Use this link to cite:

http://hdl.handle.net/2183/29371

On the Adaptive Numerical Solution to the Darcy–Forchheimer Model †

Thumbnail Image

Files

Gonzalez_Maria_2021_On_the_Adaptive_Numerical_Solution.pdf (320.31 KB)

Identifiers

URI: http://hdl.handle.net/2183/29371
DOI: 10.3390/engproc2021007036

Publication date

2021

Authors

Advisors

Other responsabilities

Journal Title

Bibliographic citation

González, M.; Varela, H. On the Adaptive Numerical Solution to the Darcy–Forchheimer Model. Eng. Proc. 2021, 7, 36. https://doi.org/10.3390/engproc2021007036

Type of academic work

Academic degree

Abstract

[Abstract] We considered a primal-mixed method for the Darcy–Forchheimer boundary value problem. This model arises in fluid mechanics through porous media at high velocities. We developed an a posteriori error analysis of residual type and derived a simple a posteriori error indicator. We proved that this indicator is reliable and locally efficient. We show a numerical experiment that confirms the theoretical results.

Description

Presented at the 4th XoveTIC Conference, A Coruña, Spain, 7–8 October 2021.

Keywords

Darcy–Forchheimer Mixed finite element A posteriori error estimates

Editor version

https://doi.org/10.3390/engproc2021007036

Rights

Atribución 3.0 España

Collections

Investigación (FIC)
Atribución 3.0 España

Except where otherwise noted, this item's license is described as Atribución 3.0 España