  We formulate a general three-dimensional semiclassical model for the study of
correlated multielectron escape during fragmentation of molecules driven by
intense infrared laser pulses, while fully accounting for the magnetic field of
the laser pulse. We do so in the context of triple ionization of strongly
driven HeH$_{2}^{+}$. Our model fully accounts for the singularity in the
Coulomb potentials of a recolliding electron with the core and a bound electron
with the core as well as for the interaction of a recolliding with a bound
electron. To avoid artificial autoionization, our model employs effective
potentials to treat the interaction between bound electrons. We focus on triple
and double ionization as well as frustrated triple and frustrated double
ionization. In these processes, we identify and explain the main features of
the sum of the kinetic energies of the final ion fragments.
  We find that frustrated double ionization is a major ionization process, and
we identify the different channels and hence different final fragments that are
obtained through frustrated double ionization. Also, we discuss the differences
between frustrated double and triple ionization.
