Approximation of the eigenvalue problem for elliptic operator by finite element method with numerical integration

• Autorzy: E. Lewińska
• Języki publikacji: EN

Abstrakty

EN

The author considers the effect of numerical integration in the case of solving a two-dimensional eigenvalue problem for the second-order elliptic differential operator via the finite element method. It is proved that the optimal estimates for eigenfunctions (namely, the estimates of the same order as the optimal estimates for the classical finite element approximation without numerical integration) are valid under the assumption that the precision of the numerical quadrature is the same as that for the corresponding boundary value problem.

PL

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Słowa kluczowe

EN

Eigenvalue problems

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1994
• Tom: 23
• Numer: 37

Daty

wydano

1994

online

2016-10-28

Twórcy

autor

E. Lewińska

Identyfikatory

DOI

10.14708/ma.v23i37.1824