One-step Taylor-Galerkin methods for convection-diffusion problems

DOI10.1016/j.cam.2006.04.031zbMath1113.65094OpenAlexW2010923956MaRDI QIDQ879414

Bernardino Roig

Publication date: 11 May 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.04.031

zbMATH Keywords

algorithmstabilityfinite elementsconvection-diffusion equationnumerical examplestime-stepping schemesTaylor-Galerkin schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15)

Related Items (3)

Learning an optimised stable Taylor-Galerkin convection scheme based on a local spectral model for the numerical error dynamics ⋮ Mean zero artificial diffusion for stable finite element approximation of convection in cellular aggregate formation ⋮ The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes

Cites Work

• Time-accurate solution of advection-diffusion problems by finite elements
• An analysis of time discretization in the finite element solution of hyperbolic problems
• An introduction to finite element methods for transient advection problems
• A Taylor-Galerkin method for convective transport problems
• Shallow water problems: A general explicit formulation
• Three‐step explicit finite element computation of shallow water flows on a massively parallel computer

This page was built for publication: One-step Taylor-Galerkin methods for convection-diffusion problems