English

Relaxed Kacanov scheme for the p-Laplacian with large p

Numerical Analysis 2022-10-13 v1 Numerical Analysis

Abstract

We introduce a globally convergent relaxed Kacanov scheme for the computation of the discrete minimizer to the pp-Laplace problem with 2p<2 \leq p < \infty. 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.

Keywords

Cite

@article{arxiv.2210.06402,
  title  = {Relaxed Kacanov scheme for the p-Laplacian with large p},
  author = {Anna Kh. Balci and Lars Diening and Johannes Storn},
  journal= {arXiv preprint arXiv:2210.06402},
  year   = {2022}
}