Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discussion of the Gear-Gupta-Leimkuhler method for impacting mechanical
  systems   In multibody simulation, the Gear-Gupta-Leimkuhler method for only persistent
contacts enforces constraints on position and velocity level at the same time.
It yields a robust numerical discretization of differential algebraic equations
avoiding the drift-off effect. In this work, we carry over these benefits to
impacting mechanical systems with unilateral constraints. For this kind of a
mechanical system, adding the position level constraint to a timestepping
scheme on velocity level even maintains physical consistency of the impulsive
discretization. Hence, we propose a timestepping scheme based on Moreau's
midpoint rule which enables to achieve not only compliance of the impact law
but also of the non-penetration constraint. The choice of a decoupled and
consecutive evaluation of the respective constraints can be interpreted as a
not energy-consistent projection to the non-penetration constraint at the end
of each time step. It is the implicit coupling of position and velocity level
which yields satisfactory results. An implicit evaluation of the right hand
side improves stability properties without additional cost. With the prox
function formulation, the overall set of nonsmooth equations is solved by a
Newton scheme. Results from simulations of a slider-crank mechanism with
unilateral constraints demonstrate the capability of our approach.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph