Divergence-Free Bases for Finite Element Schemes in Hydrodynamics

DOI10.1137/0720047zbMath0596.76030OpenAlexW2025680273MaRDI QIDQ3730199

Robert Hartman, Karl Gustafson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1137/0720047

zbMATH Keywords

numerical solutionfinite element schemeincompressibility conditiondivergence free bases

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (14)

A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements ⋮ Graph Theory and Fluid Dynamics ⋮ Galerkin methods for the time dependent incompressible elasticity equations ⋮ The construction of a null basis for a discrete divergence operator ⋮ The derivation of minimal support basis functions for the discrete divergence operator ⋮ A discrete divergence free weak Galerkin finite element method for the Stokes equations ⋮ Principles of electricity and economics in fluid dynamics ⋮ Construction of null bases for the divergence operator associated with incompressible Navier-Stokes equations ⋮ Construction of a discrete divergence-free basis through orthogonal factorization in \({\mathcal{H}}\)-arithmetic ⋮ Parallel algorithm for solving linear systems arising from PDE and integral equations ⋮ An absolutely stable weak Galerkin finite element method for the Darcy-Stokes problem ⋮ Iterative solution of Navier-Stokes dual variable difference equations ⋮ The dual variable method for solving fluid flow difference equations on Delaunay triangulations ⋮ Numerical Solution of Navier–Stokes Problems by the Dual Variable Method

This page was built for publication: Divergence-Free Bases for Finite Element Schemes in Hydrodynamics