| dc.contributor.author |
Nilssen, Trygve K. |
| dc.contributor.author |
Tai, Xue Cheng. |
| dc.contributor.author |
Winther, Ragnar. |
| dc.date.accessioned |
2009-08-12T03:16:58Z |
| dc.date.available |
2009-08-12T03:16:58Z |
| dc.date.copyright |
2000 |
| dc.date.issued |
2009-08-12T03:16:58Z |
| dc.identifier.citation |
Nilssen, T. K., Tan, X. C., & Winther R.(2000). A robust nonconforming H-2-element. Mathematics of Computation, 70(234), 489-505. |
| dc.identifier.issn |
0025-5718 |
| dc.identifier.uri |
http://hdl.handle.net/10220/6056 |
| dc.description.abstract |
Finite element methods for some elliptic fourth order singular perturbation problems are discussed. We show that if such problems are discretized by the nonconforming Morley method, in a regime close to second order elliptic equations, then the error deteriorates. In fact, a counterexample is given to show that the Morley method diverges for the reduced second order equation. As an alternative to the Morley element we propose to use a nonconforming H-2-element which is H-1-conforming. We show that the new finite element method converges in the energy norm uniformly in the perturbation parameter. |
| dc.format.extent |
17 p. |
| dc.language.iso |
en |
| dc.relation.ispartofseries |
Mathematics of Computation. |
| dc.rights |
Mathematics of Computation © copyright 2000 American Mathematical Society. The journal's website is located at http://www.ams.org/mcom/. |
| dc.subject |
DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis. |
| dc.title |
A robust nonconforming H-2-element. |
| dc.type |
Journal Article |
| dc.contributor.school |
School of Physical and Mathematical Sciences |
| dc.identifier.openurl |
http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ELSEVIER_SCOPUS&id=doi:&genre=&isbn=&issn=&date=2001&volume=70&issue=234&spage=489&epage=505&aulast=Nilssen&aufirst=%20T%20K&auinit=&title=Mathematics%20of%20Computation&atitle=A%20robust%20nonconforming%20H. |
| dc.identifier.doi |
http://dx.doi.org/10.1090/S0025-5718-00-01230-8 |
| dc.description.version |
Published version |
