A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem

Bänsch E, Karakatsani F, Makridakis C (2018)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2018

Journal

Calcolo Springer Verlag (Germany)

Publisher: SPRINGER-VERLAG ITALIA SRL

Book Volume: 55

Journal Issue: 2

DOI: 10.1007/s10092-018-0259-2

Abstract

This work is devoted to a posteriori error analysis of fully discrete finite element approximations to the time dependent Stokes system. The space discretization is based on popular stable spaces, including Crouzeix-Raviart and Taylor-Hood finite element methods. Implicit Euler is applied for the time discretization. The finite element spaces are allowed to change with time steps and the projection steps include alternatives that is hoped to cope with possible numerical artifices and the loss of the discrete incompressibility of the schemes. The final estimates are of optimal order in L-infinity(L-2) for the velocity error.

Authors with CRIS profile

Eberhard Bänsch Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

Involved external institutions

University of Cyprus (UCY) / Πανεπιστήμιο Κύπρου CY Cyprus (CY) University of Crete / Πανεπιστήμιο Κρήτης GR Greece (GR)

How to cite

APA:

Bänsch, E., Karakatsani, F., & Makridakis, C. (2018). A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem. Calcolo, 55(2). https://doi.org/10.1007/s10092-018-0259-2

MLA:

Bänsch, Eberhard, F. Karakatsani, and Charalambos Makridakis. "A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem." Calcolo 55.2 (2018).

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