Blar i Department of Mathematics på tittel
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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) 
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 ... 
Fish louse and treatment options: A mathematical approach
(Master thesis, 20180904) 
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 ... 
The Flow of Quasiconformal Mappings on S³ with Contact structure and a Family of Surfaces on the Heisenberg Group
(Master thesis, 20110531) 
Flow Properties of Fully Nonlinear Model Equations for Surface Waves
(Doctoral thesis, 20171103)The focus of this thesis is wave motion in shallow water. In particular, we investigate some properties of flows underneath long waves in shallow water and present the results in two parts. The first part contains a ... 
Forståelse av matematiske tekstoppgaver. Hva bør man som lærer ha tenkt gjennom når man ønsker at elevene skal jobbe med tekstoppgaver i matematikk?
(Master thesis, 20180621)Denne studien tar for seg matematiske tekstoppgavers oppbygning og ser på ulike typer utfordringer elever kommer over i møte med tekstoppgaver. Utfordringene handler i stor grad om det å oversette teksten i tekstoppgaver ... 
Fourier analysis on abelian groups; theory and applications
(Master thesis, 2017)Fourier analysis expresses a function as a weighted sum of complex exponentials. The Fourier machinery can be applied when a function is defined on a locally compact abelian group (LCA). The groups R, T = R / Z, Z and Z_n ... 
Fractal structures in freezing brine
(Peer reviewed; Journal article, 201709)The process of initial ice formation in brine is a highly complex problem. In this paper, we propose a mathematical model that captures the dynamics of nucleation and development of ice inclusions in brine. The primary ... 
Fresh Water driven primary Production in a Fjord
(Department of Applied Mathematics report, Research report, 199703) 
A Front Tracking Approach to a TwoPhase fluid Flow Model with Capillary Forces
(Department of Applied Mathematics report, Research report, 199704) 
Fully dispersive water wave equations
(Doctoral thesis, 20200221)The PhD project concerns the surface water wave theory. Liquid is presented as a three or two dimensional layer bounded from below by a rigid horizontal bottom. Above it can have either a free surface or an elastic layer ... 
Fullyimplicit simulation of verticalequilibrium models with hysteresis and capillary fringe
(Peer reviewed; Journal article, 201602)Geological carbon storage represents a new and substantial challenge for the subsurface geosciences. To increase understanding and make good engineering decisions, containment processes and largescale storage operations ...