A coupling of nonconforming and mixed finite element methods for Biot's consolidation model

2013 ◽  
Vol 29 (5) ◽  
pp. 1749-1777 ◽  
Author(s):  
Son-Young Yi
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Mixed Finite Element ◽  
Mixed Finite Element Methods ◽  
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.

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