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.
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].
Quasi-optimality constants for parabolic Galerkin approximation in space
A. VeeserUltimo
2016
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.
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