Error estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second-order hyperbolic equation
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| dc.contributor.author | Basson, Madelein
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| dc.contributor.author | Stapelberg, Belinda
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| dc.contributor.author | Janse van Rensburg, N.F.J. (Nicolaas)
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| dc.date.accessioned | 2018-01-19T07:50:45Z | |
| dc.date.issued | 2017-04 | |
| dc.description.abstract | In 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.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2018-04-04 | |
| dc.description.librarian | hj2018 | en_ZA |
| dc.description.sponsorship | The 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.uri | http://www.tandfonline.com/loi/lnfa20 | en_ZA |
| dc.identifier.citation | M. 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.issn | 0163-0563 (print) | |
| dc.identifier.issn | 1532-2467 (online) | |
| dc.identifier.other | 10.1080/01630563.2016.1254655 | |
| dc.identifier.uri | http://hdl.handle.net/2263/63641 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Taylor and Francis | en_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.subject | Damped vibration | en_ZA |
| dc.subject | Second-order hyperbolic equation | en_ZA |
| dc.subject | Error estimates | en_ZA |
| dc.subject | Finite elements | en_ZA |
| dc.subject | Galerkin approximation | en_ZA |
| dc.subject | Boundary conditions | en_ZA |
| dc.subject | Beam | en_ZA |
| dc.subject | Wave equation | en_ZA |
| dc.title | Error estimates for semi-discrete and fully discrete Galerkin finite element approximations of the general linear second-order hyperbolic equation | en_ZA |
| dc.type | Postprint Article | en_ZA |
