Exact PDE-derived complete-flux finite-volume schemes achieve optimal high-order accuracy on arbitrary dual meshes for convection-diffusion problems, including quadratic Lagrange and B-spline spaces.
Cai , On the finite volume element method , Numer
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High-order complete flux schemes for convection-diffusion equations on arbitrary subdivisions
Exact PDE-derived complete-flux finite-volume schemes achieve optimal high-order accuracy on arbitrary dual meshes for convection-diffusion problems, including quadratic Lagrange and B-spline spaces.