222 citations · 937 across the 65 of their papers we have counts for
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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…
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
Juan Michael Sargado, Eirik Keilegavlen, Inga Berre +1
Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating cra…
Heterogeneity Preserving Upscaling for Heat Transport in Fractured Geothermal Reservoirs
Anna Nissen, Eirik Keilegavlen, Tor Harald Sandve +2
In simulation of fluid injection in fractured geothermal reservoirs, the characteristics of the physical processes are severely affected by the local occurence of connected fractur…
Robust iterative schemes for non-linear poromechanics
Manuel Borregales, Florin A. Radu, Kundan Kumar +1
We consider a non-linear extension of Biot's model for poromechanics, wherein both the fluid flow and mechanical deformation are allowed to be non-linear. We perform an implicit di…