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We introduce an auxiliary variable to a mixed formulation of the problem.
Mixed covolume element (MCVE) method was first introduced by Russell [14] to solve the mixed formulation of linear elliptic problems.
In this paper we apply the recently developed mimetic discretization method to the mixed formulation of the Stokes problem in terms of vorticity, velocity and pressure.
It is easy to see that for any k ∈ { 1, …, N }, equations (46 - 47 46 - 47ent a mixed forepresent of a well-posed Navier-Stokes-type systemixed that our scheme is well deformulation
GEBT is based on the mixed formulation of the geometric exact beam theory which can capture all geometric nonlinearities due to large deflections and rotations, subject to the strains being small.
Using a manufactured solution, a mixed formulation of the Cahn Hilliard equation and the direct discretisation of the weak form, which requires a C1-continuous approximation, are compared in terms of convergence rates.
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We study space and time discretizations for mixed formulations of parabolic problems.
Displacement-based, force-based and mixed formulations of finite element methods have been derived and updated covering linear and nonlinear problems (Ayoub and Filippou 2000; Dall'Asta and Zona 2002).
The first scheme (method A) is based on the use of a primal-mixed formulation of the DD model written as a function of the quasi-Fermi potential gradient (see [12] and [13]).
Method A is based on a primal-mixed formulation of the DD model as a function of the quasi-Fermi potential gradient, while method B is a modification of the standard DD formula based on the introduction of an artificial diffusion matrix.
The application of a mixed formulation for such problems can avoid the difficulties and is of great practical interest as nearly incompressible behavior is encountered in a variety of real engineering problems ranging from soil mechanics to aerospace engineering.
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