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Journal Articles SIAM Journal on Numerical Analysis Year : 2013

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 nonsmooth data or nonsmooth 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 nonsmooth solutions.

Dates and versions

hal-00964139 , version 1 (24-03-2014)



Alexandre Ern, Jean-Luc Guermond. Weighting the edge stabilization. SIAM Journal on Numerical Analysis, 2013, 51 (3), pp.1655-1677. ⟨10.1137/120867482⟩. ⟨hal-00964139⟩
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