A posteriori error analysis of a mixed virtual element method for a nonlinear Brinkman model of porous media flow

2020 ◽  
Vol 80 (5) ◽  
pp. 1240-1259
Author(s):  
Mauricio Munar ◽  
Filánder A. Sequeira
Keyword(s):  
Porous Media ◽  
Posteriori Error ◽  
Porous Media Flow ◽  
Brinkman Model ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
Virtual Element Method ◽  
A Posteriori Error ◽  
Virtual Element ◽  
Posteriori Error Analysis

scholarly journals On the Adaptive Numerical Solution to the Darcy–Forchheimer Model

2021 ◽  
Vol 7 (1) ◽  
pp. 36
Author(s):  
María González ◽  
Hiram Varela
Keyword(s):  
Porous Media ◽  
Mixed Method ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error Analysis ◽  
A Posteriori Error ◽  
Error Indicator ◽  
Forchheimer Model ◽  
Posteriori Error Analysis ◽  
Theoretical Results

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.

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