The discrete commutator property of approximation spaces

DOI10.1016/S0764-4442(00)88481-5zbMath0940.65053OpenAlexW2021918186MaRDI QIDQ4937482

Silvia Bertoluzza

Publication date: 10 April 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)88481-5

zbMATH Keywords

finite elementswaveletapproximation spacesprojector operatordiscrete commutator property

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Geometry and structure of normed linear spaces (46B20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

A stabilized finite element method for inverse problems subject to the convection-diffusion equation. II: Convection-dominated regime, Local error analysis for the Stokes equations with a punctual source term, ANALYSIS OF THE SPACE SEMI-DISCRETIZED SUPG METHOD FOR TRANSIENT CONVECTION–DIFFUSION EQUATIONS, Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable, Local boundary estimates for the Lagrange multiplier discretization of a Dirichlet boundary value problem with application to domain decomposition, Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence, The \(q\)-derivate and applications to \(q\)-Sz'asz Mirakyan operators, Local error estimates of the finite element method for an elliptic problem with a Dirac source term, Convergence to suitable weak solutions for a finite element approximation of the Navier-Stokes equations with numerical subgrid scale modeling, From suitable weak solutions to entropy viscosity, On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows, On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws, Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media, Analysis of the fully discrete fat boundary method, Finite-element-based Faedo-Galerkin weak solutions to the Navier--Stokes equations in the three-dimensional torus are suitable, On the Convergence of a Shock Capturing Discontinuous Galerkin Method for Nonlinear Hyperbolic Systems of Conservation Laws, From a cell model with active motion to a Hele-Shaw-like system: a numerical approach, Weighted error estimates for transient transport problems discretized using continuous finite elements with interior penalty stabilization on the gradient jumps, Finite-element-based Faedo-Galerkin weak solution to the Navier-Stokes equation in the three-dimensional torus are suitable, Analysis of Radial Complex Scaling Methods: Scalar Resonance Problems