  Soft error rates are increasing as modern architectures require increasingly
small features at low voltages. Due to the large number of components used in
HPC architectures, these are particularly vulnerable to soft errors. Hence,
when designing applications that run for long time periods on large machines,
algorithmic resilience must be taken into account. In this paper we analyse the
inherent resiliency of a-posteriori limiting procedures in the context of the
explicit ADER DG hyperbolic PDE solver ExaHyPE. The a-posteriori limiter checks
element-local high-order DG solutions for physical admissibility, and can thus
be expected to also detect hardware-induced errors. Algorithmically, it can be
interpreted as element-local checkpointing and restarting of the solver with a
more robust finite volume scheme on a fine subgrid. We show that the limiter
indeed increases the resilience of the DG algorithm, detecting and correcting
particularly those faults which would otherwise lead to a fatal failure.
