An Analysis of the Finite Element Method Using Lagrange Multipliers for the Stationary Stokes Equations

DOI10.2307/2005965zbMath0351.65028OpenAlexW4239980049MaRDI QIDQ4121377

Richard S. Falk

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2005965

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Related Items

Two-level Galerkin-Lagrange multipliers method for the stationary Navier-Stokes equations, Accuracy and efficiency of multivariant finite elements for three‐dimensional simulation of viscous incompressible flows, Analysis of iterative algorithms of Uzawa type for saddle point problems, A composite penalty method of a low order anisotropic nonconforming finite element for the Stokes problem, Finite elements for incompressible flow, A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems, A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method, An Inexact Uzawa Algorithmic Framework for Nonlinear Saddle Point Problems with Applications to Elliptic Optimal Control Problem

Cites Work

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• A regularity result for the Stokes problem in a convex polygon
• The finite element method with Lagrangian multipliers
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• A Penalty and Extrapolation Method for the Stationary Stokes Equations