Article: On analytical relation between axisymmetric and two-dimension Laplace’s fields

Yu. K. Golikov, N. K. Krasnova, K. V. Solovjev, D. V. Grigorjev
St.-Petersburg State Polytechnic University, St.-Petersburg, Russia

New analytical relations between axisymmetric and planar (two-dimension) Laplace’s potentials are described. Effective and compact algorithms of Cauchy problem solving for potentials with axial symmetry in areas containing symmetry axis are built on their base. Approximation errors are estimated.