hal-01989472
https://ifp.hal.science/hal-01989472
doi:10.1016/j.cnsns.2018.02.032
[IFP] IFP Energies Nouvelles
[INSMI] CNRS-INSMI - INstitut des Sciences MathÃ©matiques et de leurs Interactions
Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities
Cao, Zhi-Wei
Liu, Zhi-Feng
Wang, Yi-Zhou
Wang, Xiao-Hong
Noetinger, Benoit
[MATH] Mathematics [math]
ART
Quasi-Laplace equation
Series analytical solution
Power-law behavior
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.
2018-09
en
Communications in Nonlinear Science and Numerical Simulation
Elsevier