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mass redistribution method

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Convergence of mass redistribution method for theone-dimensional wave equation with a unilateral constraint at the boundary
Farshid Dabaghi, Adrien Petrov, Jérôme Pousin, Yves Renard
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 48 / Issue 4 / July 2014

Published online by Cambridge University Press:

08 July 2014, pp. 1147-1169

Print publication:

July 2014
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This paper focuses on a one-dimensional wave equation being subjected to a unilateralboundary condition. Under appropriate regularity assumptions on the initial data, a newproof 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 thecontact node, is introduced and its convergence is proved. Finally, some numericalexperiments are reported.