Browsing Department of Mathematics by Subject "753109"
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Adaptive Multiscale Methods Based on A Posteriori Error Estimates
(Master thesis, 20100601)We give an overview of different methods for solving highly heterogeneous elliptic problems with multiscale structure and no intuitive scale separation. We compare different finite element variational multiscale methods ... 
Adaptive parameterization of electric conductivity in inversion of electromagnetic data
(Master thesis, 20120601)We describe a methodology developed for 3D parameter identification, with focus on largescale applications such as monitoring subsea oil production and geothermal systems. The methodology is designed to handle challenges ... 
Advection Upscaling for Heat Transport in Fractured Geothermal Reservoir
(Master thesis, 20180620)The main objective in this thesis is to give numerical solution for advection term of heat transport equation in fractured geothermal reservoir. To get better insight in the fracture influence on the processes we will ... 
Algebravansker. Hva er årsaken til at elevene syns algebra er vanskelig? Er det hull i grunnleggende kunnskap og/eller misoppfatninger hos elever på videregående skole som gjør at algebra er vanskelig for dem?
(Master thesis, 2017)I denne oppgaven kommer det fram hva årsaken og problemer elever på videregående kan ha i algebra som gjør at de syns algebra er vanskelig, og gjør det dårlig i dette emnet. Resultatene fra TIMSS Advanced i 2015 viser at ... 
Analysis of nonlinear shallow water equations discretized on Arakawa Cgrids
(Master thesis, 20160601)To model the behaviour of flow and waves in three dimensions, one may use the NavierStokes equations. These equations leads to the shallow water equations, when the depth is much smaller than the wavelength. The shallow ... 
Boundaryvalue problems and shoaling analysis for the BBM equation
(Master thesis, 20120220)In this thesis we study the BBM equation u_t+u_x+ \frac{3}{2}uu_x  \frac{1}{6} u_{xxt}= 0 which describes approximately the twodimensional propagation of surface waves in a uniform horizontal channel containing an ... 
Comparison of distance measures in Multimodal registration of medical images
(Master thesis, 20110614)In this thesis I have worked with medical image registration, in particular registration of multimodal images. I have tested the image registration software package FAIR developed by Jan Modersitzki, with particular focus ... 
Comparison of Iterative Solvers for NonSymmetric Linear Systems in Porous Media Problems
(Master thesis, 20140902)We investigate the performance of the IDR(s)algorithms when solving nonsymmetric systems in porous media problems. We derive a mathematical model for the flow in porous media, and discretized this with the method known ... 
A Comparison of Two Numerical Models for Flow in Fractured Porous Media and the Impact of Fracture Intersection Cell Removal
(Master thesis, 20161121)The simulation of flow and transport in fractured porous media is crucial to improve understanding and viability of geothermal energy. It is also challenging, due to complex geometries and large scale differences. In this ... 
Continuous MaxFlow for Image Segmentation with Shape Priors
(Master thesis, 20140602)In this thesis we propose a stable method for image segmentation with shape priors. The original ChanVese intensity based segmentation model with regularisation term is extended to include shape prior information. We study ... 
A Dense Gas Model of Combined Transports and Distributions of Solutes in the Interstitium including Steric and Electrostatic Exclusion Effects, and Comparison with Experimental Data
(Master thesis, 20100527)Mathematical modeling of physiological fluid systems is regarded as an important tool for further understanding of circulatory properties. The interstitium is a fluid filled space outside the cells in the body, and all ... 
Design of a monitoring program in a varying marine environment
(Master thesis, 20150914)In this thesis we develop methods for optimal design of a monitoring program for offshore geological CO2 storage. The goal is to find the layout of fixed chemical sensors at the seafloor that maximizes the probability of ... 
Different aspects of the hodograph transform and Riemann invariants for the shallow water equations
(Master thesis, 20181215)The aim of this work is to visualize irrotational long wave on a sloping beach by following the approach of Carrier and Greenspan [5]. We first derive the nonlinear shallowwater equations for sloping beach and then find ... 
A discussion on turbulent and undular bores using the models from the shallow water equations and the dispersive system.
(Master thesis, 20100526)The bore is a wave phenomenon that occurs in channels and rivers of shallow water. Referred to as a discharge wave, a bore is generated by a sudden increase of water flow. Bores appear in certain rivers as the tide pushes ... 
Dynamic Capillary Effects in the Simulation of Flow and Transport in Porous Media: A New Linearisation Method
(Master thesis, 20141225)In this thesis mathematical models with and without dynamic capillary effects are developed to model water flow and solute transport through a porous medium. The system of equations are discretised using the finite volume ... 
Effect of Erroneous Representation of Location and Orientation of EM Receivers for Monitoring of Submarine Petroleum Reservoirs
(Master thesis, 20090602)The receivers in electromagnetic monitoring should optimally be placed exactly in the same location during every single acquisition. However, for technological and economical reasons, the receivers are currently brought ... 
Effects of thermallydependent rock parameters on fracture reactivation
(Master thesis, 20190709)The slip tendency is an important tool to measure fracture reactivation in thecontext of subsurface engineering applications. In this thesis, the effects of thermallydependent rock parameters such as Young’s modulus on ... 
Elevers begrepsforståelse i modelleringskonteksten  En kvalitativ studie av tre elevers begrepsforståelse i arbeidet med autentiske modelleringsoppgaver
(Master thesis, 20170726)Målet med studien var å få bedre forståelse for hvordan elevers arbeid med en autentisk modelleringsoppgave kunne påvirke begrepsforståelsen. Jeg har i denne studien valgt å fokusere på begrepet den andrederiverte. I studien ... 
Energieffektivitet i grunne geotermiske systemer. Modellering og analyse av systemet på Ljan skole.
(Master thesis, 20130617)Grunnvarme er en stadig viktigere og mer anvendt energikilde i en verden med et økende energibehov, og det er i den forbindelse viktig å utforme systemer som kan utnytte energien på en effektiv måte. Denne oppgaven tar for ... 
Exact and Superconvergent Solutions of the MultiPoint Flux Approximation Omethod: Analysis and Numerical Tests
(Master thesis, 20140602)In this thesis we prove the multipoint flux approximation Omethod (MPFA) to yield exact potential and flux for the trigonometric potential functions u(x,y)=sin(x)sin(y) and u(x,y)=cos(x)cos(y). This is done on uniform ...