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A boundary integral formulation of antenna problems suitable for nodal-based wavelet approximations

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Numerical Mathematics and Advanced Applications
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Summary

The electric field integral equation on an open surface is transformed into a strongly elliptic system using Hodge decomposition on the surface. The resulting system of pseudodifferential equations is discretized by finite elements using nodal-based wavelet bases. The necessary function spaces are described and results about matrix compression, stability, and convergence are presented.

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References

  1. Bendali, A. (1984): Numerical analysis of the exterior boundary value problem for time-harmonic Maxwell equations by a boundary finite element method. II. The discrete problem. Math. Comp. 43, 47–68

    MathSciNet  MATH  Google Scholar 

  2. Buffa, A., Costabel, M., Schwab, C. (2002): Boundary element methods for Maxwell’s equations on non-smooth domains. Numer. Math. 92, 679–710

    Article  MathSciNet  MATH  Google Scholar 

  3. Buffa, A., Hiptmair, R., von Petersdorff, T., Schwab, C. (2001): Boundary element methods for Maxwell equations in Lipschitz domains. Numer. Math., to appear

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  4. Costabel, M., Safa, C. (2003): Wavelet approximation of an antenna problem, in preparation

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  5. Dahmen, W., Stevenson, R. (1999): Element-by-element construction of wavelets satisfying stability and moment conditions. SIAM J. Numer. Anal. 37, 319–352

    Article  MathSciNet  MATH  Google Scholar 

  6. Loison, R. (2000): Utilisation de l’analyse multirésolution dans la méthode des moments. Application à la modélisation de réseaux d’antennes imprimées. Ph.D. thesis. Institut National des Sciences Appliquées, Rennes

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  7. Safa, C. (2001): Résolution rapide d’équations intégrales pour un problème d’antennes par des méthodes d’ondelettes. Ph.D. thesis. Université de Rennes I, Rennes

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© 2003 Springer-Verlag Italia

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Costabel, M., Safa, C. (2003). A boundary integral formulation of antenna problems suitable for nodal-based wavelet approximations. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_24

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  • DOI: https://doi.org/10.1007/978-88-470-2089-4_24

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-2167-9

  • Online ISBN: 978-88-470-2089-4

  • eBook Packages: Springer Book Archive

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