Stability and phase speed for various finite element formulations of the advection equation

DOI10.1016/0045-7930(86)90014-9zbMath0613.76099OpenAlexW1997459334MaRDI QIDQ1819657

R. T. Williams, Beny Neta

Publication date: 1986

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(86)90014-9

zbMATH Keywords

stabilityaccuracytriangular elementsfinite element approximationsleapfrog methodcriss-cross triangle formulationfourth-order finite difference schemeslinearized two- dimensional advection equation

Mathematics Subject Classification ID

Diffusion (76R50) Basic methods in fluid mechanics (76M99)

Related Items (3)

The transfer function analysis of various schemes for the two-dimensional shallow-water equations ⋮ Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation ⋮ Domain decomposition and parallel processing of a finite element model of the shallow water equations

Cites Work

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• Review: Formulating efficient finite-element codes for flows in regular domains
• The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines
• A Survey of Numerical Methods for Parabolic Differential Equations
• A Simple Finite Element Method for Meteorological Problems

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