The Effect of Quadrature Errors on Finite Element Approximations for Second Order Hyperbolic Equations

The Effect of Quadrature Errors on Finite Element Approximations for Second Order Hyperbolic Equations

The effects of numerical quadrature errors on finite element approximations to the solution of the mixed initial-boundary value problem for second order linear hyperbolic equations are studied. It is shown that the optimal L2- and H1-estimates may be recovered for certain classes of quadrature schem...

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Veröffentlicht in:SIAM journal on numerical analysis 1976-09, Vol.13 (4), p.577-598
Hauptverfasser: Baker, Garth A., Dougalis, Vassilios A.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Banach spaces
Boundary value problems
Error rates
Estimation methods
Finite element method
Inner products
Integers
Mathematical theorems
Numerical integration
Numerical quadratures
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Zusammenfassung:The effects of numerical quadrature errors on finite element approximations to the solution of the mixed initial-boundary value problem for second order linear hyperbolic equations are studied. It is shown that the optimal L2- and H1-estimates may be recovered for certain classes of quadrature schemes.
ISSN:0036-1429
1095-7170
DOI:10.1137/0713049