Efficient algorithms for solving the p-Laplacian in polynomial time

Sébastien Loisel

doi:10.1007/s00211-020-01141-z

Efficient algorithms for solving the p-Laplacian in polynomial time

Sébastien Loisel^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

71 Downloads (Pure)

Abstract

The p-Laplacian is a nonlinear partial differential equation, parametrized by p∈ [1 , ∞]. We provide new numerical algorithms, based on the barrier method, for solving the p-Laplacian numerically in O(nlogn) Newton iterations for all p∈ [1 , ∞] , where n is the number of grid points. We confirm our estimates with numerical experiments.

Original language	English
Pages (from-to)	369-400
Number of pages	32
Journal	Numerische Mathematik
Volume	146
Issue number	2
Early online date	24 Aug 2020
DOIs	https://doi.org/10.1007/s00211-020-01141-z
Publication status	Published - Oct 2020

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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abstract = "The p-Laplacian is a nonlinear partial differential equation, parametrized by p∈ [1 , ∞]. We provide new numerical algorithms, based on the barrier method, for solving the p-Laplacian numerically in O(nlogn) Newton iterations for all p∈ [1 , ∞] , where n is the number of grid points. We confirm our estimates with numerical experiments.",

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AB - The p-Laplacian is a nonlinear partial differential equation, parametrized by p∈ [1 , ∞]. We provide new numerical algorithms, based on the barrier method, for solving the p-Laplacian numerically in O(nlogn) Newton iterations for all p∈ [1 , ∞] , where n is the number of grid points. We confirm our estimates with numerical experiments.

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Efficient algorithms for solving the p-Laplacian in polynomial time

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