Analysis of the Modified Mass Method for the Dynamic Signorini Problem with Coulomb Friction

Autor:	Alexandre Ern, David Doyen
Rok vydání:	2011
Předmět:	Numerical Analysis Computational Mathematics Work (thermodynamics) Differential inclusion Discretization Applied Mathematics Mathematical analysis Unilateral contact Space (mathematics) Signorini problem Lipschitz continuity Finite element method Mathematics
Zdroj:	SIAM Journal on Numerical Analysis. 49:2039-2056
ISSN:	1095-7170 0036-1429
DOI:	10.1137/100804711
Popis:	The aim of the present work is to analyze the modified mass method for the dynamic Signorini problem with Coulomb friction. We prove that the space semidiscrete problem is equivalent to an upper semicontinuous one-sided Lipschitz differential inclusion and is, therefore, well-posed. We derive an energy balance. Next, considering an implicit time-integration scheme, we prove that, under a CFL-type condition on the discretization parameters, the fully discrete problem is well-posed. For a fixed discretization in space, we also prove that the fully discrete solutions converge to the space semidiscrete solution when the time step tends to zero.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::92b9304d0448ffec6d8bf96ca57bf90c https://doi.org/10.1137/100804711 Zobrazit plný text záznamu