Department of Mathematics
Recent Submissions
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Implicit linearization scheme for nonstandard two-phase flow in porous media
(Journal article; Peer reviewed, 2021)In this article, we consider a nonlocal (in time) two‐phase flow model. The nonlocality is introduced through the wettability alteration induced dynamic capillary pressure function. We present a monotone fixed‐point iterative ... -
An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters
(Journal article; Peer reviewed, 2020)This paper concerns the analysis and implementation of a novel iterative staggered scheme for quasi-static brittle fracture propagation models, where the fracture evolution is tracked by a phase field variable. The model ... -
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
(Journal article; Peer reviewed, 2020)This paper concerns monolithic and splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulated as a three-field system ... -
Lie groupoids of mappings taking values in a Lie groupoid
(Journal article; Peer reviewed, 2020)Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of ... -
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 ... -
Multivariate count autoregression
(Journal article; Peer reviewed, 2020)We are studying linear and log-linear models for multivariate count time series data with Poisson marginals. For studying the properties of such processes we develop a novel conceptual framework which is based on copulas. ... -
Moduli of curves on Enriques surfaces
(Journal article; Peer reviewed, 2020)We compute the number of moduli of all irreducible components of the moduli space of smooth curves on Enriques surfaces. In most cases, the moduli maps to the moduli space of Prym curves are generically injective or dominant. ... -
Global sections of twisted normal bundles of K3 surfaces and their hyperplane sections
(Journal article; Peer reviewed, 2020)Let S⊂Pg be a smooth K3 surface of degree 2g−2, g≥3. We classify all the cases for which h0(NS/Pg(−2))≠0 and the cases for which h0(NS/Pg(−2))<h0(NC/Pg−1(−2)) for C⊂Pg−1 a general canonical curve section of S. -
Diurnal gait fluctuations in single- and dual- task conditions
(Journal article; Peer reviewed, 2020)Gait is one of the most basic movements, and walking activity accomplished in dual task conditions realistically represents daily life mobility. Much is known about diurnal variations of gait components such as muscle ... -
A note on Severi varieties of nodal curves on Enriques surfaces
(Journal article; Peer reviewed, 2020)Let |L| be a linear system on a smooth complex Enriques surface S whose general member is a smooth and irreducible curve of genus p, with L2 > 0, and let V|L|,δ(S) be the Severi variety of irreducible δ-nodal curves in ... -
Experimental design for parameter estimation in steady-state linear models of metabolic networks
(Journal article; Peer reviewed, 2020-01)Metabolic networks are typically large, containing many metabolites and reactions. Dynamical models that aim to simulate such networks will consist of a large number of ordinary differential equations, with many kinetic ... -
Brill–Noether general K3 surfaces with the maximal number of elliptic pencils of minimal degree
(Journal article; Peer reviewed, 2020)We explicitly construct Brill–Noether general K3 surfaces of genus 4, 6 and 8 having the maximal number of elliptic pencils of degrees 3, 4 and 5, respectively, and study their moduli spaces and moduli maps to the moduli ... -
Radial processes for sub-Riemannian Brownian motions and applications
(Journal article; Peer reviewed, 2020)We study the radial part of sub-Riemannian Brownian motion in the context of totally geodesic foliations. Itô’s formula is proved for the radial processes associated to Riemannian distances approximating the Riemannian ... -
Numerical modeling of wing crack propagation accounting for fracture contact mechanics
(Journal article; Peer reviewed, 2020)As a consequence of shearing, wing cracks can emerge from pre-existing fractures. The process involves the interaction of sliding of the existing fracture surfaces and the tensile material failure that creates wing cracks. ... -
The dynamics of trait variance in multi-species communities: Multi-species trait variance dynamics
(Journal article; Peer reviewed, 2020)In this paper, we establish the explicit connection between deterministic trait-based population-level models (in the form of partial differential equations) and species-level models (in the form of ordinary differential ... -
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 ... -
Iterative schemes for surfactant transport in porous media
(Journal article; Peer reviewed, 2020)In this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three ... -
Sparse-Data Based 3D Surface Reconstruction for Cartoon and Map
(Conference object, 2018)A model combining the first-order and the second-order variational regularizations for the purpose of 3D surface reconstruction based on 2D sparse data is proposed. The model includes a hybrid fidelity constraint which ... -
Associations between the number of children, age at childbirths and prevalence of chronic low back pain: the Nord-Trøndelag Health Study
(Journal article; Peer reviewed, 2020)Background Associations between childbirths and subsequent risk of low back pain (LBP) have not been clarified. Changes in sex hormone levels or lumbar posture during pregnancy may have an impact on LBP later in life. The ... -
Microfluidic study of effects of flow velocity and nutrient concentration on biofilm accumulation and adhesive strength in the flowing and no-flowing microchannels
(Journal article; Peer reviewed, 2019)Biofilm accumulation in porous media can cause pore plugging and change many of the physical properties of porous media. Engineering bioplugging may have significant applications for many industrial processes, while improved ...
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