Eulerian–Lagrangian time-stepping methods for convection-dominated problems

DOI10.1080/00207160701210109zbMath1138.65083OpenAlexW1986529656MaRDI QIDQ5459729

Mohammed Seaid, Mofdi El-Amrani

Publication date: 29 April 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701210109

zbMATH Keywords

numerical examplesconvection-diffusion problemssemidiscretizationEulerian-Lagrangian methodsRunge-Kutta schemesconvection-diffusion-reaction equationtime steppingtime marching methods

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (9)

A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids ⋮ A semi-Lagrangian Bernstein-Bézier finite element method for two-dimensional coupled Burgers' equations at high Reynolds numbers ⋮ A spectral stochastic semi-Lagrangian method for convection-diffusion equations with uncertainty ⋮ A Bernstein-Bézier Lagrange-Galerkin method for three-dimensional advection-dominated problems ⋮ A new Runge-Kutta-Chebyshev Galerkin-characteristic finite element method for advection-dispersion problems in anisotropic porous media ⋮ A conservative semi-Lagrangian finite volume method for convection-diffusion problems on unstructured grids ⋮ A conjugate gradient algorithm for solving the Galerkin-characteristic approximation of interfacial flows ⋮ An essentially non-oscillatory semi-Lagrangian method for tidal flow simulations ⋮ Dissipativity ofθ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays

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