Analytic regularity of Stokes flow on polygonal domains in countably weighted Sobolev spaces

DOI10.1016/j.cam.2005.02.018zbMath1121.35098OpenAlexW2134461212MaRDI QIDQ818276

Christoph Schwab, Ben Qi Guo

Publication date: 24 March 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.02.018

zbMATH Keywords

regularitycorner singularityweighted Sobolev spacescountably normed spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Analyticity in context of PDEs (35A20) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Mixed finite element approximation of incompressible MHD problems based on weighted regularization, The qualitative analysis of solution of the Stokes and Navier-Stokes system in non-smooth domains with weighted Sobolev spaces, Tensor rank bounds for point singularities in \(\mathbb{R}^3\), ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA, HIGH-ORDER GALERKIN APPROXIMATIONS FOR PARAMETRIC SECOND-ORDER ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, Weighted analytic regularity in polyhedra, Inverse problem of shape identification from boundary measurement for Stokes equations: shape differentiability of Lagrangian, Axisymmetric Stokes equations in polygonal domains: regularity and finite element approximations, Regularity estimates and optimal finite element methods in \(W_p^1\) on polygonal domains, Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems, Exponential ReLU neural network approximation rates for point and edge singularities, Theoretical analysis and construction of numerical method for solving the Navier-Stokes equations in rotation form with corner singularity, On Stokes--Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes--Darcy Model, Optimal Sobolev regularity for the Stokes equations on a 2D wedge domain, Analytic Regularity for the Incompressible Navier--Stokes Equations in Polygons, An anisotropic finite element method on polyhedral domains: Interpolation error analysis, Optimal quadrilateral finite elements on polygonal domains, Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon, \(p\)- and \(hp\)-virtual elements for the Stokes problem, Weighted finite element method for the Stokes problem with corner singularity, New Approximate Method for Solving the Stokes Problem in a Domain with Corner Singularity, Exponential convergence in \(H^1\) of \textit{hp}-FEM for Gevrey regularity with isotropic singularities, Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains, Lagrangian controllability at low Reynolds number, Mass Conserving Mixed $hp$-FEM Approximations to Stokes Flow. Part II: Optimal Convergence, A note on the regularity of thermally coupled viscous flows with critical growth in nonsmooth domains, Shape Optimization for Stokes flows: a finite element convergence analysis, The Stationary Navier-Stokes System with No-Slip Boundary Condition on Polygons: Corner Singularity and Regularity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II
• A regularity result for the Stokes problem in a convex polygon
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Mixed \(hp\) finite element methods for Stokes and non-Newtonian flow
• On the regularity of elasticity problems with piecewise analytic data
• Hierarchic Modelling in Elasticity by generalized p- and hp-FEM
• On the Sharpness of Certain Local Estimates for $\overset{\circ}{H}^1$ Projections into Finite Element Spaces: Influence of a Reentrant Corner
• 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
• Regularite gevrey pour le probleme de dirichlet dans des domaines a singularites coniques
• The $h-p$ version of the finite element method with quasiuniform meshes
• The Optimal Convergence Rate of the p-Version of the Finite Element Method
• Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
• The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries
• On the Convergence of the p-Version of the Boundary Element Galerkin Method
• The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
• Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE