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- Title
L2(I;H1(Ω)d) and L2(I;L2(Ω)d) best approximation type error estimates for Galerkin solutions of transient Stokes problems.
- Authors
Leykekhman, Dmitriy; Vexler, Boris
- Abstract
In this paper we establish best approximation type estimates for the fully discrete Galerkin solutions of transient Stokes problem in L 2 (I ; L 2 (Ω) d) and L 2 (I ; H 1 (Ω) d) norms. These estimates fill the gap in the error analysis of the transient Stokes problems and have a number of applications. The analysis naturally extends to inhomogeneous parabolic problems. The best type L 2 (I ; H 1 (Ω)) error estimate are new even for scalar parabolic problems.
- Subjects
APPROXIMATION error; TRANSIENT analysis
- Publication
Calcolo, 2024, Vol 61, Issue 1, p1
- ISSN
0008-0624
- Publication type
Article
- DOI
10.1007/s10092-023-00560-2