Error analysis of mixed finite element methods for wave propagation in double negative metamaterials |
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Authors: | Jichun Li |
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Affiliation: | Department of Mathematical Sciences, University of Nevada, Las Vegas, 4505 Maryland Parkway, Box 454020, Las Vegas, NV 89154-4020, USA |
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Abstract: | In this paper, we develop both semi-discrete and fully discrete mixed finite element methods for modeling wave propagation in three-dimensional double negative metamaterials. Optimal error estimates are proved for Nédélec spaces under the assumption of smooth solutions. To our best knowledge, this is the first error analysis obtained for Maxwell's equations when metamaterials are involved. |
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Keywords: | 65N30 35L15 78-08 |
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