Entropy-diminishing CVFE scheme for solving anisotropic degenerate diffusion equations

We consider a Control Volume Finite Elements (CVFE) scheme for solving possibly degenerated parabolic equations. This scheme does not require the introduction of the so-called Kirchhoff transform in its definition. The discrete solution obtained via the scheme remains in the physical range whatever the anisotropy of the problem, while the natural entropy of the problem decreases with time. Moreover, the discrete solution converges towards the weak solution of the continuous problem. Numerical results are provided and discussed.

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Source https://hal.science/hal-00937595
Author Cancès, Clément, Guichard, Cindy
Maintainer CCSD
Last Updated May 7, 2026, 05:33 (UTC)
Created May 7, 2026, 05:33 (UTC)
Identifier hal-00937595
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Jacques-Louis Lions (LJLL) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Cancès, Clément
date 2014-05-07T00:00:00
harvest_object_id 2dacc30a-0cb1-4410-b847-8aff7bc3791b
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-03T00:00:00
set_spec type:UNDEFINED