Numerical methods for nonsmooth dynamical systems

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A nonsmooth generalized‐ α scheme for flexible multibody systems with unilateral constraints (2013, methodology): “In this section, we propose to reformulate the iteration in (36) as a LCP, see [9, 40, 41], which replaces the linearized system that we have to solve at each Newton’s step.”
On solving contact problems with Coulomb friction: formulations and numerical comparisons (2018, background): “For a description of the derivation of such problems in various practical situations we refer to (Laursen, 2003; Wriggers, 2006; Acary and Brogliato, 2008; Acary and Cadoux, 2013).”
A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis☆ (2013, background): “Next, we need to show that ᾱ = g(β̄) is in [0,1].”