Blar i Department of Mathematics på tittel
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Report of the NAMMCO-ICES Workshop on Seal Modelling (WKSEALS 2020)
(Journal article; Peer reviewed, 2021)To support sustainable management of apex predator populations, it is important to estimate population size and understand the drivers of population trends to anticipate the consequences of human decisions. Robust population ... -
Reversible Jump Markov Chain Monte Carlo: Some Theory and Applications
(Master thesis, 2014-03-10)The history of MCMC, theories of Bayesian thinking and model choice, the Accept- Reject-algorithm, Markov chains, the Metropolis- Hastings-algorithm and the reversible jump MCMC are explained. Then the reversible jump MCMC ... -
Rigorous derivation of some asymptotic models for free water surfaces and interfaces
(Doctoral thesis, 2024-04-26)Opprinnelsen til moderne matematisk hydrodynamikk kan spores tilbake til 1700-tallet. I 1757 publiserte Euler artikkelen der han introduserte ligninger, i dag kjent som Euler likningene, som kan beskrive væskedynamikk [31]. ... -
Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations
(Journal article; Peer reviewed, 2024)It is shown that the Boussinesq–Peregrine system, which describes long waves of small amplitude at the surface of an inviscid fluid with variable depth, admits a number of approximate conservation equations. Notably, this ... -
Risk of Leakage versus Depth of Injection in Geological Storage
(Peer reviewed; Journal article, 2009-02)One of the outstanding challenges for large-scale CCS operations is to develop reliable quantitative risk assessments with a focus on leakage of both injected CO2 and displaced brine. A critical leakage pathway is associated ... -
Risk stratification in hypertrophic cardiomyopathy. Insights from genetic analysis and cardiopulmonary exercise testing
(Journal article; Peer reviewed, 2020)The role of genetic testing over the clinical and functional variables, including data from the cardiopulmonary exercise test (CPET), in the hypertrophic cardiomyopathy (HCM) risk stratification remains unclear. A retrospective ... -
Robust Control Volume Methods for Reservoir Simulation on Challenging Grids
(Doctoral thesis, 2010-02-19) -
Robust Discretization of Flow in Fractured Porous Media
(Peer reviewed; Journal article, 2018)Flow in fractured porous media represents a challenge for discretization methods due to the disparate scales and complex geometry. Herein we propose a new discretization, based on the mixed finite element method and mortar ... -
A robust finite element method for Darcy-Stokes flow.
(Department of Applied Mathematics report, Research report, 2001-01) -
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 ... -
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 ...