73 citations · 77 across the 2 of their papers we have counts for
3 papers
math.NA2021★ 4 cited
Artificial compressibility methods for the incompressible Navier-Stokes equations using lowest-order face-based schemes on polytopal meshes
Riccardo Milani, Jérôme Bonelle, Alexandre Ern
We investigate artificial compressibility (AC) techniques for the time discretization of the incompressible Navier-Stokes equations. The space discretization is based on a lowest-o…
math.NA2014
Analysis of Compatible Discrete Operator Schemes for the Stokes Equations on Polyhedral Meshes
Jerome Bonelle, Alexandre Ern
Compatible Discrete Operator schemes preserve basic properties of the continuous model at the discrete level. They combine discrete differential operators that discretize exactly t…
math.NA2012★ 73 cited
Analysis of Compatible Discrete Operator Schemes for Elliptic Problems on Polyhedral Meshes
Jerome Bonelle, Alexandre Ern
Compatible schemes localize degrees of freedom according to the physical nature of the underlying fields and operate a clear distinction between topological laws and closure relati…