Convergence Analysis of Yee Schemes for Maxwell's Equations in Debye and Lorentz Dispersive Media Public Deposited

http://ir.library.oregonstate.edu/concern/technical_reports/zg64tm36b

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  • We present discrete energy decay results for the Yee scheme applied to Maxwell's equations in Debye and Lorentz dispersive media. These estimates provide stability conditions for the Yee scheme in the corresponding media. In particular, we show that the stability conditions are the same as those for the Yee scheme in a nondispersive dielectric. However, energy decay for the Maxwell-Debye and Maxwell-Lorentz models indicate that the Yee schemes are dissipative. The energy decay results are then used to prove the convergence of the Yee schemes for the dispersive models. We also show that the Yee schemes preserve the Gauss divergence laws on its discrete mesh. Numerical simulations are provided to justify the theoretical results.
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  • description.provenance : Approved for entry into archive by Vrushali Bokil(bokilv@math.oregonstate.edu) on 2013-05-06T23:22:14Z (GMT) No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: bb87e2fb4674c76d0d2e9ed07fbb9c86 (MD5) ConvAnalYeeDisp_TR.pdf: 474213 bytes, checksum: 2942e58ea66c5131c2b5c4617a1fbf9c (MD5)
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  • description.provenance : Submitted by Vrushali Bokil (bokilv@math.oregonstate.edu) on 2013-05-06T23:15:16Z No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: bb87e2fb4674c76d0d2e9ed07fbb9c86 (MD5) ConvAnalYeeDisp_TR.pdf: 474213 bytes, checksum: 2942e58ea66c5131c2b5c4617a1fbf9c (MD5)

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