%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 comité 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