Composite finite volume schemes for the diffusion equation on unstructured meshes
Résumé
We present a finite volume scheme for the anisotropic diffusion equation. The scheme is based on a reformulation of the diffusion equation as an advection equation.
We prove that it is first order consistent and stable under a parabolic CFL condition. We propose a second order
extension with similar properties. We also propose a third order extension. Numerical tests are provided,
confirming the expected properties of the scheme.
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