Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities - IFPEN - IFP Energies nouvelles Access content directly
Journal Articles Communications in Nonlinear Science and Numerical Simulation Year : 2018

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

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.
Not file

Dates and versions

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

Identifiers

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⟩

Collections

IFP INSMI
27 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More