Browsing Department of Mathematics by Title
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Testmetoder for identifisering av publikasjonsbias i metaanalyser
(The University of Bergen, 20121024)Testmetoder for identifisering av publikasjonsbias i metaanalyser.Master thesis 
Thickness and weak integrability & approximation and uideals
(The University of Bergen, 20070615)Doctoral thesis 
Total Variation Regularization of MatrixValued Images
(Hindawi Publishing Corporation, 2007)We generalize the total variation restoration model, introduced by Rudin, Osher, and Fatemi in 1992, to matrixvalued data, in particular, to diffusion tensor images (DTIs). Our model is a natural extension of the color ...Peer reviewedJournal article 
Trigonometric interpolation on lattice grids
(Springer, 2015)In this paper we construct nonaliasing interpolation spaces and Lagrange functions for lattice grids. We argue that lattice grids are good for trigonometric interpolation and support this claim by numerical experiments. ...Journal article 
Two Level Additive Schwarz Preconditioner For Control Volume Finite Element Methods
(The University of Bergen, 20100922)In this thesis we investigate nummerically the convergence properties of the control volume finite element method (CVFEM) preconditioned with a two level overlapping additive Schwarz method. Relevant theory regarding the ...Master thesis 
Two phase flow including interfacial area as a variable
(The XIII international conference on computational methods in water resources, 2000)Based on the procedure of (Gray & Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a ...Journal article 
Twophase flow in porous media: dynamic capillarity and heterogeneous media
(Springer, 20150811)We investigate a twophase porous media flow model, in which dynamic effects are taken into account in phase pressure difference. We consider a onedimensional heterogeneous case, with two adjacent homogeneous blocks ...Journal article 
Twoscale preconditioning for twophase nonlinear flows in porous media
(Springer, 2015)Solving realistic problems related to flow in porous media to desired accuracy may be prohibitively expensive with available computing resources. Multiscale effects and nonlinearities in the governing equations are among ...Journal article 
A unified multilevel framework of upscaling and domain decomposition
(International Center for Numerical Methods in Engineering (CIMNE), 2010)We consider multiscale preconditioners for a class of massconservative domaindecomposition (MCDD) methods. For the application of reservoir simulation, we need to solve large linear systems, arising from finitevolume ...Conference object 
Upscaled modeling of CO2 injection and migration with coupled thermal processes
(Elsevier, 2013)A practical modeling approach for CO2 storage over relatively large length and time scales is the verticalequilibrium model, which solves partially integrated conservation equations for flow in two lateral dimensions. ...Journal article 
Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity
(Society for Industrial and Applied Mathematics, 2016)Motivated by rockfluid interactions occurring in a geothermal reservoir, we present a twodimensional pore scale model of a thin strip consisting of void space and grains, with fluid flow through the void space. Ions in ...Journal article 

Value of different data types for estimation of permeability
(The University of Bergen, 20110601)The interrelation between sensitivity, nonlinearity and scale, associated with the inverse problem of identifying permeability from measurements of fluid flow, is considered. The gouverning equations for fluid flow in a ...Master thesis 
Vascular responses to radiotherapy and androgendeprivation therapy in experimental prostate cancer
(BioMed Central, 20120523)Background: Radiotherapy (RT) and androgendeprivation therapy (ADT) are standard treatments for advanced prostate cancer (PC). Tumor vascularization is recognized as an important physiological feature likely to impact on ...Peer reviewedJournal article 
Verifisering av ein tredimensjonal bølgemodell ved hjelp av eksperimentelle data
(The University of Bergen, 2001)Master thesis 
Vertically averaged equations with variable density for CO2 flow in porous media
(Springer, 201503)Carbon capture and storage has been proposed as a viable option to reduce CO 2 emissions. Geological storage of CO 2 where the gas is injected into geological formations for practically indefinite storage, is an ...Journal article 
Vertically Averaged Models for CO2 Storage in Porous Media
(The University of Bergen, 2008)Master thesis 
Volume preserving numerical integrators for ordinary differential equations
(The University of Bergen, 20131108)Doctoral thesis 
Wave breaking in long wave models and undular bores
(The University of Bergen, 20151218)Bores are a well known phenomena in fluid mechanics, although their occurrence in nature is relatively rare. The circumstances in which they occur is usually when a tidal swell causes a difference in surface elevation ...Master thesis