Sökning: "Legendre transform"

Hittade 1 uppsats innehållade orden Legendre transform.

  1. 1. The Hanging Rope: A Convex Optimization Problem in the Calculus of Variations

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Erik Steen; [2020]
    Nyckelord :Elasticity theory; non-linear materials; calculus of variation; convex analysis; Legendre transform; Mathematics and Statistics;

    Sammanfattning : We study the problem first introduced by Verma and Keller in 1984 of how to taper a heavy rope such that its elongation is minimized. The problem is stated as an optimization problem of a functional J[w]. Specifically we provide a proof of optimality for the solution using traditional convex optimization techniques. LÄS MER