Mixed finite element analysis of a non‐linear three‐fields Stokes ...

Abstract. In this article, a mixed finite element analysis of the non‐linear Stokes problem with monotone constitutive laws is considered. We construct a n.

Mixed finite element analysis of a non-linear three-fields Stokes model

We construct a new three-field model for incompressible fluids where the velocity u, the non-linear stress tensor σ = Ψ(|∇u|)∇u and the pressure p are the most ...

Mixed finite element analysis of a non-linear three-fields Stokes model

Abstract. In this article, a mixed finite element analysis of the non-linear Stokes problem with monotone constitutive laws is considered. We construct a new ...

A three-field mixed finite element method for the convective ...

In this paper we present and analyze a new mixed finite element method for the nonlinear problem given by the stationary convective Brinkman–Forchheimer ...

Dual-mixed finite elements for the three-field Stokes model as a ...

In this paper, a new three-field weak formulation for Stokes problems is developed, and from this, a dual-mixed finite element method is proposed on a ...

Finite element methods for the three-field Stokes system in ℝ 3

non linear problems In particular lts study is essential for denving efficient approximation methods of the Systems of partial differential équations that.

Analysis of mixed finite element methods for the stokes problem

results can be extended to the nonlinear Navier-Stokes equations; cf. [11]. The analysis of mixed methods for the Stokes ...

Dual-Mixed Finite Element Approximation of Stokes and Nonlinear ...

Many of these methods are based on two- or three-field first-order partial differential systems: (i) velocity, vorticity, and pressure [15, 16],.

A Dual-Mixed Approximation Method for a Three-Field Model of a ...

Fortin, Mixed and Hybrid Finite Element Methods, Springer ... Farhloul, Mixed finite element analysis of a non-linear three-fields Stokes.

A fully‐mixed finite element method for the coupling of the Navier ...

In this work we present and analyze a fully-mixed formulation for the nonlinear model given by the coupling of the Navier–Stokes and Darcy–Forchheimer ...

Finite Element Approximation of the Three-Field Formulation of the ...

Hulsen, and P.D. Anderson, The use of mixed finite element methods for viscoelastic fluid flow analysis, Chapter 14 in Encyclopedia of Computational Mechanics, ...

Mathematical Models and Methods in Applied Sciences

Farhloul, Mohamed, IMA Journal of Numerical Analysis, 2007. Mixed finite element analysis of a non‐linear three‐fields Stokes model. Manouzi, H., IMA Journal ...

New mixed finite element methods for the coupled Stokes and ...

Volume 57 / No 3 (May-June 2023) · ESAIM: M2AN, 57 3 (2023) 1511-1551 Abstract ... linear source terms, which is in turn additionally perturbed by a bilinear form ...

Mixed Finite Element Method for the Stokes System—Some ...

The topic of linear solvers for the Stokes equation is pretty well discussed in the literature, and the common consensus is that (i) using ...

An Augmented Mixed Finite Element Method for the Navier--Stokes ...

Stanculescu, A dual-mixed approximation method for a three-field model of a nonlinear generalized Stokes problem, Comput. Methods Appl. Mech. Engrg., 197 ...

Stabilised finite element method for Stokes problem with nonlinear ...

Fujita [10], or, alternatively, as mixed variational inequalities by expressing the boundary traction as a Lagrange multiplier which enforces ...

[PDF] Dual-mixed finite element approximation of Stokes and ...

Mixed finite element analysis of a non‐linear three‐fields Stokes model · H. ManouziM. Farhloul. Mathematics, Engineering. 2001. In this article, a mixed finite ...

Dual-mixed finite elements for the three-field Stokes model as a ...

Arbogast, Mixed finite elements for elliptic problems with tensor coefficients as cell-centered finite differences, SIAM J. · Baranger, Numerical analysis of a ...

Approximation of the three-field Stokes system via optimized ...

"Approximation of the three-field Stokes system via optimized quadrilateral finite elements." ESAIM: Mathematical Modelling and Numerical Analysis - ...

On the stability of mixed polygonal finite element formulations in ...

3 SPURIOUS PRESSURE MODES. 3.1 Reformulation of the mixed bilinear form. In nonlinear analysis, the element stiffness matrix depends on the ...