Recent additions

  • Generalized Chessboard Structures Whose Effective Conductivities Are Integer Valued 

    Lukkassen, Dag; Meidell, Annette (Journal article; Tidsskriftartikkel; Peer reviewed, 2012-03-06)
    We consider generalized chessboard structures where the local conductivity takes two values 𝑎 and 𝑏 . All integer combinations of 𝑎 and 𝑏 which make the components of effective conductivity matrix integer valued are found. Moreover, we discuss the problem of estimating the effective conductivity matrix by using the finite-element method.
  • Some New Iterated Hardy-Type Inequalities 

    Gogatishvili, A; Mustafayev, RC; Persson, Lars Erik (Journal article; Tidsskriftartikkel; Peer reviewed, 2012-12-10)
  • Blending spline surfaces over polygon mesh and their application to isogeometric analysis 

    Kravetc, Tatiana (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-09-11)
    Finite elements are allowed to be of a shape suitable for the specific problem. This choice defines thereafter the accuracy of the approximated solution. Moreover, flexible element shapes allow for the construction of an arbitrary domain topology. Polygon meshes are a common representation of the domain that cover any choice of the finite element shape. Being an alternative tool for modeling and ...
  • Some New Weak (Hp- Lp)-Type Inequality for Weighted Maximal Operators of Partial Sums of Walsh–Fourier Series 

    Baramidze, David; Persson, Lars-Erik; Singh, Harpal; Tephnadze, George (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-08-18)
    In this paper, we introduce some new weighted maximal operators of the partial sums of the Walsh–Fourier series. We prove that for some “optimal” weights these new operators indeed are bounded from the martingale Hardy space H<sub>p</sub>(G) to the Lebesgue space weak−L<sub>p</sub>(G), for 0<p<1. Moreover, we also prove sharpness of this result. As a consequence we obtain some new and well-known ...
  • Market Study on Inspection and Maintenance Robotics in Norway - Suppliers, Market Needs and Challenges 

    Merz, Mariann; Transeth, Aksel Andreas; Evjemo, Linn Danielsen; Kelasidi, Eleni (Research report; Forskningsrapport, 2023-09-01)
    New and more complex industrial applications of robotic systems for inspection and maintenance (I&M) purposes are enabled by the continuous improvements to the system capabilities. Key factors that fuel this development are advancements in Artificial Intelligence (AI), improvements of sensor technology, miniaturization and cost reduction of components (including motors, batteries, processors and ...
  • E-Mobility and Batteries—A Business Case for Flexibility in the Arctic Region 

    Bremdal, Bernt Arild; Ilieva, Iliana; Tangrand, Kristoffer Meyer; Dadman, Shayan (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-02-28)
    This paper provides a method for determining the economic incentives and limitations for a battery used for peak clipping, with the goal of finding an optimal mix between the battery’s power density and energy density. A ratio called the R-factor has been introduced, which helps determine the energy demand to curb the peak. The paper’s results embrace different investment scenarios showing what ...
  • On the Heat and Wave Equations with the Sturm-Liouville Operator in Quantum Calculus 

    Shaimardan, Serikbol; Persson, Lars-Erik; Tokmagambetov, Nariman (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-01-19)
    In this paper, we explore a generalised solution of the Cauchy problems for the q-heat and q-wave equations which are generated by Jackson’s and the q-Sturm-Liouville operators with respect to t and x, respectively. For this, we use a new method, where a crucial tool is used to represent functions in the Fourier series expansions in a Hilbert space on quantum calculus. We show that these solutions ...
  • Descending commuter 

    Myrberg, Daniel; Salomonsen, Sebastian E. (Master thesis; Mastergradsoppgave, 2018-08-16)
    The task is to produce a suitable option for those who go mountain hiking and want the thrill to ride down the hills. The product should be lightweight and foldable, and easy to bring along for a bus ride or other types of public transportation. The final product is a downhill scooter, where the neck is foldable. The deck of the scooter is a sandwich structure where the core is made of aluminum 5052 ...
  • (Hp− Lp -Type inequalities for subsequences of Nörlund means of Walsh–Fourier series 

    Baramidze, David; Persson, Lars-Erik; Tangrand, Kristoffer Meyer; Tephnadze, George (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-04-07)
  • Some new refinements of the Young, Hölder, and Minkowski inequalities 

