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Journal Articles Communications in Nonlinear Science and Numerical Simulation Year : 2018

Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities

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Abstract

In this paper, the analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities is provided. The analytical solution can be expressed as an infinite power series with a group of intrinsic non-integer power exponents around each singular point. Combined with the given boundary conditions, the coefficient of each term can be determined by numerical methods.
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Dates and versions

hal-01989472 , version 1 (22-01-2019)

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Cite

Zhi-Wei Cao, Zhi-Feng Liu, Yi-Zhou Wang, Xiao-Hong Wang, Benoit Noetinger. Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities. Communications in Nonlinear Science and Numerical Simulation, 2018, 62, pp.264-281. ⟨10.1016/j.cnsns.2018.02.032⟩. ⟨hal-01989472⟩

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