Quasilinear poroelasticity: Analysis and hybrid finite element approximation

2014 ◽  
Vol 31 (4) ◽  
pp. 1174-1189 ◽  
Author(s):  
Yanzhao Cao ◽  
Song Chen ◽  
A. J. Meir
Keyword(s):  
Finite Element ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Hybrid Finite Element

Iterative Solutions of a Mixed Hybrid Finite Element Scheme for the Signorini Problem

2004 ◽  
Vol 4 (2) ◽  
pp. 180-191
Author(s):  
Marina A. Ignatieva ◽  
Alexander V. Lapin
Keyword(s):  
Finite Element ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Signorini Problem ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Hybrid Finite Element Method ◽  
Hybrid Finite Element ◽  
Mixed Hybrid Finite Element ◽  
The Laplace Operator

AbstractA mixed hybrid finite element method of the lowest order is studied for the Signorini problem. An iterative method with a preconditioner being a classical finite element approximation of the Laplace operator is constructed. A multistage iterative procedure for the mixed hybrid finite element scheme is constructed, the rate of convergence and the complexity of this method are analysed.

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