Blar i NTNU Open på forfatter "Galtung, Sondre Tesdal"
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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) -
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 ... -
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 ...