Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations

DOI10.1137/120868906zbMath1408.76368OpenAlexW2063391682MaRDI QIDQ2855105

Kuo Liu, Lei Tang, Thomas A. Manteuffel, Stephen F. McCormick, J. W. Ruge

Publication date: 24 October 2013

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

Full work available at URL: https://doi.org/10.1137/120868906

zbMATH Keywords

mass conservationnested iterationleast squares finite element methodadaptive local refinementerror measurestokes equations

Mathematics Subject Classification ID

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)

Related Items (4)

Reconstructed Discontinuous Approximation to Stokes Equation in a Sequential Least Squares Formulation ⋮ FOSLL* for Nonlinear Partial Differential Equations ⋮ VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity ⋮ Adaptively weighted least squares finite element methods for partial differential equations with singularities

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