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Efficient calculation of coupling matrices for a decoupled FE/BIE formulation

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Abstract
This paper presents an efficient method for calculating coupling matrices that occur in a decoupled hybrid finite element / boundary integral equation (FE/BIE) system. These coupling matrices represent projections from basis functions of one domain to basis functions of an other domain. Based on a technique for evaluating singular integrals over polyhedral domains, it becomes possible to calculate the projection integrals analytically, instead of relying on quadrature integration rules. It is shown that this reduces the CPU-time, whereas the accuracy remains correct up to machine precision.

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Citation

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MLA
Boeykens, Freek et al. “Efficient Calculation of Coupling Matrices for a Decoupled FE/BIE Formulation.” 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA). New York, NY, USA: IEEE, 2012. 506–509. Print.
APA
Boeykens, F., Rogier, H., Van Hese, J., Sercu, J., & Boonen, T. (2012). Efficient calculation of coupling matrices for a decoupled FE/BIE formulation. 2012 International conference on electromagnetics in advanced applications (ICEAA) (pp. 506–509). Presented at the International conference on Electromagnetics in Advanced Applications (ICEAA) ; IEEE-APS Topical conference on Antennas and Propagation in Wireless Communications (IEEE APWC) ; URSI Electromagnetic Environment and Interference Symposium (EEIS), New York, NY, USA: IEEE.
Chicago author-date
Boeykens, Freek, Hendrik Rogier, Jan Van Hese, Jeannick Sercu, and Tim Boonen. 2012. “Efficient Calculation of Coupling Matrices for a Decoupled FE/BIE Formulation.” In 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA), 506–509. New York, NY, USA: IEEE.
Chicago author-date (all authors)
Boeykens, Freek, Hendrik Rogier, Jan Van Hese, Jeannick Sercu, and Tim Boonen. 2012. “Efficient Calculation of Coupling Matrices for a Decoupled FE/BIE Formulation.” In 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA), 506–509. New York, NY, USA: IEEE.
Vancouver
1.
Boeykens F, Rogier H, Van Hese J, Sercu J, Boonen T. Efficient calculation of coupling matrices for a decoupled FE/BIE formulation. 2012 International conference on electromagnetics in advanced applications (ICEAA). New York, NY, USA: IEEE; 2012. p. 506–9.
IEEE
[1]
F. Boeykens, H. Rogier, J. Van Hese, J. Sercu, and T. Boonen, “Efficient calculation of coupling matrices for a decoupled FE/BIE formulation,” in 2012 International conference on electromagnetics in advanced applications (ICEAA), Cape Town, South Africa, 2012, pp. 506–509.
@inproceedings{3118201,
  abstract     = {{This paper presents an efficient method for calculating coupling matrices that occur in a decoupled hybrid finite element / boundary integral equation (FE/BIE) system. These coupling matrices represent projections from basis functions of one domain to basis functions of an other domain. Based on a technique for evaluating singular integrals over polyhedral domains, it becomes possible to calculate the projection integrals analytically, instead of relying on quadrature integration rules. It is shown that this reduces the CPU-time, whereas the accuracy remains correct up to machine precision.}},
  author       = {{Boeykens, Freek and Rogier, Hendrik and Van Hese, Jan and Sercu, Jeannick and Boonen, Tim}},
  booktitle    = {{2012 International conference on electromagnetics in advanced applications (ICEAA)}},
  isbn         = {{9781467303354}},
  language     = {{eng}},
  location     = {{Cape Town, South Africa}},
  pages        = {{506--509}},
  publisher    = {{IEEE}},
  title        = {{Efficient calculation of coupling matrices for a decoupled FE/BIE formulation}},
  year         = {{2012}},
}

Web of Science
Times cited: