Relaxed Kacanov scheme for the p-Laplacian with large p
We introduce a globally convergent relaxed Kacanov scheme for the computation of the discrete minimizer to the p-Laplace problem with 2 ≤ p < ∞. The iterative scheme is easy to implement since each iterate results only from the solve of a weighted, linear Poisson problem. It neither requires an additional line search nor involves unknown constants for the step length. The rate of convergence is independent of the underlying mesh.
READ FULL TEXT