An hybrid finite volume-finite element method for variable density incompressible flows
Journal of Computational Physics
Remarks on the Consistency of Upwind Source at Interface Schemes on Nonuniform Grids
Journal of Scientific Computing
Error estimate for the upwind finite volume method for the nonlinear scalar conservation law
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
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We propose an elementary proof of strong convergence for a finite volume approximation of nonstationary linear advection on arbitrary grids in two space dimensions. This proof is elementary in the sense that the basic a priori estimate uses only some discrete integrations by parts and the Cauchy--Schwarz inequality. Numerical results show that the estimate is probably nonoptimal.