293 citations · 640 across the 30 of their papers we have counts for
4 papers · 1 filter
The Hodge-Laplacian on the Čech-de Rham complex governs coupled problems
Wietse Marijn Boon, Daniel Førland Holmen, Jan Martin Nordbotten +1
By endowing the Čech-de Rham complex with a Hilbert space structure, we obtain a Hilbert complex with sufficient properties to allow for well-posed Hodge-Laplace problems. We obser…
Mixed-dimensional poromechanical models of fractured porous media
Wietse M. Boon, Jan M. Nordbotten
We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations for flow in, and deformation of, fracture…
Functional Analysis and Exterior Calculus on Mixed-Dimensional Geometries
Wietse M. Boon, Jan M. Nordbotten, Jon E. Vatne
We are interested in differential forms on mixed-dimensional geometries, in the sense of a domain containing sets of -dimensional manifolds, structured hierarchically so that ea…
Modeling, Structure and Discretization of Mixed-dimensional Partial Differential Equations
J. M. Nordbotten, W. M. Boon
Mixed-dimensional partial differential equations arise in several physical applications, wherein parts of the domain have extreme aspect ratios. In this case, it is often appealing…