Abstract
We introduce a nonlinear DDFV scheme for a convection-diffusion equation. The scheme conserves the mass, satisfies an energy-dissipation inequality and provides positive approximate solutions even on very general grids. Numerical experiments illustrate these properties.
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APA
Cancès, C., Chainais-Hillairet, C., & Krell, S. (2017). A nonlinear discrete duality finite volume scheme for convection-diffusion equations. In Springer Proceedings in Mathematics and Statistics (Vol. 199, pp. 439–447). Springer New York LLC. https://doi.org/10.1007/978-3-319-57397-7_37
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