A generalization of Uzawa's algorithm for the solution of the Navier-Stokes equations

DOI10.1002/cnm.1630010504zbMath0592.76040OpenAlexW2024929721MaRDI QIDQ3722059

André Fortin, Michel Fortin

Publication date: 1985

Published in: Communications in Applied Numerical Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1630010504

zbMATH Keywords

functionalNewton-Raphson schemenonlinear Navier-Stokes equationshomogeneous boundary conditionsdivergence-free solutiondivergence-free Stokes problemsaddle-points of the Lagrangian

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Basic methods in fluid mechanics (76M99)

Related Items

Numerical simulation of viscous flows in hydraulic turbomachinery by the finite element method, Simple continuous pressure elements for two- and three-dimensional incompressible flows, A numerical simulation of the transition to turbulence in a two- dimensional flow, A three field element via augmented Lagrangian for modelling bulk metal forming processes, Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations, A finite difference Galerkin formulation for the incompressible Navier- Stokes equations, Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations, Numerical simulation of shear-thinning flow problems in mixing vessels, Unnamed Item, A free surface updating methodology for marker function-based Eulerian free surface capturing techniques on unstructured meshes, New Unconditionally Stable Schemes for the Navier-Stokes Equations, A new iterative technique of the finite element method for the analysis of the steady state incompressible viscous flow based on the transformation of variables, A second-order projection method for variable-density flows, Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms, LINEAR STABILITY ANALYSIS GENERALIZED TO A THERMALLY-DRIVEN FLOW, FGMRES preconditioning by symmetric/skew-symmetric decomposition of generalized Stokes problems, Une nouvelle approche pour l'optimisation de formes en hydrodynamique. (A new approach for the optimization of hydrodynamical forms), Exact energy and momentum conserving algorithms for general models in nonlinear elasticity, Algorithmic symmetrization of Coulomb frictional problems using augmented Lagrangians, A Two-dimensional Numerical Method for the Deformation of Drops with Surface Tension, Neural network‐based parameter estimation for non‐linear finite element analyses