Identyfikatory
Warianty tytułu
Konferencja
Polish Conference on Computer methods in mechanics ; (14 ; 26-28.05.1999 ; Rzeszów, Poland)
Języki publikacji
Abstrakty
We consider the nonlinear eigenvalue problem of a nonlinear partial differential equation under Dirichlet boundary condition in a two-dimensional space. The classical solutions are given for rectangular domains. We give numerical solutions obtained by finite element method for the first eigenvalue and eigenfunctions and we analyze the error in the approximate finite element solutions.
Rocznik
Tom
Strony
471--478
Opis fizyczny
Bibliogr.6 poz., tab., wykr.
Twórcy
autor
- Mathematical Institute, University of Miskolc, Miskolc-Egyetemvaros, H-3515 , Hungary
Bibliografia
- [1] G. Bognar. On the solution of some nonlinear boundary value problem. Proc. WCNA, August 19-26, 1992. Tampa, Florida, 2449-2458, 1992.
- [2] G. Bognar. Existence theorem for eigenvalues of a nonlinear eigenvalue problem. Communications on Applied Nonlinear Analysis, 4(2): 93-102, 1997.
- [3] G. Bognar. Error estimates for the finite element solution of a nonlinear elliptic problem. J. of Nonlin. Anal. (to appear)
- [4] P. G. Ciarlet. The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam-New York-Oxford, 1979.
- [5] A. Elbert. A half-linear second order differential equation, Coll. Math. Soc. Janos Bolyai, 30. Qualitative theory of differential equations, 153-179. Szeged, 1979.
- [6] I. W. S. Rayleigh. The Theory of Sound, Vol. II., 2nd ed., London, 1896.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0005-0016