HAL CCSD
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
China Nuclear Power Technology Research Institute
University of Science and Technology of China [Hefei] (USTC)
IFP Energies nouvelles (IFPEN) ; IFP Energies nouvelles (IFPEN)
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).
International audience
ISSN: 1007-5704
Communications in Nonlinear Science and Numerical Simulation
Elsevier
hal-01989472
https://ifp.hal.science/hal-01989472
https://ifp.hal.science/hal-01989472
Communications in Nonlinear Science and Numerical Simulation, 2018, 62, pp.264-281. ⟨10.1016/j.cnsns.2018.02.032⟩
DOI: 10.1016/j.cnsns.2018.02.032
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2018.02.032
en
Quasi-Laplace equation
Series analytical solution
Power-law behavior
[MATH]Mathematics [math]
info:eu-repo/semantics/article
Journal articles
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