Spline-interpolation solution of 3D Dirichlet problem for one class of solids

Autor:	Ivanshin, Pyotr, Shirokova, Elena
Rok vydání:	2011
Předmět:	Mathematical Physics Mathematics - Complex Variables 97I80 35J25
Druh dokumentu:	Working Paper
Popis:	We present the spline-interpolation approximate solution of the Dirichlet problem for the Laplace equation in the bodies of revolution, cones and cylinders. Our method is based on reduction of the 3D problem to the sequence of 2D Dirichlet problems. The main advantage of the spline-interpolation solution of the 3D Dirichlet problem is its continuity in the whole domain up to the boundary even for the case of the linear spline.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1103.3830 Zobrazit plný text záznamu View this record from Arxiv