Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation

DOI10.1016/S0898-1221(99)00185-6zbMath0937.65099MaRDI QIDQ1963089

Beny Neta, Francis X. Giraldo

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityfinite elementsdispersiongroup velocityadvection-diffusion equationamplificationbicubic splinesemi-implicit semi-Lagrangian method

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 hyperbolic equations (35L15)

Related Items (5)

An economical robust algorithm for solving 1D coupled Burgers' equations in a semi-Lagrangian framework ⋮ Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation ⋮ Unnamed Item ⋮ The inverse distance weighted interpolation applied to a particular form of the path tubes method: theory and computation for advection in incompressible flow ⋮ An optimal order estimate for nonlinear hyperbolic conservation laws in two variables

Cites Work

• Stability and phase speed for various finite element formulations of the advection equation
• Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation
• A comparison of integration and interpolation Eulerian‐Lagrangian methods

This page was built for publication: Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation