Essays about: "Dirichlet problems for the Infinity-Laplace equation"

Found 1 essay containing the words Dirichlet problems for the Infinity-Laplace equation.

  1. 1. Numerical experiments with FEMLAB® to support mathematical research

    University essay from Matematiska institutionen

    Author : Mattias Hansson; [2005]
    Keywords : FEMLAB; numerical experiments; Dirichlet problems for the Infinity-Laplace equation; AMLE; Absolutely Minimizing Lipschitz Extension; sets of uniqueness; critical segments; lines of singularity;

    Abstract : Using the finite element software FEMLAB® solutions are computed to Dirichlet problems for the Infinity-Laplace equation ∆∞(u) ≡ u2xuxx + 2uxuyuxy + u2yuyy = 0. For numerical reasons ∆q(u) = div (|▼u|q▼u) = 0, which (formally) approaches as ∆∞(u) = 0 as q → ∞, is used in computation. READ MORE