https://ifp.hal.science/hal-01989472Cao, Zhi-WeiZhi-WeiCaoChina Nuclear Power Technology Research InstituteUSTC - University of Science and Technology of China [Hefei]Liu, Zhi-FengZhi-FengLiuUSTC - University of Science and Technology of China [Hefei]Wang, Yi-ZhouYi-ZhouWangUSTC - University of Science and Technology of China [Hefei]Wang, Xiao-HongXiao-HongWangUSTC - University of Science and Technology of China [Hefei]Noetinger, BenoitBenoitNoetingerIFPEN - IFP Energies nouvelles - IFPEN - IFP Energies nouvellesPower series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivitiesHAL CCSD2018Quasi-Laplace equationSeries analytical solutionPower-law behavior[MATH] Mathematics [math]Belli, Catherine2019-01-22 14:24:152019-02-07 17:14:022019-01-22 14:49:47enJournal articles10.1016/j.cnsns.2018.02.0321In 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.