Approximation of Positive Solutions to Symmetric Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter

被引：0
|
作者：
Solov'ev, P. S. [1 ]
机构：
[1] Kazan Fed Univ, Kazan 420008, Russia
来源：
RUSSIAN MATHEMATICS | 2024年 / 68卷 / 08期
关键词：
eigenvalue; positive eigenfunction; eigenvalue problem; finite element method; FINITE-ELEMENT APPROXIMATION; MINIMAL EIGENVALUE;
D O I：
10.3103/S1066369X24700725
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A symmetric partial differential eigenvalue problem with nonlinear dependence on the spectral parameter arising in plasma physics is studied. New conditions for the existence of a positive eigenvalue and the corresponding positive eigenfunctions are proposed and justified. A finite element approximation for the problem preserving the property of positivity of solutions is constructed. The existence and convergence of approximate solutions are established.
引用
收藏
页码：81 / 86
页数：6
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