Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis
DOI10.1007/s10092-023-00563-zOpenAlexW4391427628WikidataQ128902781 ScholiaQ128902781MaRDI QIDQ6151541
Sayah Toni, Koko Jonas, Gidey Hagos, Djoko Kamdem Jules
Publication date: 11 March 2024
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-023-00563-z
Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) 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) A priori estimates in context of PDEs (35B45) Rate of convergence, degree of approximation (41A25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Artificial boundaries and formulations for the incompressible Navier-Stokes equations: applications to air and blood flows
- Uzawa conjugate gradient domain decomposition methods for coupled Stokes flows
- Compatible algorithms for coupled flow and transport
- Analyse numérique des écoulements quasi-Newtoniens dont la viscosité obéit à la loi puissance ou la loi de Carreau. (Numerical analysis of quasi-Newtonian flow obeying the power low or the Carreau flow)
- Numerical discretization of a Darcy-Forchheimer model
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition
- Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition. II
- Handbook of Numerical Analysis IX. Numerical methods for fluids (Part 3)
- Flows of incompressible viscous liquids with anisotropic wall slip
- Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
- Stokes and Navier-Stokes equations under power law slip boundary condition: numerical analysis
- Penalty: finite element approximation of Stokes equations with slip boundary conditions
- Lagrange multiplier-based domain decomposition methods for a non-linear sedimentary basin problem
- Convergence analysis of optimization-based domain decomposition methods for a bonded structure
- Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
- A fictitious domain decomposition method for a nonlinear bonded structure
- The effect of anisotropic and isotropic roughness on the convective stability of the rotating disk boundary layer
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- A non-conforming piecewise quadratic finite element on triangles
- Finite Element Methods for Navier-Stokes Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Sur l'approximation numérique des écoulements quasi-newtoniens dont la viscosité suit la loi puissance ou la loi de Carreau
- Nonconforming Finite Elements for the Stokes Problem
- A DOMAIN DECOMPOSITION METHOD FOR A BONDED STRUCTURE
- Mixedhp-DGFEM for Incompressible Flows
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- AN OPTIMIZATION-BASED DOMAIN DECOMPOSITION METHOD FOR A BONDED STRUCTURE
- Korn's inequalities for piecewise $H^1$ vector fields
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- Mixed Finite Element Methods and Applications
- New development in freefem++
- Stokes equations with penalised slip boundary conditions
- Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition
- AN OPTIMIZATION-BASED DOMAIN DECOMPOSITION METHOD FOR NONLINEAR WALL LAWS IN COUPLED SYSTEMS
- A Discontinuous Subgrid Eddy Viscosity Method for the Time-Dependent Navier--Stokes Equations
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