CrossRef Open Access 2025

Adaptive Morley FEM for 2D stationary Navier-Stokes

Carsten Carstensen Benedikt Gräßle

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Abstrak

Particular adaptive Morley finite element schemes for the approximation to a regular root of the incompressible stream function vorticity formulation of the stationary 2D Navier-Stokes equations guarantee optimal convergence rates. A smoother in the quadratic nonlinearity enables reliable and efficient explicit residual-based a posteriori error estimators in a standard adaptive loop and allows for the first rate-optimality result for the Navier-Stokes equations. A numerical comparison verifies the efficiency of the proposed error estimators and the optimal convergence rates in the discrete energy and in weaker piecewise Sobolev norms.

Penulis (2)

Carsten Carstensen

Benedikt Gräßle

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APA MLA BibTeX

Carstensen, C., Gräßle, B. (2025). Adaptive Morley FEM for 2D stationary Navier-Stokes. https://doi.org/10.1090/mcom/4069

Akses Cepat

Lihat di Sumber doi.org/10.1090/mcom/4069

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: CrossRef
DOI: 10.1090/mcom/4069
Akses: Open Access ✓