Analysis of the upwind finite volume method for general initial- and boundary-value transport problems

DOI10.1093/imanum/drr031zbMath1257.65051OpenAlexW2315768735MaRDI QIDQ4649630

Franck Boyer

Publication date: 12 November 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drr031

zbMATH Keywords

convergencenumerical examplesfinite volume methodserror estimatelinear transport equationinitial-and boundary value problem

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) General spectral theory of ordinary differential operators (34L05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (11)

Convergence order of upwind type schemes for transport equations with discontinuous coefficients ⋮ Convergence Rates for Upwind Schemes with Rough Coefficients ⋮ Error estimates for a finite volume scheme for advection–diffusion equations with rough coefficients ⋮ An asymptotic preserving scheme on staggered grids for the barotropic Euler system in low Mach regimes ⋮ Discretizing advection equations with rough velocity fields on non-Cartesian grids ⋮ Unnamed Item ⋮ Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem ⋮ Computation of free surface waves in coastal waters with SWASH on unstructured grids ⋮ Analysis of the implicit upwind finite volume scheme with rough coefficients ⋮ Convergence of numerical approximations to non-linear continuity equations with rough force fields ⋮ Stabilized Galerkin for transient advection of differential forms

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