Blar i Department of Mathematics på tittel
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A robust implicit scheme for two-phase flow in porous media
(Master thesis, 2015-11-26)In this thesis we present a new implicit scheme for the numerical simulation of two-phase flow in porous media. Linear finite elements are considered for the spatial discretization. The scheme is based on the iterative ... -
Robust iterative schemes for non-linear poromechanics
(Peer reviewed; Journal article, 2018)We consider a non-linear extension of Biot’s model for poromechanics, wherein both the fluid flow and mechanical deformation are allowed to be non-linear. Specifically, we study the case when the volumetric stress and the ... -
Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models
(Journal article; Peer reviewed, 2021)In this work, we consider compressible single-phase flow problems in a porous medium containing a fracture. In the fracture, a nonlinear pressure-velocity relation is prescribed. Using a non-overlapping domain decomposition ... -
A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media
(Peer reviewed; Journal article, 2015-12)In this work we consider a mathematical model for two-phase flow in porous media. The fluids are assumed immiscible and incompressible and the solid matrix non-deformable. The mathematical model for the two-phase flow is ... -
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form
(Journal article; Peer reviewed, 2022)We construct mesh-independent and parameter-robust monolithic solvers for the coupled primal Stokes--Darcy problem. Three different formulations and their discretizations in terms of conforming and nonconforming finite ... -
Robust Multiscale Control-volume Methods for Reservoir Simulation
(Doctoral thesis, 2012-04-30) -
A robust Nonconforming H²-Element
(Department of Applied Mathematics report, Research report, 1999-03) -
Robust nonlinear regression estimation in null recurrent time series
(Journal article; Peer reviewed, 2021)In this article, we study parametric robust estimation in nonlinear regression models with regressors generated by a class of non-stationary and null recurrent Markov processes. The nonlinear regression functions can be ... -
Robust Optimization for Sequential Field Development Planning
(Doctoral thesis, 2021-09-24)To achieve high profitability from an oil field, optimizing the field development strategy (e.g., well type, well placement, drilling schedule) before committing to a decision is critically important. The profitability at ... -
Robust simulation of sharp-interface models for fast estimation of CO2 trapping capacity in large-scale aquifer systems
(Peer reviewed; Journal article, 2016-02)Modeling geological carbon storage represents a new and substantial challenge for the subsurface geosciences. To increase understanding and make good engineering decisions, containment processes and large-scale storage ... -
A robust solution strategy for the Cahn-Larché equations
(Journal article; Peer reviewed, 2023)In this paper we propose a solution strategy for the Cahn-Larché equations, which is a model for linearized elasticity in a medium with two elastic phases that evolve subject to a Ginzburg-Landau type energy functional. ... -
Robust solvers for fully coupled transport and flow in saturated/unsaturated porous media
(Doctoral thesis, 2021-03-29)Numerical simulations and laboratory studies are our main tools to comprehend better processes happening in the subsurface. The phenomena are modeled thanks to systems of partial differential equations (PDEs), which are ... -
Robusthet ved skadereservering - Chain-Ladder og influens funksjoner
(Master thesis, 2011-06-01)I denne oppgaven har jeg sett på hvordan uteliggere kan påvirke IBNR reserven i skadereservering. Jeg har studert influens funksjoner for den klassiske Chain-Ladder metoden, og videre sett at uteliggere kan påvirke ... -
The Role of Wettability Alteration in Subsurface CO2 Storage: Modeling and Numerical Analysis
(Doctoral thesis, 2021-12-06)This dissertation is aimed to provide mathematical frameworks to assess the large-scale deployment of CO2 in a subsurface formation, where the formation wettability is assumed to be altering through exposure time to the ... -
Rolling Stiefel Manifolds Equipped with α-Metrics
(Journal article; Peer reviewed, 2023)We discuss the rolling, without slipping and without twisting, of Stiefel manifolds equipped with 𝛼-metrics, from an intrinsic and an extrinsic point of view. We, however, start with a more general perspective, namely, ... -
Rotational effects on exchange flows across a submerged sill
(Journal article; Peer reviewed, 2021)This paper presents new laboratory-scale numerical simulations of density-driven exchange flows generated across an idealised, submerged sill obstruction under both non-rotating and rotating frames of reference using the ... -
Ruin probability and optimal dividend policy for models with investment
(Doctoral thesis, 2012-11-06)In most countries the authorities impose capital requirements on insurance companies in order to avoid the adverse consequences to society when insurance companies default on claims. Since holding capital is costly, this ... -
S100A4 mRNA-protein relationship uncovered by measurement noise reduction
(Journal article; Peer reviewed, 2020)Intrinsic biological fluctuation and/or measurement error can obscure the association of gene expression patterns between RNA and protein levels. Appropriate normalization of reverse-transcription quantitative PCR (RT-qPCR) ... -
Sammenhenger mellom koder, matroider, grafer og simplisielle komplekser
(Master thesis, 2008)Denne masteroppgaven handler hovedsakelig om å studere sammenhenger mellom ulike em- ner innen algebra og kombinatorikk. De matematiske konseptene som studeres, er lineære koder, matroider, grafer og simplisielle komplekser, ... -
Sampling error distribution for the ensemble Kalman filter update step
(Peer reviewed; Journal article, 2012)In recent years, data assimilation techniques have been applied to an increasingly wider specter of problems. Monte Carlo variants of the Kalman filter, in particular, the ensemble Kalman filter (EnKF), have gained significant ...