On the Kelvin Transformation in Finite Difference Implementations

Gold G (2020)


Publication Language: English

Publication Type: Journal article, Review article

Publication year: 2020

Journal

Article Number: 442

Journal Issue: 9

DOI: 10.3390/electronics9030442

Open Access Link: https://doi.org/10.3390/electronics9030442

Abstract

Finite difference operators were applied on a Delaunay mesh. This way it is possible to discretize a radial boundary that is used to perform a Kelvin mapping of an additional outer domain to virtually extend the computation domain to infinity. With an example two-wire problem, the performance of this approach is shown in comparison with a conventional calculation domain and with the analytical solution, respectively. The presented implementation delivers a more precise approximation to the real values and at the same time requires a smaller system of equations—i.e., allows for faster computations.

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How to cite

APA:

Gold, G. (2020). On the Kelvin Transformation in Finite Difference Implementations. Electronics, 9. https://dx.doi.org/10.3390/electronics9030442

MLA:

Gold, Gerald. "On the Kelvin Transformation in Finite Difference Implementations." Electronics 9 (2020).

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