Quasi-optimality constants for parabolic Galerkin approximation in space

Contributo in Atti di convegno

Data di Pubblicazione:

2016

Citazione:

Quasi-optimality constants for parabolic Galerkin approximation in space / F. Tantardini, A. Veeser (LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING). - In: Numerical mathematics and advanced applications. ENUMATH 2015 / [a cura di] B. Karasözen, M. Manguoğlu, M. Tezer-Sezgin, S. Göktepe, Ö. Uğur. - Prima edizione. - [s.l] : Springer Verlag, 2016. - ISBN 9783319399270. - pp. 105-113 (( convegno European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2015 tenutosi a Ankara nel 2015 [10.1007/978-3-319-39929-4_11].

Abstract:

We consider Galerkin approximation in space of linear parabolic initialboundary value problems where the elliptic operator is symmetric and thus induces an energy norm. For two related variational settings, we show that the quasioptimality constant equals the stability constant of the L2-projection with respect to that energy norm.

Tipologia IRIS:

03 - Contributo in volume

Keywords:

Galerkin methods; finite element methods; parabolic equations; quasi-optimality constant; H1-stability of L2-projection

Elenco autori: