Pierre Cantin

  • Citations Per Year
Learn More
We devise and analyze vertex-based, Péclet-robust, lowest-order schemes for advection-diffusion equations that support polyhedral meshes. The schemes are formulated using Compatible Discrete Operators (CDO), namely primal and dual discrete differential operators, a discrete contraction operator for advection, and a discrete Hodge operator for diffusion.(More)
We devise and analyze vertex-based schemes on polyhedral meshes to approximate advection-reaction equations. Error estimates of order O(h) are established in the discrete inf-sup stability norm which includes the mesh-dependent weighted advective derivative. The two key ingredients are a local polyhedral reconstruction map leaving affine polynomials(More)
  • 1