Mixed \(hp\) finite element methods for Stokes and non-Newtonian flow
From MaRDI portal
Publication:1299314
DOI10.1016/S0045-7825(98)00355-7zbMath0924.76052OpenAlexW1971742591MaRDI QIDQ1299314
Publication date: 14 November 1999
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00355-7
stability analysisincompressible flowexponential convergencethree-field Stokes problemvelocity-pressure formulationnonsmooth domainselastic-viscous-split-stress methodestimates for discrete inf-sup constantslinearized non-Newtonian flow
Non-Newtonian fluids (76A05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces, Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem, The inf-sup constant for \textit{hp}-Crouzeix-Raviart triangular elements, A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology, High order methods for the approximation of the incompressible Navier-Stokes equations in a moving domain, Mixed spectral/\(hp\) element formulation for nonlinear elasticity, Analytic Regularity for the Incompressible Navier--Stokes Equations in Polygons, Locking-free mixed \(hp\) finite element methods for curvilinear domains, \(p\)- and \(hp\)-virtual elements for the Stokes problem, Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part I: Uniform Stability, The triangular spectral element method for Stokes eigenvalues
Uses Software
Cites Work
- Unnamed Item
- On the convergence of the mixed method of Crochet and Marchal for viscoelastic flows
- The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II
- Finite element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity.
- A new mixed finite element for calculating viscoelastic flow
- Spectral approximation for elliptic boundary value problems
- An analysis of a mixed finite element method for the Navier-Stokes equations
- HP90: A general and flexible Fortran 90 \(hp\)-FE code
- On the regularity of elasticity problems with piecewise analytic data
- Bounds on spectral condition numbers of matrices arising in the \(p\)- version of the finite element method
- Mixed \(hp\) finite element methods for problems in elasticity and Stokes flow
- Mixed \(hp\)-FEM on anisotropic meshes. II: Hanging nodes and tensor products of boundary layer meshes
- Hierarchic Modelling in Elasticity by generalized p- and hp-FEM
- Error Analysis of some Finite Element Methods for the Stokes Problem
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. II: The Trace Spaces and Application to the Boundary Value Problems with Nonhomogeneous Boundary Conditions
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
- Existence, Uniqueness and Approximation for Generalized Saddle Point Problems
- Mixed and Hybrid Finite Element Methods
- UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM
- On a Right-Inverse for the Divergence Operator in Spaces of Continuous Piecewise Polynomials
- ON THE SELECTION OF A LOCKING-FREEhp ELEMENT FOR ELASTICITY PROBLEMS
- Incompressible Computational Fluid Dynamics