A POSTERIORI ERROR ESTIMATES FOR PRESSURE-CORRECTION SCHEMES

Bänsch E, Brenner A (2016)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2016

Journal

Publisher: SIAM PUBLICATIONS

Book Volume: 54

Pages Range: 2323-2358

Journal Issue: 4

DOI: 10.1137/15M102753X

Abstract

A posteriori error estimates for time discretization of the incompressible Stokes equations by pressure-correction methods are presented. We rigorously prove global upper bounds for the incremental backward Euler scheme as well as for the two-step backward differential formula method (BDF2) in rotational form. Moreover, rate optimality of the estimators is stated for velocity (in the case of backward Euler and BDF2 in rotational form) and pressure (in the case of Euler). Computational experiments confirm the theoretical results.

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How to cite

APA:

Bänsch, E., & Brenner, A. (2016). A POSTERIORI ERROR ESTIMATES FOR PRESSURE-CORRECTION SCHEMES. SIAM Journal on Numerical Analysis, 54(4), 2323-2358. https://dx.doi.org/10.1137/15M102753X

MLA:

Bänsch, Eberhard, and Andreas Brenner. "A POSTERIORI ERROR ESTIMATES FOR PRESSURE-CORRECTION SCHEMES." SIAM Journal on Numerical Analysis 54.4 (2016): 2323-2358.

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