This paper focuses on a one-dimensional wave equation being subjected to a unilateral boundary condition. Under appropriate regularity assumptions on the initial data, a new proof of existence and uniqueness results is proposed. The mass redistribution method, which is based on a redistribution of the body mass such that there is no inertia at the contact node, is introduced and its convergence is proved. Finally, some numerical experiments are reported.
@article{M2AN_2014__48_4_1147_0,
author = {Dabaghi, Farshid and Petrov, Adrien and Pousin, J\'er\^ome and Renard, Yves},
title = {Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {48},
year = {2014},
pages = {1147-1169},
doi = {10.1051/m2an/2013133},
mrnumber = {3264349},
zbl = {1297.35148},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2014__48_4_1147_0}
}
Dabaghi, Farshid; Petrov, Adrien; Pousin, Jérôme; Renard, Yves. Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 48 (2014) pp. 1147-1169. doi : 10.1051/m2an/2013133. http://gdmltest.u-ga.fr/item/M2AN_2014__48_4_1147_0/
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