On high-order pressure-robust space discretisations, their advantages for incompressible high Reynolds number generalised Beltrami flows and beyond

Author:

Gauger Nicolas R.,Linke Alexander,Schroeder Philipp W.

Publisher

Cellule MathDoc/CEDRAM

Reference65 articles.

1. [1] Ahmed, N.; Linke, A.; Merdon, C. On really locking-free mixed finite element methods for the transient incompressible Stokes equations, SIAM J. Numer. Anal., Volume 56 (2018) no. 1, pp. 185-209

2. [2] Ahmed, N.; Linke, A.; Merdon, C. Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations, Comput. Methods Appl. Math., Volume 18 (2018) no. 3, pp. 353-372

3. [3] Akbas, M.; Linke, A.; Rebholz, L. G.; Schroeder, P. W. The analogue of grad-div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes, Comput. Methods Appl. Mech. Engrg., Volume 341 (2018), pp. 917-938

4. [4] Arndt, D.; Dallmann, H.; Lube, G. Local projection FEM stabilization for the time-dependent incompressible Navier–Stokes problem, Numer. Methods Partial Differential Equations, Volume 31 (2015) no. 4, pp. 1224-1250

5. [5] Arnold, D. N.; Brezzi, F.; Fortin, M. A stable finite element for the Stokes equations, Calcolo, Volume 21 (1984) no. 4, p. 337-344 (1985)

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