Study of the mixed finite volume method for Stokes and Navier‐Stokes equations

68 citations recorded by the source corpus.

Citations in the corpus

Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions (2008, unknown): “Thanks to the bound on |un|1,Mn and the regularity of φ, one can see (as in [2] and [5] ((3))) that ∇Mnun → ∇ū weakly in L(2)(Ω) and ∇Mnφ → ∇φ weakly-∗ in L∞(Ω)d as n → ∞ (∇Mnφ being constructed from the values (φ(xK))K∈Tn).”
A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device (2018, unknown): “An initial version of the HMM method, in its Mixed Finite Volume form, was applied to the Navier–Stokes equations in [33], with upwinding of the convective term, albeit using a stabilisation of the diffusion that did not exactly reproduce linear solutions (contrary to sT defined by (31) for k=0).”
A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems (2011, unknown): “In subsection 3.2, we prove an O (h) convergence rate for the numerical approximation of both scalar solution and flux.”