Blar i SINTEF Open på forfatter "Nordbotten, Jan Martin"
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Comparison between cell-centered and nodal-based discretization schemes for linear elasticity
Nilsen, Halvor Møll; Nordbotten, Jan Martin; Raynaud, Xavier (Journal article; Peer reviewed, 2017)In this paper, we study newly developed methods for linear elasticity on polyhedral meshes. Our emphasis is on applications of the methods to geological models. Models of subsurface, and in particular sedimentary rocks, ... -
Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates
Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin; Stenseth, Nils Christian (Peer reviewed; Journal article, 2022)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 occur, our aim is to develop the necessary ... -
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian (Peer reviewed; Journal article, 2020)This paper concerns monolithic and splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulated as a three-field system ... -
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations
Varela, Jhabriel; Ahmed, Elyes; Keilegavlen, Eirik; Nordbotten, Jan Martin; Radu, Adrian Florin (Peer reviewed; Journal article, 2022)Mixed-dimensional elliptic equations exhibiting a hierarchical structure are commonly used to model problems with high aspect ratio inclusions, such as flow in fractured porous media. We derive general abstract estimates ...