A Galerkin method with rational basis functions for Burgers equation

DOI10.1016/0898-1221(90)90240-KzbMath0711.65105OpenAlexW2041108583MaRDI QIDQ922665

Anton van Niekerk, F. D. Van Niekerk

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0898-1221(90)90240-k

zbMATH Keywords

numerical exampleGalerkin finite element methodturbulencedifference schemesshock waverational basis functionimplicit and explicit algorithmstime-dependent Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Turbulence (76F99) Applications to the sciences (65Z05)

Related Items (4)

An optimal rational basis function in the finite element method for convection-diffusion problems in one space variables ⋮ On the least-squares conjugate-gradient solution of the finite element approximation of Burgers' equation ⋮ An explicit finite element method for convection-diffusion equations using rational basis functions ⋮ A Hermite rational approximation method for the Korteweg-de Vries equation

Cites Work

• An explicit finite element method for convection-diffusion equations using rational basis functions
• A Galerkin method using rational basis functions
• Product Approximation for Non-linear Problems in the Finite Element Method
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