A Posteriori Error Analysis for Pressure-Robust HDG Methods for the Stationary Incompressible Navier–Stokes Equations

Author:

Leng Haitao

Funder

young scientists fund

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference47 articles.

1. Hood, P., Taylor, C.: Navier-Stokes equations using mixed interpolation. Finite element methods in flow problems, pp. 121-132. University of Alabama, Tuscaloosa (1974)

2. Crouzeix, M., Raviart, P.A.: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I. Rev. Fr. Autom. Inf. Rech. Opér. Math. 7, 33–75 (1973)

3. Arnold, D.N., Brezzi, F., Fortin, M.: A stable finite element for the Stokes equations. Calcolo 21, 337–344 (1984)

4. John, V., Linke, A., Merdon, C., Neilan, M., Rebholz, L.G.: On the divergence constrait in mixed finite element methods for incompressible flows. SIAM Rev. 59(3), 492–544 (2017)

5. Linke, A.: On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime. Comput. Methods Appl. Mech. Eng. 268, 782–800 (2014)

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