Characteristic initial value problem for hyperbolic systems of second order differential equations
Contact problems with given time-dependent friction force in linear viscoelasticity
Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary
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.