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Jan Martin Nordbotten

Jan Martin Nordbotten

Sjefsforsker

jnor@norceresearch.no
Nygårdsgaten 112, 5008 Bergen, Norway

Jan Martin Nordbotten

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Publikasjoner
Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates – SIAM Journal on Applied Mathematics 2022
Modeling and discretization of flow in porous media with thin, full-tensor permeability inclusions – International Journal for Numerical Methods in Engineering 2021
Temperature-Dependent Bending Rigidity of AB-Stacked Bilayer Graphene – Physical Review Letters 2021
A nonlinear multi-scale model for blood circulation in a realistic vascular system – Royal Society Open Science 2021
A Cahn-Hilliard-Biot system and its generalized gradient flow structure – Applied Mathematics Letters 2021
A Finite-Volume-Based Module for Unsaturated Poroelasticity – 2021
Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap – SIAM Journal on Applied Mathematics 2021
A Mixed Approach to the Poisson Problem with Line Sources – SIAM Journal on Numerical Analysis 2021
An accelerated staggered scheme for variational phase-field models of brittle fracture – Computer Methods in Applied Mechanics and Engineering 2021
A minimalist model for coevolving supply and drainage networks – Royal Society Open Science 2021
Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models – SIAM Journal on Numerical Analysis 2021
A combined finite element–finite volume framework for phase-field fracture – Computer Methods in Applied Mechanics and Engineering 2021
The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence – Lecture Notes in Computational Science and Engineering 2021
Convergence of a tpfa finite volume scheme for mixed-dimensional flow problems – Springer Proceedings in Mathematics & Statistics 2020
A multipoint stress mixed finite element method for elasticity on simplicial grids – SIAM Journal on Numerical Analysis 2020
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem – Computers and Mathematics with Applications 2020
Stable mixed finite elements for linear elasticity with thin inclusions – Computational Geosciences 2020
A multipoint stress mixed finite element method for elasticity on quadrilateral grids – Numerical Methods for Partial Differential Equations 2020
The dynamics of trait variance in multi-species communities – Royal Society Open Science 2020
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport – Computers and Mathematics with Applications 2020
Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media – 2020
Functional analysis and exterior calculus on mixed-dimensional geometries – Annali di Matematica Pura ed Applicata 2020
Iterative solvers for Biot model under small and large deformations – Computational Geosciences 2020
An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters – Computer Methods in Applied Mechanics and Engineering 2020
Protection of Caprock Integrity for Large-Scale CO2 Storage on the Norwegian Continental Shelf – International Journal of Greenhouse Gas Control 2019
Splitting method for elliptic equations with line sources – Mathematical Modelling and Numerical Analysis 2019
A singularity removal method for coupled 1D–3D flow models – Computational Geosciences 2019
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics – International Journal for Numerical Methods in Engineering 2019
Consistent MPFA Discretization for Flow in the Presence of Gravity – Water Resources Research 2019
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems – Journal of Computational and Applied Mathematics 2019
Anisotropic Poroelastoplastic Constitutive Model of Fractured Rocks – 2019
A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model – PLoS Computational Biology 2019
On the optimization of the fixed‐stress splitting for Biot's equations – International Journal for Numerical Methods in Engineering 2019
Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations – Lecture Notes in Computational Science and Engineering 2019
Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport – Journal of Mathematical Analysis and Applications 2019
Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments – Lecture Notes in Computational Science and Engineering 2019
In vivo detection of chronic kidney disease using tissue deformation fields from dynamic MR imaging. – IEEE Transactions on Biomedical Engineering 2018
Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model – Computer Methods in Applied Mechanics and Engineering 2018
Unified approach to discretization of flow in fractured porous media – Computational Geosciences 2018
Robust discretization of flow in fractured porous media – SIAM Journal on Numerical Analysis 2018
A heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects – Computational Geosciences 2018
Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media – Computers and Mathematics with Applications 2018
Upscaling of the coupling of hydromechanical and thermal processes in a quasi-static poroelastic medium – Transport in Porous Media 2018
Ecological and evolutionary dynamics of interconnectedness and modularity – Proceedings of the National Academy of Sciences of the United States of America 2018
A finite-volume discretization for deformation of fractured media – Computational Geosciences 2018
Robust iterative schemes for non-linear poromechanics – Computational Geosciences 2018
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