Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain
In this paper we present a method for the numerical approximation of the smallest eigenvalue of a nonlinear eigenvalue problem using the finite element method. Numerical results are presented for some special domains when the domain is bounded by a square, a ''circle'', a '&...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2000-01-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=29 |
| id |
doaj-b94fe81c41bb4a6bb03fdf6f9b1f94de |
|---|---|
| record_format |
Article |
| spelling |
doaj-b94fe81c41bb4a6bb03fdf6f9b1f94de2021-07-14T07:21:17ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752000-01-011999111210.14232/ejqtde.1999.5.129Finite element approximation of the first eigenvalue of a nonlinear problem for some special domainGabriella Bognár0University of Miskolc, Miskolc-Egyetemváros, HungaryIn this paper we present a method for the numerical approximation of the smallest eigenvalue of a nonlinear eigenvalue problem using the finite element method. Numerical results are presented for some special domains when the domain is bounded by a square, a ''circle'', a ''semicircle'', or a quadrant of a ''circle''. We compare the exact solutions with the approximate solutions when the exact solutions are known. We show a connection among the first eigenvalues related to different domains.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=29 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gabriella Bognár |
| spellingShingle |
Gabriella Bognár Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Gabriella Bognár |
| author_sort |
Gabriella Bognár |
| title |
Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain |
| title_short |
Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain |
| title_full |
Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain |
| title_fullStr |
Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain |
| title_full_unstemmed |
Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain |
| title_sort |
finite element approximation of the first eigenvalue of a nonlinear problem for some special domain |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2000-01-01 |
| description |
In this paper we present a method for the numerical approximation of the smallest eigenvalue of a nonlinear eigenvalue problem using the finite element method. Numerical results are presented for some special domains when the domain is bounded by a square, a ''circle'', a ''semicircle'', or a quadrant of a ''circle''. We compare the exact solutions with the approximate solutions when the exact solutions are known. We show a connection among the first eigenvalues related to different domains. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=29 |
| work_keys_str_mv |
AT gabriellabognar finiteelementapproximationofthefirsteigenvalueofanonlinearproblemforsomespecialdomain |
| _version_ |
1721303967270436864 |