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A Modified Integral Equation Method for the Electric Boundary-Value Problem for the Vector Helmholtz Equation

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Numerical Treatment of Integral Equations / Numerische Behandlung von Integralgleichungen

Abstract

Analogously to the method proposed by Brakhage, Werner, Leis and Panich for the scalar Helmholtz equation, the electric boundary-value problem for the vector Helmholtz equation is reduced to an integral equation which is uniquely solvable for all frequencies. In addition the numerical discretization of this integral equation is discussed.

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References

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© 1980 Springer Basel AG

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Knauff, W., Kress, R. (1980). A Modified Integral Equation Method for the Electric Boundary-Value Problem for the Vector Helmholtz Equation. In: Albrecht, J., Collatz, L. (eds) Numerical Treatment of Integral Equations / Numerische Behandlung von Integralgleichungen. International Series of Numerical Mathematics / International Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 53. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6314-8_11

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  • DOI: https://doi.org/10.1007/978-3-0348-6314-8_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1105-6

  • Online ISBN: 978-3-0348-6314-8

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