Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities - IFPEN - IFP Energies nouvelles Accéder directement au contenu
Article Dans Une Revue Communications in Nonlinear Science and Numerical Simulation Année : 2018

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

Résumé

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.
Fichier non déposé

Dates et versions

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

Identifiants

Citer

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
29 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More