  Many real-world networks are embedded in space, and their resilience in the
presence of reinforced nodes has not been studied. Here we model such networks
using a spatial network model that have an exponential distribution of link
length $r$ having a characteristic length $\zeta$. We find that reinforced
nodes can significantly increase the resilience of the networks which varies
with strength of spatial embedding. We also study different reinforced node
distribution strategies for improving the network resilience. Interestingly, we
find that the best strategy is highly dependent on the stage of the percolation
process, i.e., the expected fraction of failures. Finally, we show that the
reinforced nodes are analogous to an external field in percolation phase
transition i.e., having the same critical exponents and that the critical
exponents satisfy Widom's relation.
