A posteriori error estimates for the Brinkman–Darcy–Forchheimer problem

In this paper, we study the a posteriori error estimate corresponding to the Brinkman–Darcy–Forchheimer problem. We introduce the variational formulation discretized by using the finite element method. Then, we establish an a posteriori error estimation with two types of error indicators related to...

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Veröffentlicht in:	Computational & applied mathematics 2021-10, Vol.40 (7), Article 256
1. Verfasser:	Sayah, Toni
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Applied physics Computational mathematics Computational Mathematics and Numerical Analysis Discretization Error analysis Finite element method Mathematical analysis Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Zusammenfassung:	In this paper, we study the a posteriori error estimate corresponding to the Brinkman–Darcy–Forchheimer problem. We introduce the variational formulation discretized by using the finite element method. Then, we establish an a posteriori error estimation with two types of error indicators related to the discretization and to the linearization. Finally, numerical investigations are shown and discussed.
ISSN:	2238-3603 1807-0302
DOI:	10.1007/s40314-021-01647-8