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math.AP2019
A Mixed Approach to the Poisson Problem with Line Sources
Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten
In this work we consider the primal mixed variational formulation of the Poisson equation with a line source. The analysis and approximation of this problem is non-standard as the…
math.AP2018
Well-posedness of the fully coupled quasi-static thermo-poro-elastic equations with nonlinear convective transport
Mats K. Brun, Elyes Ahmed, Florin A. Radu +1
This paper is concerned with the analysis of the quasi-static thermo-poroelastic model. This model is nonlinear and includes thermal effects compared to the classical quasi-static…
math.AP2017★ 3 cited
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…