In section 4 we present the mixed finite element method and the finite volume scheme.
The Mixed finite element method is employed for approximated the pressure-velocity equation and the finite volume scheme is used for discretized the concentration equation.
For this reason the mixed finite element method provides a good approximation of the velocity field.
DOUGLAS, PEERS: A new mixed finite element method for plane elasticity, Japan J.
HEUER, A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity, M2AN Math.
Morley) , and discontinuous Galerkin methods , and multigrid preconditioners for mixed finite element methods [16, 17, 24] have been developed for the biharmonic Dirichlet problem.
RAVIART, Mixed finite element methods for 4th order elliptic equations, in Topics in Numerical Analysis III, J.
A-posteriori error estimators for the combination of the mixed finite element method with other techniques have also been developed in recent years.
2) are the standard and well known ones for the mixed finite element method without Lagrange multipliers (see, e.
WHEELER, Domain decomposition and mixed finite element methods
for elliptic problems, in First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987), R.
Applications to three-dimensional mixed finite element methods for the Poisson problem and the Signorini contact problem are then given in Section 3.
Bubble stabilization of three-dimensional mixed finite element methods.