Stabilized wavelet approximations of the Stokes problem

DOI10.1090/S0025-5718-00-01263-1zbMath0998.76066OpenAlexW2068340809MaRDI QIDQ2723520

Roland Masson, Claudio Canuto

Publication date: 5 July 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01263-1

zbMATH Keywords

Stokes probleminf-sup conditionwavelet basespseudo-differential operatorbiorthogonal spline waveletswavelet expansionresidual-based stabilizationadaptive discretization strategyapproximate pressure

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for wavelets (65T60) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (4)

Homogeneous Dirichlet wavelets on the interval diagonalizing the derivative operator, and application to free-slip divergence-free wavelets ⋮ No-slip and free-slip divergence-free wavelets for the simulation of incompressible viscous flows ⋮ Multilevel stabilization devices in CFD ⋮ Divergence-Free Wavelet Projection Method for Incompressible Viscous Flow on the Square

Cites Work

• Unnamed Item
• A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
• Multilevel preconditioning
• Nonorthogonal multiresolution analyses, commutation between projectors and differentiation and divergence-free vector wavelets
• Biorthogonal spline wavelets on the interval -- stability and moment conditions
• Wavelets on the interval and fast wavelet transforms
• \(b=\int g\)
• Nonlinear computation
• Stability of multiscale transformations
• Wavelet adaptive method for second order elliptic problems: Boundary conditions and domain decomposition
• Negative norm stabilization of convection-diffusion problems
• Stabilization by multiscale decomposition
• On divergence-free wavelets
• Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
• A wavelet Galerkin method for the Stokes equations
• Least-squares methods for Stokes equations based on a discrete minus one inner product
• Mixed and Hybrid Finite Element Methods
• Wavelet Methods for Fast Resolution of Elliptic Problems
• Biorthogonal bases of compactly supported wavelets
• Composite wavelet bases for operator equations
• Using the Refinement Equation for Evaluating Integrals of Wavelets
• WAVELETS ON THE INTERVAL WITH OPTIMAL LOCALIZATION
• BIORTHOGONAL SPLINE WAVELETS ON THE INTERVAL FOR THE RESOLUTION OF BOUNDARY PROBLEMS
• Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity

This page was built for publication: Stabilized wavelet approximations of the Stokes problem