Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Eigenvalue problems

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

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

100%

Lewińska E.

Mathematica Applicanda

1994

tom 23

nr 37

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.

Approximation of eigenvalues for a class of differential problems on an infinite interval

51%

Regińska T.

Mathematica Applicanda

1978

tom 6

nr 13

The author investigates the problem (1) Lu=λu, u(0)=0, u∈L2(0,∞), where L=d2/dt2+a(t)d/dt+b(t) and domL={u∈L2(0,∞):du/dt absolutely continuous, d2u/dt2∈L2(0,∞), u(0)=0}. She proves that under certain conditions it is possible to approximate the spectrum of (1) by means of the spectrum of a suitable problem of the form −u′′+c(t)u=λu, u(0)=0, u′(n)=α(n)u(n).

Ograniczanie wyników

2 Mathematica Applicanda

1 Lewińska E.

1 Regińska T.

1 1994

1 1978

Wyniki wyszukiwania

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

Approximation of eigenvalues for a class of differential problems on an infinite interval