Max-norm stability of low order Taylor-Hood elements in three dimensions
From MaRDI portal
Publication:898500
DOI10.1007/s10915-014-9978-yzbMath1327.65240OpenAlexW2002471714MaRDI QIDQ898500
Manuel A. Sánchez, Johnny Guzmán
Publication date: 9 December 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-014-9978-y
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?, Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra, Fortin operator for the Taylor-Hood element
Cites Work
- Unnamed Item
- Unnamed Item
- The first boundary value problem for classical equations of mathematical physics in domains with piecewise smooth boundaries. II
- The first boundary value problem for classical equations of mathematical physics in domains with partially smooth boundaries. I
- Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods
- Maximum-norm stability of the finite element Stokes projection
- Theory and practice of finite elements.
- A quasi-local interpolation operator preserving the discrete divergence
- Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra
- Local energy estimates for the finite element method on sharply varying grids
- Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
- Finite Element Methods for Navier-Stokes Equations
- Polynomial Approximation of Functions in Sobolev Spaces
- Interior Estimates for Ritz-Galerkin Methods
- Three-Dimensional Finite Element Methods for the Stokes Problem
- 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
- Hölder Estimates for Green’s Matrix of the Stokes System in Convex Polyhedra
- Pointwise Error Estimates for Finite Element Solutions of the Stokes Problem
- Pointwise estimates for Green's kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone