which requires a priori knowledge of the local fields. For axis-parallel material interfa...
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Veröffentlicht in: | IEEE transactions on magnetics 2016-03, Vol.52 (3), p.1-4 |
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description | We discuss a generalized strategy to model material interfaces in the finite integration technique (FIT) on Cartesian meshes. It originates from the exact formula for the ratio of grid fluxes and grid voltages, which requires a priori knowledge of the local fields. For axis-parallel material interfaces, this field information is canceled out, yielding the standard expressions of the FIT's material operators. For nonconformal interfaces, two concepts are discussed to obtain feasible implementations. Applied to an exemplary quasistatic example, the generalized formula shows superior accuracy compared with staircase approximations. |
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It originates from the exact formula for the ratio of grid fluxes and grid voltages, which requires a priori knowledge of the local fields. For axis-parallel material interfaces, this field information is canceled out, yielding the standard expressions of the FIT's material operators. For nonconformal interfaces, two concepts are discussed to obtain feasible implementations. 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Applied to an exemplary quasistatic example, the generalized formula shows superior accuracy compared with staircase approximations.</description><subject>Accuracy</subject><subject>Approximation</subject><subject>Approximation methods</subject><subject>Computational modeling</subject><subject>Convergence of Numerical Methods</subject><subject>Electric potential</subject><subject>Finite difference methods</subject><subject>Finite Integration Technique</subject><subject>Fluxes</subject><subject>Magnetism</subject><subject>Material Discretization</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Permeability</subject><subject>Strategy</subject><subject>Time-domain analysis</subject><subject>Voltage</subject><issn>0018-9464</issn><issn>1941-0069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpdkE1PAjEQhhujiYj-AONlEy9eFjv92HaPhAiSgF7Wi5emW7pSAi22y8F_bwnEg6eZyTzvfLwI3QMeAeD6uVmOZyOCgY8IEwyovEADqBmUGFf1JRpgDLKsWcWu0U1Km1wyDniAPsfGHKLubdFEq_ud9X0RuuIteBN8F-JOb4tlbkeXk7nPSaeNTYXzRb-2xdR5l7XHxlee4oIvGmvW3n0f7C266vQ22btzHKKP6UszeS0X77P5ZLwoDSVVXwIzLTekAiE4aduOYkw0bVlFQGJKCeVSGFGLllHNV5jqFckv1ZTJjnMiNR2ip9PcfQx5berVziVjt1vtbTgkBRIqLKmgOKOP_9BNOESfr1MgpCCUVcAzBSfKxJBStJ3aR7fT8UcBVke31dFtdXRbnd3OmoeTxllr_3hBSE2hor_v-3lR</recordid><startdate>201603</startdate><enddate>201603</enddate><creator>Kirsch, Stefan</creator><creator>Kuen, Lilli</creator><creator>Schuhmann, Rolf</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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subjects | Accuracy Approximation Approximation methods Computational modeling Convergence of Numerical Methods Electric potential Finite difference methods Finite Integration Technique Fluxes Magnetism Material Discretization Mathematical analysis Mathematical models Permeability Strategy Time-domain analysis Voltage |
title | Accurate Treatment of Nonconformal Material Interfaces in the Finite Integration Technique |
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