Finite-difference Green's function diakoptics : unlimited stable lookback schemes for non-trivial problems

B.P. Hon, de; J.M. Arnold

doi:10.1109/ICEAA.2012.6328767

Finite-difference Green's function diakoptics : unlimited stable lookback schemes for non-trivial problems

B.P. Hon, de, J.M. Arnold

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

4 Citations (Scopus)

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Abstract

Earlier, we have analysed a finite-difference time-domain (FDTD) toy problem for a configuration with two disjoint domains, each consisting of a single point, using a Green’s function diakoptics unlimited lookback scheme, based on the inverse of the stability function. We have developed an analogous scheme for non-trivial prob- lems involving at least one interior point in one of the domains that occurs in the stability function, but does not enter directly into the boundary operator of the lookback scheme. This scheme preserves the stability. If self-consistency regarding the use of the proper discrete Green’s functions is maintained, the boundary operator remains restricted to the boundary. Otherwise the boundary operator fills up to become a domain operator, but may still be usable.

Original language	English
Title of host publication	Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA '12), September 2-7, 2012, Cape Town, South Africa
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	926-929
ISBN (Print)	978-1-4673-0333-0
DOIs	https://doi.org/10.1109/ICEAA.2012.6328767
Publication status	Published - 2012

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Hon, de, B. P., & Arnold, J. M. (2012). Finite-difference Green's function diakoptics : unlimited stable lookback schemes for non-trivial problems. In Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA '12), September 2-7, 2012, Cape Town, South Africa (pp. 926-929). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICEAA.2012.6328767

Hon, de, B.P. ; Arnold, J.M. / Finite-difference Green's function diakoptics : unlimited stable lookback schemes for non-trivial problems. Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA '12), September 2-7, 2012, Cape Town, South Africa. Piscataway : Institute of Electrical and Electronics Engineers, 2012. pp. 926-929

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Hon, de, BP & Arnold, JM 2012, Finite-difference Green's function diakoptics : unlimited stable lookback schemes for non-trivial problems. in Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA '12), September 2-7, 2012, Cape Town, South Africa. Institute of Electrical and Electronics Engineers, Piscataway, pp. 926-929. https://doi.org/10.1109/ICEAA.2012.6328767

Finite-difference Green's function diakoptics : unlimited stable lookback schemes for non-trivial problems. / Hon, de, B.P.; Arnold, J.M.
Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA '12), September 2-7, 2012, Cape Town, South Africa. Piscataway: Institute of Electrical and Electronics Engineers, 2012. p. 926-929.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Hon, de BP, Arnold JM. Finite-difference Green's function diakoptics : unlimited stable lookback schemes for non-trivial problems. In Proceedings of the 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA '12), September 2-7, 2012, Cape Town, South Africa. Piscataway: Institute of Electrical and Electronics Engineers. 2012. p. 926-929 doi: 10.1109/ICEAA.2012.6328767

Finite-difference Green's function diakoptics : unlimited stable lookback schemes for non-trivial problems

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