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On Several Green’s Function Methods for Fast Poisson Solver in Free Space

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Book cover Scientific Computing in Electrical Engineering

Part of the book series: Mathematics in Industry ((TECMI,volume 23))

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Abstract

We summarize four closely related numerical solution methods for Poisson’s equation in free space: Green’s function method, integrated Green’s function method, reduced integrated Green’s function method, and cutting integrated Green’s function method. A new and final routine called cutting reduced Green’s function method is carried out as well. These methods can be used for different practical problems to accelerate the calculation. Numerical examples are also given to compare the introduced methods.

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Author information

Authors and Affiliations

  1. Institute of General Electrical Engineering, University of Rostock, Albert-Einstein-Str. 2, 18059, Rostock, Germany

    Dawei Zheng & Ursula van Rienen

Authors
  1. Dawei Zheng
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  2. Ursula van Rienen
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Corresponding author

Correspondence to Dawei Zheng .

Editor information

Editors and Affiliations

  1. Applied Math. & Numerical Analysis, Bergische Universität Wuppertal, Wuppertal, Nordrhein-Westfalen, Germany

    Andreas Bartel

  2. Chair of Electromagnetic Theory, Bergische Universität Wuppertal, Wuppertal, Nordrhein-Westfalen, Germany

    Markus Clemens

  3. Applied Math. & Numerical Analysis, Bergische Universität Wuppertal, Wuppertal, Nordrhein-Westfalen, Germany

    Michael Günther

  4. Applied Math. & Numerical Analysis, Bergische Universität Wuppertal, Wuppertal, Germany

    E. Jan W. ter Maten

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© 2016 Springer International Publishing Switzerland

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Zheng, D., van Rienen, U. (2016). On Several Green’s Function Methods for Fast Poisson Solver in Free Space. In: Bartel, A., Clemens, M., Günther, M., ter Maten, E. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry(), vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-30399-4_10

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