Numerical Experiments with FEMLAB to Support Mathematical Research.

Hansson, M
Linköping University

Using the finite element software FEMLAB R solutions are computed to Dirichlet problems for the Infinity-Laplace equation.

A parametric nonlinear solver is used, which employs a variant of the damped Newton- Gauss method.

From the experiments one main conjecture is formulated: For Dirichlet problems, which have a non-constant boundary function, it is possible to predict the structure of the lines of singularity in solutions in the Infinity-Laplace case by examining the corresponding Laplace case.