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 
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 
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 

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 
Weak solutions and convergent numerical schemes of BrennerNavierStokes equations
(20150120)Lately, there has been some interest in modifications of the compressible NavierStokes equations to include diffusion of mass. In this paper, we investigate possible ways to add mass diffusion to the 1D NavierStokes ...Research report 
The Whitham Equation as a model for surface water waves
(Elsevier, 201508)The Whitham equation was proposed as an alternate model equation for the simplified description of unidirectional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear ...Journal article