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2016 | OriginalPaper | Chapter

Quasi-Optimality Constants for Parabolic Galerkin Approximation in Space

Authors : Francesca Tantardini, Andreas Veeser

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2015

Publisher: Springer International Publishing

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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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previous chapter Finite Elements for the Navier-Stokes Problem with Outflow Condition
next chapter Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method
Literature
1.
R. Andreev, Wavelet-in-time multigrid-in-space preconditioning of parabolic evolution equations. SIAM J. Sci. Comput. 38 (1), A216-A242 (2016)MathSciNetCrossRefMATH
2.
D.N. Arnold, I. Babuška, J. Osborn, Finite element methods: principles for their selection. Comput. Methods Appl. Mech. Eng. 45 (1–3), 57–96 (1984)MathSciNetCrossRefMATH
3.
4.
I. Babuška, T. Janik, The h-p version of the finite element method for parabolic equations. I. The p-version in time. Numer. Methods Partial Differ. Equ. 5 (4), 363–399 (1989)
5.
K. Chrysafinos, L.S. Hou, Error estimates for semidiscrete finite element approximations of linear and semilinear parabolic equations under minimal regularity assumptions. SIAM J. Numer. Anal. 40 (1), 282–306 (2002)MathSciNetCrossRefMATH
6.
7.
8.
F. Tantardini, A. Veeser, The L 2-projection and quasi-optimality in Galerkin methods for parabolic equations. SIAM J. Numer. Anal. 54 (1), 317-340 (2016)MathSciNetCrossRefMATH
9.
Metadata
Title
Quasi-Optimality Constants for Parabolic Galerkin Approximation in Space
Authors
Francesca Tantardini
Andreas Veeser
Copyright Year
2016
Book
Numerical Mathematics and Advanced Applications ENUMATH 2015

Print ISBN: 978-3-319-39927-0

Electronic ISBN: 978-3-319-39929-4

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-39929-4_11

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