Essays about: "Erik Steen"

Found 1 essay containing the words Erik Steen.

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

    University essay from Lunds universitet/Matematik LTH

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

    Abstract : 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. READ MORE