Abstract
We construct finite difference solutions of a transmission problem with a discontinuous coefficient and the Dirac distribution by the direct method which we call the successive elimination of lines and then show that the limit function of them satisfies the transmission equation in the sense of distribution.
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Koshigoe, H. (2003). Direct Method for Solving a Transmission Problem with a Discontinuous Coefficient and the Dirac Distribution. In: Sloot, P.M.A., Abramson, D., Bogdanov, A.V., Gorbachev, Y.E., Dongarra, J.J., Zomaya, A.Y. (eds) Computational Science — ICCS 2003. ICCS 2003. Lecture Notes in Computer Science, vol 2659. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44863-2_39
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DOI: https://doi.org/10.1007/3-540-44863-2_39
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