An asymptotic estimate of the error of eigenvalues in the method of finite elements for the Sturm-Liouville problem

DOI10.1007/BF02678662zbMath0970.65088MaRDI QIDQ1592089

M. V. Loseva, Viktor G. Prikazchikov

Publication date: 15 January 2001

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencefinite elementSturm-Liouville eigenvalue problemasymptotic error estimate

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• The leading term of the error expansion for eigenvalues of a discrete analogue of a fourth-order elliptic operator
• The Sturm-Liouville difference problem
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