Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology

DOI10.1051/m2an/2015085zbMath1457.65201arXiv1503.05378OpenAlexW2471819187MaRDI QIDQ2830700

Christian Kreuzer, Endre Süli

Publication date: 28 October 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05378

zbMATH Keywords

convergenceadaptive finite element methodspower-law fluidsa posteriori analysisimplicit constitutive models

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (12)

A hybrid high-order method for creeping flows of non-Newtonian fluids ⋮ An adaptive iterative linearised finite element method for implicitly constituted incompressible fluid flow problems and its application to Bingham fluids ⋮ On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary ⋮ The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies ⋮ Non-isothermal non-Newtonian fluids: The stationary case ⋮ A Local Discontinuous Galerkin Approximation for the p-Navier–Stokes System, Part I: Convergence Analysis ⋮ Analysis of a stabilised finite element method for power-law fluids ⋮ Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients ⋮ Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation ⋮ Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology ⋮ On nonlinear problems of parabolic type with implicit constitutive equations involving flux ⋮ Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids

Uses Software

• ALBERTA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solenoidal Lipschitz truncation and applications in fluid mechanics
• Mathematical properties of flows of incompressible power-law-like fluids that are described by implicit constitutive relations
• On implicit constitutive theories.
• On the thermodynamics of fluids defined by implicit constitutive relations
• Continuity and compactness of measures
• Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM
• A recursive approach to local mesh refinement in two and three dimensions
• On flows of an incompressible fluid with a discontinuous power-law-like rheology
• A quasi-local interpolation operator preserving the discrete divergence
• Interpolation operators in Orlicz--Sobolev spaces
• Quasi-Norm Local Error Estimators forp-Laplacian
• Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology
• Finite Element Approximation of Steady Flows of Incompressible Fluids with Implicit Power-Law-Like Rheology
• SOLENOIDAL LIPSCHITZ TRUNCATION FOR PARABOLIC PDEs
• Optimality of an adaptive finite element method for the p-Laplacian equation
• On the Finite Element Approximation ofp-Stokes Systems
• A convergence proof for adaptive finite elements without lower bound
• On Unsteady Flows of Implicitly Constituted Incompressible Fluids
• On elliptic and parabolic systems withx-dependent multivalued graphs
• Two-sided a posteriori error bounds for incompressible quasi-Newtonian flows
• A BASIC CONVERGENCE RESULT FOR CONFORMING ADAPTIVE FINITE ELEMENTS
• A decomposition technique for John domains
• Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation
• Local mesh refinement in 2 and 3 dimensions
• Mixed and Hybrid Finite Element Methods
• On steady flows of incompressible fluids with implicit power-law-like rheology
• The completion of locally refined simplicial partitions created by bisection
• On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
• On implicit constitutive theories for fluids
• Two-grid finite-element schemes for the steady Navier-Stokes problem in polyhedra

This page was built for publication: Adaptive finite element approximation of steady flows of incompressible fluids with implicit power-law-like rheology