222 citations · 937 across the 65 of their papers we have counts for
5 papers · 1 filter
The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number
Jan Martin Nordbotten, Endre Joachim Lerheim Mossige
'A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another' [1]. Here, we address…
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…
Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems
Xiaozhe Hu, Eirik Keilegavlen, Jan M. Nordbotten
Discretization of flow in fractured porous media commonly lead to large systems of linear equations that require dedicated solvers. In this work, we develop an efficient linear sol…
A robust solution strategy for the Cahn-Larché equations
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
In this paper we propose a solution strategy for the Cahn-Larché equations, which is a model for linearized elasticity in a medium with two elastic phases that evolve subject to a…
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…