Approximation of operator eigenvalue problems in a Hilbert space

11th International Conference on "Mesh methods for boundary-value problems and applications"

Solovyev, S.I.^1

Department of Computational Mathematics, Institute of Computational Mathematics and Information Technologies, Kazan (Volga Region) Federal University, 35 Kremlevskaya Street, Kazan

420008, Russia^1

关键词: Eigenelements;    Eigenvalue problem;    Eigenvalues;    Error estimates;    Infinite dimensional;    Numerical integrations;    Symmetric positive definite;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012087/pdf
DOI  :  10.1088/1757-899X/158/1/012087

来源: IOP

【 摘 要 】

The eigenvalue problem for a compact symmetric positive definite operator in an infinite-dimensional Hilbert space is approximated by an operator eigenvalue problem in finitedimensional subspace. Error estimates for the approximate eigenvalues and eigenelements are established. These results can be applied for investigating the finite element method with numerical integration for differential eigenvalue problems.