scientific article; zbMATH DE number 1276039

DOI<237::AID-NUM7>3.0.CO;2-R 10.1002/(SICI)1098-2426(199903)15:2<237::AID-NUM7>3.0.CO;2-RzbMath0921.76102MaRDI QIDQ4238910

Pavel B. Bochev

Publication date: 29 September 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

first-order systemoptimal error estimatespreconditionersleast-squares functionaldiscrete negative norms

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• Unnamed Item
• Least-squares finite elements for the Stokes problem
• Accuracy of least-squares methods for the Navier--Stokes equations
• Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations.
• A least-squares finite element method for the Navier-Stokes equations
• Finite Element Methods for Navier-Stokes Equations
• Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
• Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II