Weighting the edge stabilization

A modification of the edge stabilization technique is proposed to improve the behavior of the method when solving conservation equations with non-smooth data and/or non-smooth solutions. The key ingredient is tempering the edge stabilization in regions of large gradients through appropriate weights. The new method is shown to preserve the convergence properties of the original method on smooth solutions and numerical tests indicate that it performs better on non-smooth solutions.

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Additional Info

Field Value
Source https://hal.science/hal-00674336
Author Ern, Alexandre, Guermond, Jean-Luc
Maintainer CCSD
Last Updated May 26, 2026, 21:55 (UTC)
Created May 26, 2026, 21:55 (UTC)
Identifier hal-00674336
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) ; École nationale des ponts et chaussées (ENPC)
creator Ern, Alexandre
date 2012-02-24T00:00:00
harvest_object_id 5926f36a-8d9c-453e-8c87-7b424ae02dd7
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-03-03T00:00:00
set_spec type:REPORT