3 citations · 9 across the 7 of their papers we have counts for
20 papers
An Adaptive Penalty Method for Inequality Constrained Minimization Problems
Wietse M. Boon, Jan M. Nordbotten
The primal-dual active set method is observed to be the limit of a sequence of penalty formulations. Using this perspective, we propose a penalty method that adaptively becomes the…
A Cahn-Hilliard-Biot system and its generalized gradient flow structure
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
In this work, we propose a new model for flow through deformable porous media, where the solid material has two phases with distinct material properties. The two phases of the poro…
Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media
Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
In this paper, we develop a discretization for the non-linear coupled model of classical Darcy-Forchheimer flow in deformable porous media, an extension of the quasi-static Biot eq…
Modeling the process of speciation using a multi-scale framework including error estimates
Mats K. Brun, Elyes Ahmed, Jan Martin Nordbotten +1
This paper concerns the modeling and numerical simulation of the process of speciation. In particular, given conditions for which one or more speciation events within an ecosystem…
Modelling and discretization of flow in porous media with thin, full-tensor permeability inclusions
Michele Starnoni, Inga Berre, Eirik Keilegavlen +1
When modelling fluid flow in fractured reservoirs, it is common to represent the fracturesas lower-dimensional inclusions embedded in the host medium. Existing discretizationsof fl…
Modeling, well-posedness and discretization for a class of models for mixed-dimensional problems with high dimensional gap
Erlend Hodneland, Xiaozhe Hu, Jan Martin Nordbotten
In this work, we illustrate the underlying mathematical structure of mixed-dimensional models arising from the composition of graphs and continuous domains. Such models are becomin…