H^(-1) Galerkin-collocation method with quadratures for two point boundary value problems

• Autorzy: Zbigniew Leyk
• Języki publikacji: EN

Abstrakty

EN

In the paper, the H^(-1)Galerkin-collocation method with quadratures (instead of integrals) for two point boundary value problems is considered. Approximate solution is a piecewise polynomial of degree r. It is proved that the method is stable and the error in L2-norm is of order O(h^(r+1)) if the used quadrature is exact for polynomial of degree not greater than r+1.

PL

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Słowa kluczowe

EN

Finite elements, Rayleigh-Ritz, Galerkin and collocation; Boundary value problems

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1989
• Tom: 17
• Numer: 31

Daty

wydano

1989

online

1989-11-02

Twórcy

autor

Zbigniew Leyk

Identyfikatory

DOI

10.14708/ma.v17i31.1769