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Journal of Applied Mathematics and Computing

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13-02-2020 | Original Research

A posteriori analysis of the Newton method applied to the Navier–Stokes problem

Authors: Jad Dakroub, Joanna Faddoul, Toni Sayah

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2020

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Abstract

In this paper we study the a posteriori error estimates for the Navier–Stokes equations. The problem is discretized using the finite element method and solved using the Newton iterative algorithm. A posteriori error estimate has been established based on two types of error indicators. Finally, numerical experiments and comparisons with previous works validate the proposed scheme and show the effectiveness of the studied algorithm.

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Title: A posteriori analysis of the Newton method applied to the Navier–Stokes problem
Authors: Jad Dakroub
Joanna Faddoul
Toni Sayah
Publication date: 13-02-2020
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2020
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01323-w

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