Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products

DOI10.1137/S0036142999362298zbMath0974.65104OpenAlexW2018417666MaRDI QIDQ4509719

Anita Tabacco, Silvia Bertoluzza, Claudio Canuto

Publication date: 19 October 2000

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142999362298

zbMATH Keywords

waveletsstabilitysingular perturbationconsistencyconvection-diffusion problemsmultiscale decompositionsstabilized Galerkin methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) 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) Numerical methods for wavelets (65T60)

Related Items (11)

Multilevel a posteriori error analysis for reaction-convection-diffusion problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Sobolev gradient preconditioning for image‐processing PDEs ⋮ Enhanced coercivity for pure advection and advection-diffusion problems ⋮ Three-dimensional modeling of heat transport in deep hydrothermal reservoirs ⋮ Stability of a streamline diffusion finite element method for turning point problems ⋮ A polygonal discontinuous Galerkin method with minus one stabilization ⋮ A note on least squares methods ⋮ Substructuring preconditioners for the three fields domain decomposition method ⋮ Multilevel stabilization devices in CFD ⋮ Algebraic representation of dual scalar products and stabilization of saddle point problems

This page was built for publication: Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products