Abstract
We consider Galerkin approximation in space of linear parabolic initial-boundary value problems where the elliptic operator is symmetric and thus induces an energy norm. For two related variational settings, we show that the quasi-optimality constant equals the stability constant of the L 2-projection with respect to that energy norm.
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Tantardini, F., Veeser, A. (2016). Quasi-Optimality Constants for Parabolic Galerkin Approximation in Space. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_11
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DOI: https://doi.org/10.1007/978-3-319-39929-4_11
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