%0 Journal Article
%T Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities
%+ China Nuclear Power Technology Research Institute
%+ University of Science and Technology of China [Hefei] (USTC)
%+ IFP Energies nouvelles (IFPEN)
%A Cao, Zhi-Wei
%A Liu, Zhi-Feng
%A Wang, Yi-Zhou
%A Wang, Xiao-Hong
%A Noetinger, Benoit
%Z This work is supported by the National Natural Science Foundation of China (No. 11572315), CNPC-CAS Science and Technology Cooperation Project (Grant No.2015A-4812) and the National Science and Technology Major Projects of China (No. 2016ZX05072-005).
%< avec comitÃ© de lecture
%@ 1007-5704
%J Communications in Nonlinear Science and Numerical Simulation
%I Elsevier
%V 62
%P 264-281
%8 2018-09
%D 2018
%R 10.1016/j.cnsns.2018.02.032
%K Quasi-Laplace equation
%K Series analytical solution
%K Power-law behavior
%Z Mathematics [math]Journal articles
%X 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.
%G English
%L hal-01989472
%U https://ifp.hal.science/hal-01989472
%~ IFP
%~ INSMI