Space-time finite element methods for dynamic
frictional contact problems are discussed in this
article. The discretization scheme is based on a mixed
formulation of the continuous problem, where the Lagrange
multipliers represent the contact and frictional
stresses. Using piecewise d-linear and globally continuous
basis functions in space and time to construct the
trial space for the displacement as well as the velocity
field and combining it with a test space consisting
of piecewise constant and possibly discontinuous basis
functions in time, a space-time Galerkin method is constructed.
The Lagrange multipliers are approximated
by piecewise constant functions in space and time. Several
methods to ensure the stability of the Lagrange
multipliers are proposed and compared numerically.