Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2010, Issue 17, Pages 59–72 (Mi vtpmk297)  
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.
Received: 01.06.2010
Revised: 03.06.2010
Bibliographic databases:
Document Type: Article
UDC: 517.956.225:519.632.4
Language: Russian
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