dc.contributor.author |
Basson, Madelein
|
|
dc.contributor.author |
Van Rensburg, N.F.J.
|
|
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 |