Blar i NTNU Open på forfatter "Galtung, Sondre Tesdal"

Viser treff 1-12 av 12

    • A 2-dimensional shape optimization problem for tree branches 

      Bressan, Alberto; Galtung, Sondre Tesdal (Peer reviewed; Journal article, 2020)
      The paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient ...

    • A Convergent Crank-Nicolson Galerkin Scheme for the Benjamin-Ono Equation 

      Galtung, Sondre Tesdal (Master thesis, 2016)
      In this thesis we prove the convergence of a Crank--Nicolson type Galerkin finite element scheme for the initial value problem associated to the Benjamin--Ono equation. The proof is based on a recent result for a similar ...

    • A Convergent Crank–Nicolson Galerkin Scheme for the Benjamin–Ono Equation 

      Galtung, Sondre Tesdal (Journal article; Peer reviewed, 2018)
      In this paper we prove the convergence of a Crank–Nicolson type Galerkin finite element scheme for the initial value problem associated to the Benjamin–Ono equation. The proof is based on a recent result for a similar ...

    • Competition models for plant stems 

      Bressan, Alberto; Galtung, Sondre Tesdal; Reigstad, Audun; Ridder, Johanna (Peer reviewed; Journal article, 2020)
      The models introduced in this paper describe a uniform distribution of plant stems competing for sunlight. The shape of each stem, and the density of leaves, are designed in order to maximize the captured sunlight, subject ...

    • Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation 

      Galtung, Sondre Tesdal (Chapter, 2018)
      We consider a recently proposed fully discrete Galerkin scheme for the Benjamin–Ono equation which has been found to be locally convergent in finite time for initial data in L 2 (R). By assuming that the initial data is ...

    • Discretizations of Wave Equations and Applications of Variational Principles 

      Galtung, Sondre Tesdal (Doctoral theses at NTNU;2020:331, Doctoral thesis, 2020)

    • Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights 

      Ben-Porat, Immanuel; Carrillo, José A.; Galtung, Sondre Tesdal (Journal article; Peer reviewed, 2024)
      The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results (Ayi and Duteil, 2021; Duteil, 2022) for the case of regular ...

    • A numerical study of variational discretizations of the Camassa–Holm equation 

      Galtung, Sondre Tesdal; Grunert, Katrin (Peer reviewed; Journal article, 2021)
      We present two semidiscretizations of the Camassa–Holm equation in periodic domains based on variational formulations and energy conservation. The first is a periodic version of an existing conservative multipeakon method ...

    • Optimal shapes for tree roots 

      Bressan, Alberto; Galtung, Sondre Tesdal; Sun, Qing (Journal article, 2022)
      The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure μ describing the distribution of root hair cells, we seek to maximize a harvest functional H , computing the ...

    • A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa–Holm system 

      Galtung, Sondre Tesdal; Raynaud, Xavier (Peer reviewed; Journal article, 2021)
      We define a kinetic and a potential energy such that the principle of stationary action from Lagrangian mechanics yields a Camassa–Holm system (2CH) as the governing equations. After discretizing these energies, we use the ...

    • Shock interactions for the Burgers-Hilbert equation 

      Bressan, Alberto; Galtung, Sondre Tesdal; Grunert, Katrin; Nguyen, Khai Tien (Peer reviewed; Journal article, 2022)
      This paper provides an asymptotic description of a solution to the Burgers-Hilbert equation in a neighborhood of a point where two shocks interact. The solution is obtained as the sum of a function with H2 regularity away ...

    • Stumpons are non-conservative traveling waves of the Camassa–Holm equation 

      Galtung, Sondre Tesdal; Grunert, Katrin (Peer reviewed; Journal article, 2022)
      It is well-known that by requiring solutions of the Camassa–Holm equation to satisfy a particular local conservation law for the energy in the weak sense, one obtains what is known as conservative solutions. As conservative ...