126 citations · 207 across the 9 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
math.NA2016
Discretization of mixed formulations of elliptic problems on polyhedral meshes
Konstantin Lipnikov, Gianmarco Manzini
We review basic design principles underpinning the construction of mimetic finite difference and a few finite volume and finite element schemes for mixed formulations of elliptic p…
math.NA2016★ 22 cited
The mimetic finite difference method for the Landau-Lifshitz equation
Eugenia Kim, Konstantin Lipnikov
The Landau-Lifshitz equation describes the dynamics of the magnetization inside ferromagnetic materials. This equation is highly nonlinear and has a non-convex constraint (the magn…