Finite element analysis of a pseudostress–pressure–velocity formulation of the stationary Navier–Stokes equations.
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| Title: | Finite element analysis of a pseudostress–pressure–velocity formulation of the stationary Navier–Stokes equations. |
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| Authors: | Farhloul, M.1 (AUTHOR) mohamed.farhloul@umoncton.ca, Fall, N.2 (AUTHOR) ndiogou.fall.1@ulaval.ca, Dione, I.1 (AUTHOR) ibrahima.dione@umoncton.ca, Léger, S.1 (AUTHOR) sophie.leger@umoncton.ca |
| Source: | Journal of Computational & Applied Mathematics. Dec2025, Vol. 469, pN.PAG-N.PAG. 1p. |
| Subjects: | Finite element method, Stokes equations, Equations, Velocity, Polynomials |
| Abstract: | This article is concerned with a dual-mixed formulation of the Navier–Stokes equations which is based on the introduction of the pseudostress as a new unknown. The problem is approximated by a mixed finite element method in two and three dimensions: Raviart–Thomas elements of index k ≥ 0 for the pseudostress tensor, and piecewise discontinuous polynomials of degree k ≥ 0 for the velocity and the pressure. An existence result for the finite-element solution and convergence results are proved near a nonsingular solution. Finally, quasi-optimal error estimates, which improve those existing in the literature, are provided. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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