Browsing Department of Mathematics by Title
Now showing items 1-20 of 1115
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The 11th Society of Petroleum Engineers Comparative Solution Project: Problem Definition
(Journal article; Peer reviewed, 2024)This article contains the description of, and call for participation in, the 11th Society of Petroleum Engineers Comparative Solution Project (the 11th SPE CSP, https://spe.org/csp). It is motivated by the simulation ... -
2-Deoxy-D-glucose couples mitochondrial DNA replication with mitochondrial fitness and promotes the selection of wild-type over mutant mitochondrial DNA
(Journal article; Peer reviewed, 2021)Pathological variants of human mitochondrial DNA (mtDNA) typically co-exist with wild-type molecules, but the factors driving the selection of each are not understood. Because mitochondrial fitness does not favour the ... -
A 3-D numerical model of the influence of meanders on groundwater discharge to a gaining stream in an unconfined sandy aquifer
(Journal article, 2017)Groundwater discharge to streams depends on stream morphology and groundwater flow direction, but are not always well understood. Here a 3-D groundwater flow model is employed to investigate the impact of meandering stream ... -
A 3D computational study of effective medium methods applied to fractured media
(Peer reviewed; Journal article, 2013-10)This work evaluates and improves upon existing effective medium methods for permeability upscaling in fractured media. Specifically, we are concerned with the asymmetric self-consistent, symmetric self-consistent, and ... -
A 3D-1D coupled blood flow and oxygen transport model to generate microvascular networks
(Journal article; Peer reviewed, 2020)In this work, we introduce an algorithmic approach to generate microvascular networks starting from larger vessels that can be reconstructed without noticeable segmentation errors. Contrary to larger vessels, the reconstruction ... -
4D Seismic History Matching Using the Ensemble Kalman Filter (EnKF): Possibilities and Challenges
(Doctoral thesis, 2010-05-27)This research endeavor presents a 4D seismic history matching work flow based on the ensemble Kalman filter (EnKF) methodology. The objective of this work is to investigate the sensitivity of different combinations of ... -
4D seismic history matching: Assessing the use of a dictionary learning based sparse representation method
(Journal article; Peer reviewed, 2020-12)It is possible to improve oil-reservoir simulation models by conditioning them on 4D seismic data. Computational issues may arise related to both storage and CPU time due to the size of the 4D seismic dataset. An approach ... -
A Comparison of the local Gaussian correlation and the local dependence function
(Master thesis, 2022-06-01)Correlation is a method to measure the relation between two or more variables. In this thesis, a method of measuring correlation and a method of measuring dependence are used. These two methods, are the local Gaussian ... -
A delayed SEIR-model of the Covid-19 pandemic
(Master thesis, 2022-06-01) -
A Dimensionality Reducing Extension of Bayesian Relevance Learning
(Master thesis, 2021-02-11)When modeling with big data and high dimensional data, the ability to extract the most important information from the data set and avoid overfitting is crucial. However, by using well developed sparse methods, we can ... -
A numerical study of water exchange in sill fjords and the effect of coastal climate change
(Master thesis, 2019-05-27)The dynamics of basin water exchange in sill fjords are governed by external factors. This thesis addresses how climate change on the coast may affect the water exchange of the basin water. A three-dimensional hydrostatic ... -
A SEIR-model of the Covid-19 Pandemic; Developed, Optimized and Explained.
(Master thesis, 2022-06-01) -
A simulation study of the basin water renewal in the Norwegian thershold fjord Haugsværfjorden
(Master thesis, 2022-06-01) -
A Statistical Study on the Non-linear Properties of Shoaling Ocean Waves
(Master thesis, 2021-03-01) -
An accelerated staggered scheme for variational phase-field models of brittle fracture
(Journal article; Peer reviewed, 2021)There is currently an increasing interest in developing efficient solvers for variational phase-field models of brittle fracture. The governing equations for this problem originate from a constrained minimization of a ... -
Acoustic and Boundary Layer Comparisons Between Navier-Stokes and Svärd's Modified Navier-Stokes Equations
(Master thesis, 2021-12-22) -
Active and integrated management of water resources throughout CO2 capture and sequestration operations
(Peer reviewed; Journal article, 2011)Most projected climate change mitigation strategies will require a significant expansion of CO2 Capture and Sequestration (CCS) in the next two decades. Four major categories of challenges are being actively researched: ... -
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems
(Journal article; Peer reviewed, 2020)In this paper we develop adaptive iterative coupling schemes for the Biot system modeling coupled poromechanics problems. We particularly consider the space–time formulation of the fixed-stress iterative scheme, in which ... -
Adaptive Characteristic Operator Splitting Techniques for Convection-Dominated Diffusion Problems in One and Two Space Dimensions
(Department of Applied Mathematics report;85, Research report, 1988-12) -
Adaptive Multiscale Methods Based on A Posteriori Error Estimates
(Master thesis, 2010-06-01)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 ...