    Nikolova, Ludmila; Persson, Lars-Erik; Varošanec, Sanja (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-02-21)
    We prove and discuss some new refined Hölder inequalities for any p>1 and also a reversed version for 0<p<1. The key is to use the concepts of superquadraticity, strong convexity, and to first prove the corresponding refinements of the Young and reversed Young inequalities. Refinements of the Minkowski and reversed Minkowski inequalities are also given.
  • Some weak type inequalities and almost everywhere convergence of Vilenkin–Nörlund means 

    Baramidze, Davit; Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-05-04)
    We prove and discuss some new weak type (1, 1) inequalities of maximal operators of Vilenkin–Nörlund means generated by monotone coefficients. Moreover, we use these results to prove a.e. convergence of such Vilenkin–Nörlund means. As applications, both some well-known and new inequalities are pointed out.
  • Analytical Approach to Describe Properties in Transition Zones Between Ballasted and Non-Ballasted Track 

    Ågotnes, Joachim Jørgensen (Master thesis; Mastergradsoppgave, 2022-05-30)
    Norway has for a long time used railways as a means of transport. This method of transportation been used to haul raw materials such as wood and ore. Trains have today become competitors to cars and other means of transportation as a way to commute. However, the tracks used when hauling heavy loads are still being used regardless if the train's goods are commuters or raw materials. Heavy freight ...
  • Applications of Additive Manufacturing for Norwegian Oil and Gas Industries 

    Hussnain, Farhan (Master thesis; Mastergradsoppgave, 2022-05-16)
    The additive manufacturing or 3D printing (3DP) technologies have undergone exponential expansion, particularly in the previous couple of decades. Additive manufacturing technologies have paved the way for easy component manufacturing in large-scale and high-performance businesses. The introduction of desktop 3D printers has established 3DP as a reliable technique for generating prototypes and direct ...
  • On operator estimates in homogenization of nonlocal operators of convolution type 

    Piatnitski, Andrei; Sloushch, Vladimir; Suslina, Tatiana; Zhizhina, Elena (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-01-11)
  • Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane 

    Braides, Andrea; Piatnitski, Andrei (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-01-06)
    We prove that by scaling nearest-neighbour ferromagnetic energies de ned on Poisson random sets in the plane we obtain an isotropic perimeter energy with a surface tension characterised by an asymptotic formula. The result relies on proving that cells with `very long' or `very short' edges of the corresponding Voronoi tessellation can be neglected. In this way we may apply Geometry Measure ...
  • Vilenkin–Lebesgue Points and Almost Everywhere Convergence for Some Classical Summability Methods 

    Nadirashvili, Nato; Persson, Lars-Erik; Tephnadze, George; Weisz, Ferenc (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-09-17)
    The concept of Vilenkin–Lebesgue points was introduced in [12], where the almost everywhere convergence of Fejer means of Vilenkin–Fourier series was proved. In this paper, we present a different (and simpler) approach to prove a similar result, which can be used to prove that the corresponding result holds also in a more general context, namely for regular Norlund and T-means.
  • Large deviations for Markov jump processes in periodic and locally periodic environments 

    Piatnitski, Andrei; Pirogov, Sergei; Zhizhina, Elena (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-12)
    The paper deals with a family of jump Markov process defined in a medium with a periodic or locally periodic microstructure. We assume that the generator of the process is a zero order convolution type operator with rapidly oscillating locally periodic coefficient and, under natural ellipticity and localization conditions, show that the family satisfies the large deviation principle in the path space ...
  • Discretization and Representation of a Complex Environment for On-Policy Reinforcement Learning for Obstacle Avoidance for Simulated Autonomous Mobile Agents 

    Jansson, Andreas Dyrøy (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-07-12)
    In recent years, the demand for digitalization, automation, and smart systems in the airline industry has accelerated. Furthermore, due to the ongoing global pandemic as of 2022, airlines are faced with the challenge of offering flexibility in both cargo and passenger capacity. Studies show that the use of smart products and autonomous agents are expected to play a key part in the digital transformation ...
  • Toward Interactive Music Generation: A Position Paper 

    Dadman, Shayan; Bremdal, Bernt Arild; Bang, Børre; Dalmo, Rune (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-11-30)
    Music generation using deep learning has received considerable attention in recent years. Researchers have developed various generative models capable of imitating musical conventions, comprehending the musical corpora, and generating new samples based on the learning outcome. Although the samples generated by these models are persuasive, they often lack musical structure and creativity. For instance, ...
  • Blending techniques in Curve and Surface constructions 

    Lakså, Arne (Book; Bok, 2022)

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