I. Sh. Mogilevskii, K. O. Eyallo, “Solution of the Neumann problem by Galerkin method”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2010, Issue 17,Pages <nobr>59

Numerical Calculations Models for Physical-Mechanical Systems

Solution of the Neumann problem by Galerkin method

I. Sh. Mogilevskii, K. O. Eyallo

Tver State University, Tver

Abstract: The existence to the weak solution of the Neumann problem to the Laplace equation is proved in a space of functions ortogonal to unity. The Galerkin method to this problem is based. The results of a numeric realization of the Galerkin method for the curvilinear trapezoid are discussed.

Keywords: Neumann problem, Laplace equation, Galerkin method.

UDC: 517.956.225:519.632.4

Received: 01.06.2010
Revised: 03.06.2010