An [H.sup.1]-Galerkin Mixed Finite Element Approximation of a Nonlocal Hyperbolic Equation

In this paper we investigate a semi-discrete [H.sup.1]-Galerkin mixed finite element approximation of one kind of nolocal second order nonlinear hyperbolic equation, which is often used to describe vibration of an elastic string. A priori error estimates for the semi-discrete scheme are derived. A f...

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Veröffentlicht in:Mathematical modelling and analysis 2017-09, Vol.22 (5), p.643
Hauptverfasser: Chen, Fengxin, Zhou, Zhaojie
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Sprache:eng
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Zusammenfassung:In this paper we investigate a semi-discrete [H.sup.1]-Galerkin mixed finite element approximation of one kind of nolocal second order nonlinear hyperbolic equation, which is often used to describe vibration of an elastic string. A priori error estimates for the semi-discrete scheme are derived. A fully discrete scheme is constructed and one numerical example is given to verify the theoretical findings.Keywords: nonlocal hyperbolic equation, [H.sup.1]-Galerkin mixed finite element method, a priori error estimate.AMS Subject Classification: 65N30.
ISSN:1392-6292
DOI:10.3846/13926292.2017.1346524