On a Property of the Elliptic Bilinear Form by Nonconforming Finite Elements
On a Property of the Elliptic Bilinear Form by Nonconforming Finite Elements
Autori:
Izdanje: Naučna konferencija Uniteh 2010
Oblast: Mathematics, Informatics and Physics
Stranice: IIIIII
Apstrakt:
The paper deals with some nonconforming planar elements which fulfill an interesting and useful property. Namely, the elliptic bilinear form a(u,v) of any function u coincides with its finite element interpolation a( ihu,v ) for v belonging to the finite element space Vh . This property is proved for second order boundary value problems and it is applicable for some superconvergence FE algorithms. The common feature of considered cases is that the finite elements have integral type degrees of freedom.
Ključne reči: finite elements, interpolation operator, bilinear form, nonconforming methods
Priložene datoteke:
- UTG10 - ON A PROPERTY OF THE ELLIPTIC BILINEAR FORM BY ( veličina: 152,36 KB, broj pregleda: 2714 )
Kategorije objave:
Radovi na konferenciji Unitech 2010, Gabrovo, Bugarska
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@article{article, author = {A. Andreev and M. Racheva}, title = {On a Property of the Elliptic Bilinear Form by Nonconforming Finite Elements}, journal = {Naučna konferencija Uniteh 2010}, year = 2010, pages = {III-467-470}}
RT Conference Proceedings A1 Andrey Andreev A1 Milena Racheva T1 On a Property of the Elliptic Bilinear Form by Nonconforming Finite Elements AD Naučna konferencija Unitech, Gabrovo, Bugarska YR 2010
A. Andreev and M. Racheva, On a Property of the Elliptic Bilinear Form by Nonconforming Finite Elements, Naučna konferencija Unitech, 2010