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Discrete maximal parabolic regularity for Galerkin finite element methods for non-autonomous parabolic problem s
- Source :
- SIAM J. Numer. Anal. 56 (2018) 2178-2202
- Publication Year :
- 2017
-
Abstract
- The main goal of the paper is to establish time semidiscrete and space-time fully discrete maximal parabolic regularity for the lowest order time discontinuous Galerkin solution of linear parabolic equations with time-dependent coefficients. Such estimates have many applications. As one of the applications we establish best approximations type results with respect to the $L^p(0,T;L^2(\Omega))$ norm for $1\le p\le \infty$.
- Subjects :
- Mathematics - Numerical Analysis
Subjects
Details
- Database :
- arXiv
- Journal :
- SIAM J. Numer. Anal. 56 (2018) 2178-2202
- Publication Type :
- Report
- Accession number :
- edsarx.1707.09163
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1137/17M114100X