Bubble stabilization of spectral Legendre methods for the advection-diffusion equation

DOI10.1016/0045-7825(94)90002-7zbMath0847.76059OpenAlexW2079857520MaRDI QIDQ1913165

Gabriella Puppo, Claudio Canuto

Publication date: 11 July 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(94)90002-7

zbMATH Keywords

streamline-upwind stabilization termtrial/test functions with local support

Mathematics Subject Classification ID

Related Items

Stabilization of spectral methods by finite element bubble functions, Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations, Variational multiscale stabilization of high-order spectral elements for the advection-diffusion equation, A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin, On the natural stabilization of convection dominated problems using high order Bubnov-Galerkin finite elements, Fast iterative solver for convection-diffusion systems with spectral elements, Stabilized spectral methods for the Navier-Stokes equations: residual-free bubbles and preconditioning

Cites Work

• A stable finite element for the Stokes equations
• An adaptive pseudo-spectral method for reaction diffusion problems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A relationship between stabilized finite element methods and the Galerkin method with bubble functions
• Stabilized finite element methods. I.: Application to the advective- diffusive model
• Polynomial interpolation results in Sobolev spaces
• Bubble-stabilized spectral methods for the incompressible Navier-Stokes equations
• Stabilization of spectral methods by finite element bubble functions
• Effective spectral approximations of convection-diffusion equations
• Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
• Spectral Methods and a Maximum Principle
• Convergence of Spectral Methods for Nonlinear Conservation Laws
• A New Scheme for the Approximation of Advection-Diffusion Equations by Collocation