An explicit finite element method for convection-diffusion equations using rational basis functions

DOI10.1016/0898-1221(90)90253-GzbMath0701.65066MaRDI QIDQ914342

F. D. Van Niekerk, Anton van Niekerk

Publication date: 1990

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

zbMATH Keywords

stabilityconvergenceGalerkin methodnumerical resultsconsistencyconvection-diffusion equationupwindingexplicit difference schemerational basis functionsdominant convection

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Free convection (76R10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

An optimal rational basis function in the finite element method for convection-diffusion problems in one space variables ⋮ A Galerkin method with rational basis functions for Burgers equation ⋮ An integral equation approach to the unsteady convection-diffusion equations ⋮ A Hermite rational approximation method for the Korteweg-de Vries equation

Cites Work

• A Galerkin method with rational basis functions for Burgers equation
• Numerical methods for time-dependent convection-diffusion equations
• A Galerkin method using rational basis functions
• Upwinding by Petrov-Galerkin methods in convection-diffusion problems
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