Организация, в которой проходила защита:
Ecole d'Ingénieur Sup Galilée, Paris XIII
Год защиты:2017
Аннотация:In this manuscript we study some special properties of harmonic and subharmonic functions in ${\bf R}^3$ in connections to the $C^1$-norm:
the Dirichlet problem, extensions, reflections, and so on. The main aim here is to test: how the standard numerical methods "feel" some special theoretical phenomena. Also an algorithm for $C^2$-subharmonic extension of harmonic functions from balls is presented in order to obtain a numerical "gravitation-potential" representation of these functions.