9 citations · 32 across the 12 of their papers we have counts for
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math.NA2020★ 5 cited
A numerical study of variational discretizations of the Camassa-Holm equation
Sondre Tesdal Galtung, Katrin Grunert
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…
math.OC2020
On a Shape Optimization Problem for Tree Branches
Alberto Bressan, Sondre T. Galtung
This 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 c…
math.AP2020★ 4 cited
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa-Holm system
Sondre Tesdal Galtung, Xavier Raynaud
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. Af…