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A numerical method for transmission problems for the Helmholtz equation

Eine numerische Methode für Transmissionsprobleme bei der Helmholtzgleichung

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Abstract

This method consists in decoupling the transmission problem into two boundary value problems, which can be solved separately by well known procedures. A convergence proof is given with the help of the integral equation method and convergence results on projection methods.

Zusammenfassung

Das Verfahren besteht in der Entkopplung in zwei Randwertprobleme, welche mit bekannten Verfahren gelöst werden können. Der Konvergenzbeweis wird mit Hilfe der Integralgleichungsmethode und Konvergenzaussagen über Projektionsverfahren geführt.

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References

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  1. Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Lotzestrasse 16-18, D-3400, Göttingen, Federal Republic of Germany

    A. Zinn

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  1. A. Zinn
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Zinn, A. A numerical method for transmission problems for the Helmholtz equation. Computing 41, 267–274 (1989). https://doi.org/10.1007/BF02259097

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  • DOI: https://doi.org/10.1007/BF02259097

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