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Finite element approximation with numerical integration for differential eigenvalue problems. (English) Zbl 1326.65099

Summary: Error estimates of the finite element method with numerical integration for differential eigenvalue problems are presented. More specifically, refined results on the eigenvalue dependence for the eigenvalue and eigenfunction errors are proved. The theoretical results are illustrated by numerical experiments for a model problem.

MSC:

65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65L15 Numerical solution of eigenvalue problems involving ordinary differential equations
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