In the present paper, we establish the well-posedness, stability, and (weak) convergence of a fully-discrete Rothe--Galerkin approximation of the unsteady $p(\cdot,\cdot)$-Navier--Stokes equations employing an implicit Euler step in time and a discretely inf-sup-stable finite element approximation in space.
Convergence analysis for a finite element approximation of the unsteady p(.,.)-Navier--Stokes equations
Luigi C. Berselli;
2024-01-01
Abstract
In the present paper, we establish the well-posedness, stability, and (weak) convergence of a fully-discrete Rothe--Galerkin approximation of the unsteady $p(\cdot,\cdot)$-Navier--Stokes equations employing an implicit Euler step in time and a discretely inf-sup-stable finite element approximation in space.File in questo prodotto:
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