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Relaxed Kacanov scheme for the p-Laplacian with large p

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arxiv 2210.06402 v1 pith:OPPP7V73 submitted 2022-10-12 math.NA cs.NA

Relaxed Kacanov scheme for the p-Laplacian with large p

classification math.NA cs.NA
keywords schemekacanovproblemrelaxedadditionalcomputationconstantsconvergence
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We introduce a globally convergent relaxed Kacanov scheme for the computation of the discrete minimizer to the $p$-Laplace problem with $2 \leq p < \infty$. 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.

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