Error estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second-order hyperbolic equation

dc.contributor.authorBasson, Madelein
dc.contributor.authorStapelberg, Belinda
dc.contributor.authorJanse van Rensburg, N.F. (Nicolaas)
dc.contributor.emailbelinda.stapelberg@up.ac.zaen_ZA
dc.date.accessioned2018-01-19T07:50:45Z
dc.date.issued2017-04
dc.description.abstractIn this article, we derive error estimates for the semi-discrete and fully discrete Galerkin approximations of a general linear second-order hyperbolic partial differential equation with general damping (which includes boundary damping). The results can be applied to a variety of cases (e.g. vibrating systems of linked elastic bodies). The results generalize pioneering work of Dupont and complement a recent article by Basson and Van Rensburg.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2018-04-04
dc.description.librarianhj2018en_ZA
dc.description.sponsorshipThe National Research Foundation of South Africa (NRF). The research of the second author was supported by NRF grant 95178. The research of the third author was supported in part by NRF grant IFR2011041700007.en_ZA
dc.description.urihttp://www.tandfonline.com/loi/lnfa20en_ZA
dc.identifier.citationM. Basson, B. Stapelberg & N. F. J. van Rensburg (2017) Error Estimates for Semi-Discrete and Fully Discrete Galerkin Finite Element Approximations of the General Linear Second-Order Hyperbolic Equation, Numerical Functional Analysis and Optimization, 38:4, 466-485, DOI: 10.1080/01630563.2016.1254655.en_ZA
dc.identifier.issn0163-0563 (print)
dc.identifier.issn1532-2467 (online)
dc.identifier.other10.1080/01630563.2016.1254655
dc.identifier.urihttp://hdl.handle.net/2263/63641
dc.language.isoenen_ZA
dc.publisherTaylor and Francisen_ZA
dc.rights© 2017 Taylor & Francis. This is an electronic version of an article published in Numerical Functional Analysis and Optimization, vol. 38, no. 4, pp.466-485, 2017. doi : 10.1080/01630563.2016.1254655. Numerical Functional Analysis and Optimization is available online at : http://www.tandfonline.comloi/lnfa20.en_ZA
dc.subjectDamped vibrationen_ZA
dc.subjectSecond-order hyperbolic equationen_ZA
dc.subjectError estimatesen_ZA
dc.subjectFinite elementsen_ZA
dc.subjectGalerkin approximationen_ZA
dc.subjectBoundary conditionsen_ZA
dc.subjectBeamen_ZA
dc.subjectWave equationen_ZA
dc.titleError estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second-order hyperbolic equationen_ZA
dc.typePostprint Articleen_ZA

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