An adaptive least-squares FEM for the Stokes equations with optimal convergence rates

DOI10.1007/s00211-016-0806-1zbMath1381.76156OpenAlexW2368336385MaRDI QIDQ512160

Philipp Bringmann, Carsten Carstensen

Publication date: 24 February 2017

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-016-0806-1

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) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Complexity and performance of numerical algorithms (65Y20)

Related Items (8)

Adaptive Least-Squares, Discontinuous Petrov-Galerkin, and Hybrid High-Order Methods ⋮ A low-order discontinuous Petrov-Galerkin method for the Stokes equations ⋮ \(h\)-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates ⋮ Axioms of Adaptivity with Separate Marking for Data Resolution ⋮ The DPG method for the convection-reaction problem, revisited ⋮ An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates ⋮ How to prove optimal convergence rates for adaptive least-squares finite element methods ⋮ Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method

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