Galerkin finite element approximation of general linear second order hyperbolic equations
| dc.contributor.author | Basson, Madelein | |
| dc.contributor.author | Van Rensburg, N.F.J. | |
| dc.contributor.email | madelein.basson@up.ac.za | en_US |
| dc.date.accessioned | 2014-11-03T08:00:49Z | |
| dc.date.available | 2014-11-03T08:00:49Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | In this article, we derive error estimates for the Galerkin approximation of a general linear second order hyperbolic equation. The results can be applied to a variety of cases, for example, vibrating systems of linked elastic bodies. The results generalize the work of Baker [1] and also allow for viscous type damping. Splitting the proofs for the semi-discrete and fully discrete cases not only simplifies the proofs but less restrictive regularity assumptions are required. | en_US |
| dc.description.librarian | hb2014 | en_US |
| dc.description.sponsorship | This research was supported in part by NRF (South Africa) grant IFR2011041700007. | en_US |
| dc.description.uri | http://www.tandfonline.com/loi/lnfa20 | en_US |
| dc.identifier.citation | Basson, M & Van Rensburg, NFJ 2013, 'Galerkin finite element approximation of general linear second order hyperbolic equations', Numerical Functional Analysis and Optimization, vol. 34, no. 9, pp. 976-1000. | en_US |
| dc.identifier.issn | 0163-0563 (print) | |
| dc.identifier.issn | 1532-2467 (online) | |
| dc.identifier.other | 10.1080/01630563.2013.807286 | |
| dc.identifier.uri | http://hdl.handle.net/2263/42454 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis | en_US |
| dc.rights | © Taylor & Francis Group, LLC. This is an electronic version of an article published in Numerical Functional Analysis and Optimization, vol. 34, no. 9, pp. 976-1000, 2013. doi : 10.1080/01630563.2013.807286. Numerical Functional Analysis and Optimization is available online at : http://www.tandfonline.com/loi/lnfa20. | en_US |
| dc.subject | Damped vibration | en_US |
| dc.subject | Error estimates | en_US |
| dc.subject | Finite elements | en_US |
| dc.subject | Galerkin approximation | en_US |
| dc.subject | Second order hyperbolic equation | en_US |
| dc.title | Galerkin finite element approximation of general linear second order hyperbolic equations | en_US |
| dc.type | Postprint Article | en_US |