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Experimental design for parameter estimation in steadystate linear models of metabolic networks
(Journal article; Peer reviewed, 202001)Metabolic networks are typically large, containing many metabolites and reactions. Dynamical models that aim to simulate such networks will consist of a large number of ordinary differential equations, with many kinetic ... 
Explicit volumepreserving splitting methods for divergencefree ODEs by tensorproduct basis decompositions
(Peer reviewed; Journal article, 20140223)We discuss the construction of volumepreserving splitting methods based on a tensor product of singlevariable basis functions. The vector field is decomposed as the sum of elementary divergencefree vector fields (EDFVFs), ... 
An Exploratory Analysis of MultiClass Uncertainty Approximation in Bayesian Convolutional Neural Networks
(Master thesis, 20181122)Neural networks are an important and powerful family of models, but they have lacked practical ways of estimating predictive uncertainty. Recently, researchers from the Bayesian machine learning community developed a ... 
Extending Whitney's extension theorem: nonlinear function spaces
(Journal article; Peer reviewed, 2021)We consider a global, nonlinear version of the Whitney extension problem for manifoldvalued smooth functions on closed domains , with nonsmooth boundary, in possibly noncompact manifolds. Assuming is a submanifold with ... 
Extreme wave runup on a steep coastal profile
(Journal article; Peer reviewed, 2020)It is shown that very steep coastal profiles can give rise to unexpectedly large wave events at the coast. We combine insight from exact solutions of a simplified mathematical model with photographs from observations at ... 
FAKTORER SOM PÅVIRKER LÆRING AV MATEMATIKK BLANT INNVANDRERE SOM TAR GRUNNSKOLEOPPLÆRING I NORGE
(Master thesis, 20200625) 
A Fast Continuous MaxFlow Approach to NonConvex Multilabeling Problems
(2011)This work addresses a class of multilabeling problems over a spatially continuous image domain, where the data fidelity term can be any bounded function, not necessarily convex. Two total variation based regularization ... 
Fast Image Segmentation Using Variational Optimization Methods With Edge Detector
(Master thesis, 20140602)In this work, we apply techniques in variational optimization to image segmentation. We study three different segmentation models: one is based on the active contour method, the second is based on a piecewise constant level ... 
A fast Level Set Method for Reservoir Simulation
(Department of Applied Mathematics report, Research report, 199905) 
Fast robust optimization using bias correction applied to the mean model
(Peer reviewed; Journal article, 2021)Ensemble methods are remarkably powerful for quantifying geological uncertainty. However, the use of the ensemble of reservoir models for robust optimization (RO) can be computationally demanding. The straightforward ... 
Feasibility of simplified integral equation modeling of lowfrequency marine CSEM with a resistive target
(Peer reviewed; Journal article, 2009)We have assessed the accuracy of a simplified integral equation (SIE) modeling approach for marine controlledsource electromagnetics (CSEM) with low applied frequencies and a resistive target. The most computationally ... 
Fieldcase simulation of CO2plume migration using verticalequilibrium models
(Peer reviewed; Journal article, 2011)When injected in deep saline aquifers, CO2 moves radially away from the injection well and progressively higher in the formation because of buoyancy forces. Analyzes have shown that after the injection period, CO2 will ... 
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics
(Peer reviewed; Journal article, 2020)A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This physical model results in a nonlinear ... 
Finite volume hydromechanical simulation in porous media
(Peer reviewed; Journal article, 20140527)Cellcentered finite volume methods are prevailing in numerical simulation of flow in porous media. However, due to the lack of cellcentered finite volume methods for mechanics, coupled flow and deformation is usually ... 
Finite volume methods for elasticity with weak symmetry
(Peer reviewed; Journal article, 201711)We introduce a new cell‐centered finite volume discretization for elasticity with weakly enforced symmetry of the stress tensor. The method is motivated by the need for robust discretization methods for deformation and ... 
FiniteElement Modelling of BuoyancyDriven Flow in Natural Geothermal Systems
(Master thesis, 20100527)Finite element modelling of buoyancy driven flow in geothermal systems is presented in this thesis. The main focus is on the development of a numerical modelling tool. The program developed is tested for classical benchmarks ... 
A FiniteVolumeBased Module for Unsaturated Poroelasticity
(Chapter, 2021)In this chapter, we present fvunsat, a multipoint finitevolume–based solver for unsaturated flow in deformable and nondeformable porous media. The latter is described using the mixed form of Richards’ equation, whereas ... 
Fish louse and treatment options: A mathematical approach
(Master thesis, 20180904) 
The FixedStress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence
(Journal article; Peer reviewed, 2021)The fixedstress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanics subproblems while adding a stabilizing term to the flow equation, which ... 
Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches
(Peer reviewed; Journal article, 2019)The last decade has seen a strong increase of research into flows in fractured porous media, mainly related to subsurface processes but also in materials science and biological applications, as connected fractures can ...