Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra
DOI10.1137/19M1274456zbMath1440.65180arXiv1907.06871OpenAlexW3026705515MaRDI QIDQ5113121
Dmitriy Leykekhman, Boris Vexler, Niklas Behringer
Publication date: 10 June 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.06871
PDEs in connection with fluid mechanics (35Q35) 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)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Discrete maximal parabolic regularity for Galerkin finite element methods
- The first boundary value problem for classical equations of mathematical physics in domains with partially smooth boundaries. I
- Max-norm stability of low order Taylor-Hood elements in three dimensions
- Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra
- Zur \(L^\infty\)-Konvergenz linearer finiter Elemente beim Dirichlet- Problem
- Über die punktweise Konvergenz finiter Elemente
- Maximum-norm stability of the finite element Stokes projection
- Theory and practice of finite elements.
- A semi-smooth Newton method for control constrained boundary optimal control of the Navier-Stokes equations
- A quasi-local interpolation operator preserving the discrete divergence
- An explicit right inverse of the divergence operator which is continuous in weighted norms
- Finite Element Pointwise Results on Convex Polyhedral Domains
- Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems
- Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra
- A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space
- On the positivity of discrete harmonic functions and the discrete Harnack inequality for piecewise linear finite elements
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Interior maximum norm estimates for finite element discretizations of the Stokes equations
- Sharp Maximum Norm Error Estimates for Finite Element Approximations of the Stokes Problem in 2 - D
- A Weak Discrete Maximum Principle and Stability of the Finite Element Method in L ∞ on Plane Polygonal Domains. I
- Interior Maximum Norm Estimates for Finite Element Methods
- Stationary Stokes and Navier–Stokes Systems on Two- or Three-Dimensional Domains with Corners. Part I. Linearized Equations
- Interior Maximum-Norm Estimates for Finite Element Methods, Part II
- Local error estimates for finite element discretization of the Stokes equations
- Weak discrete maximum principle of finite element methods in convex polyhedra
- A Weighted Setting for the Numerical Approximation of the Poisson Problem with Singular Sources
- Lp estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains
- Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems
- Pointwise Error Estimates for Finite Element Solutions of the Stokes Problem
This page was built for publication: Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra