An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition

DOI10.1137/S0036142901392134zbMath1027.65148OpenAlexW2041917536MaRDI QIDQ4785813

Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto

Publication date: 5 January 2003

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142901392134

zbMATH Keywords

performance complexity stability convergence numerical examples adaptive mesh refinement Stokes system a posteriori error estimators quasi-optimal meshes data oscillation elliptic adaptive inner iteration

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Complexity and performance of numerical algorithms (65Y20)

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