scholarly journals Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model

2019 ◽  
Vol 347 ◽  
pp. 264-294 ◽  
Author(s):  
Elyes Ahmed ◽  
Florin Adrian Radu ◽  
Jan Martin Nordbotten
Keyword(s):  
Error Estimates ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Mixed Formulations ◽  
Consolidation Model ◽  
Biot’S Consolidation

scholarly journals Residual-based a posteriori error estimates of mixed methods for a three-field Biot’s consolidation model

2020 ◽  
Author(s):  
Yuwen Li ◽  
Ludmil T Zikatanov
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Finite Element Methods ◽  
Mixed Finite Element ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Consolidation Model ◽  
Biot’S Consolidation

Abstract We present residual-based a posteriori error estimates of mixed finite element methods for the three-field formulation of Biot’s consolidation model. The error estimator are upper and lower bounds of the space-time discretization error up to data oscillation. As a by-product, we also obtain a new a posteriori error estimate of mixed finite element methods for the heat equation.

scholarly journals A posteriori error estimates for enriched mixed formulations

2020 ◽  
Author(s):  
Gustavo Alcalá Batistela ◽  
Denise De Siqueira ◽  
Phillipe R. B. Devloo
Keyword(s):  
Error Estimates ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Mixed Formulations
Sign in / Sign up

Export Citation Format

Share Document